Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(13,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.s (of order \(28\), degree \(12\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 377.15 | ||
Character | \(\chi\) | \(=\) | 490.377 |
Dual form | 490.2.s.a.13.15 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{3}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.846724 | − | 0.532032i | 0.598724 | − | 0.376203i | ||||
\(3\) | −2.67756 | + | 0.301689i | −1.54589 | + | 0.174180i | −0.843311 | − | 0.537426i | \(-0.819397\pi\) |
−0.702579 | + | 0.711606i | \(0.747968\pi\) | |||||||
\(4\) | 0.433884 | − | 0.900969i | 0.216942 | − | 0.450484i | ||||
\(5\) | −2.10481 | − | 0.754840i | −0.941299 | − | 0.337575i | ||||
\(6\) | −2.10665 | + | 1.67999i | −0.860035 | + | 0.685855i | ||||
\(7\) | 1.62687 | − | 2.08646i | 0.614898 | − | 0.788607i | ||||
\(8\) | −0.111964 | − | 0.993712i | −0.0395854 | − | 0.351330i | ||||
\(9\) | 4.15353 | − | 0.948016i | 1.38451 | − | 0.316005i | ||||
\(10\) | −2.18379 | + | 0.480684i | −0.690575 | + | 0.152005i | ||||
\(11\) | −0.835120 | + | 3.65890i | −0.251798 | + | 1.10320i | 0.677980 | + | 0.735080i | \(0.262855\pi\) |
−0.929778 | + | 0.368120i | \(0.880002\pi\) | |||||||
\(12\) | −0.889938 | + | 2.54330i | −0.256903 | + | 0.734186i | ||||
\(13\) | −2.23506 | + | 1.40438i | −0.619895 | + | 0.389506i | −0.805053 | − | 0.593203i | \(-0.797863\pi\) |
0.185158 | + | 0.982709i | \(0.440720\pi\) | |||||||
\(14\) | 0.267445 | − | 2.63220i | 0.0714776 | − | 0.703485i | ||||
\(15\) | 5.86348 | + | 1.38613i | 1.51394 | + | 0.357898i | ||||
\(16\) | −0.623490 | − | 0.781831i | −0.155872 | − | 0.195458i | ||||
\(17\) | −1.33584 | + | 3.81762i | −0.323990 | + | 0.925910i | 0.660555 | + | 0.750778i | \(0.270321\pi\) |
−0.984545 | + | 0.175132i | \(0.943965\pi\) | |||||||
\(18\) | 3.01252 | − | 3.01252i | 0.710057 | − | 0.710057i | ||||
\(19\) | −4.32447 | −0.992102 | −0.496051 | − | 0.868293i | \(-0.665217\pi\) | ||||
−0.496051 | + | 0.868293i | \(0.665217\pi\) | |||||||
\(20\) | −1.59333 | + | 1.56885i | −0.356279 | + | 0.350806i | ||||
\(21\) | −3.72657 | + | 6.07742i | −0.813205 | + | 1.32620i | ||||
\(22\) | 1.23954 | + | 3.54239i | 0.264270 | + | 0.755240i | ||||
\(23\) | −5.05483 | + | 1.76876i | −1.05400 | + | 0.368812i | −0.801007 | − | 0.598655i | \(-0.795702\pi\) |
−0.252998 | + | 0.967467i | \(0.581416\pi\) | |||||||
\(24\) | 0.599583 | + | 2.62695i | 0.122389 | + | 0.536223i | ||||
\(25\) | 3.86043 | + | 3.17759i | 0.772086 | + | 0.635518i | ||||
\(26\) | −1.14530 | + | 2.37825i | −0.224613 | + | 0.466413i | ||||
\(27\) | −3.20543 | + | 1.12163i | −0.616885 | + | 0.215857i | ||||
\(28\) | −1.17396 | − | 2.37104i | −0.221858 | − | 0.448084i | ||||
\(29\) | 3.31992 | + | 6.89388i | 0.616493 | + | 1.28016i | 0.942314 | + | 0.334729i | \(0.108645\pi\) |
−0.325821 | + | 0.945431i | \(0.605641\pi\) | |||||||
\(30\) | 5.70222 | − | 1.94588i | 1.04108 | − | 0.355268i | ||||
\(31\) | 2.35007i | 0.422084i | 0.977477 | + | 0.211042i | \(0.0676857\pi\) | ||||
−0.977477 | + | 0.211042i | \(0.932314\pi\) | |||||||
\(32\) | −0.943883 | − | 0.330279i | −0.166857 | − | 0.0583856i | ||||
\(33\) | 1.13224 | − | 10.0489i | 0.197097 | − | 1.74928i | ||||
\(34\) | 0.900007 | + | 3.94319i | 0.154350 | + | 0.676251i | ||||
\(35\) | −4.99918 | + | 3.16357i | −0.845016 | + | 0.534741i | ||||
\(36\) | 0.948016 | − | 4.15353i | 0.158003 | − | 0.692255i | ||||
\(37\) | −4.20314 | − | 1.47074i | −0.690991 | − | 0.241788i | −0.0381378 | − | 0.999272i | \(-0.512143\pi\) |
−0.652854 | + | 0.757484i | \(0.726428\pi\) | |||||||
\(38\) | −3.66164 | + | 2.30076i | −0.593996 | + | 0.373232i | ||||
\(39\) | 5.56083 | − | 4.43461i | 0.890445 | − | 0.710106i | ||||
\(40\) | −0.514430 | + | 2.17609i | −0.0813386 | + | 0.344070i | ||||
\(41\) | 2.99797 | + | 2.39080i | 0.468204 | + | 0.373380i | 0.828985 | − | 0.559270i | \(-0.188919\pi\) |
−0.360781 | + | 0.932650i | \(0.617490\pi\) | |||||||
\(42\) | 0.0780050 | + | 7.12856i | 0.0120364 | + | 1.09996i | ||||
\(43\) | −6.43382 | − | 0.724917i | −0.981148 | − | 0.110549i | −0.393205 | − | 0.919451i | \(-0.628634\pi\) |
−0.587943 | + | 0.808902i | \(0.700062\pi\) | |||||||
\(44\) | 2.93421 | + | 2.33995i | 0.442349 | + | 0.352761i | ||||
\(45\) | −9.45798 | − | 1.13986i | −1.40991 | − | 0.169920i | ||||
\(46\) | −3.33901 | + | 4.18698i | −0.492310 | + | 0.617337i | ||||
\(47\) | −4.83236 | − | 7.69066i | −0.704873 | − | 1.12180i | −0.986734 | − | 0.162343i | \(-0.948095\pi\) |
0.281862 | − | 0.959455i | \(-0.409048\pi\) | |||||||
\(48\) | 1.90530 | + | 1.90530i | 0.275007 | + | 0.275007i | ||||
\(49\) | −1.70661 | − | 6.78878i | −0.243802 | − | 0.969825i | ||||
\(50\) | 4.95930 | + | 0.636667i | 0.701351 | + | 0.0900384i | ||||
\(51\) | 2.42507 | − | 10.6249i | 0.339578 | − | 1.48779i | ||||
\(52\) | 0.295548 | + | 2.62306i | 0.0409851 | + | 0.363753i | ||||
\(53\) | 2.10351 | − | 0.736050i | 0.288939 | − | 0.101104i | −0.181918 | − | 0.983314i | \(-0.558230\pi\) |
0.470857 | + | 0.882209i | \(0.343945\pi\) | |||||||
\(54\) | −2.11737 | + | 2.65510i | −0.288138 | + | 0.361313i | ||||
\(55\) | 4.51965 | − | 7.07090i | 0.609430 | − | 0.953440i | ||||
\(56\) | −2.25549 | − | 1.38303i | −0.301402 | − | 0.184815i | ||||
\(57\) | 11.5790 | − | 1.30464i | 1.53368 | − | 0.172804i | ||||
\(58\) | 6.47882 | + | 4.07091i | 0.850710 | + | 0.534537i | ||||
\(59\) | 5.53152 | + | 6.93631i | 0.720143 | + | 0.903031i | 0.998346 | − | 0.0574917i | \(-0.0183103\pi\) |
−0.278203 | + | 0.960522i | \(0.589739\pi\) | |||||||
\(60\) | 3.79293 | − | 4.68139i | 0.489665 | − | 0.604365i | ||||
\(61\) | 2.11832 | + | 4.39874i | 0.271223 | + | 0.563201i | 0.991442 | − | 0.130546i | \(-0.0416729\pi\) |
−0.720219 | + | 0.693747i | \(0.755959\pi\) | |||||||
\(62\) | 1.25031 | + | 1.98986i | 0.158790 | + | 0.252712i | ||||
\(63\) | 4.77924 | − | 10.2085i | 0.602128 | − | 1.28614i | ||||
\(64\) | −0.974928 | + | 0.222521i | −0.121866 | + | 0.0278151i | ||||
\(65\) | 5.76446 | − | 1.26884i | 0.714994 | − | 0.157380i | ||||
\(66\) | −4.38763 | − | 9.11101i | −0.540080 | − | 1.12149i | ||||
\(67\) | −4.26341 | − | 4.26341i | −0.520859 | − | 0.520859i | 0.396972 | − | 0.917831i | \(-0.370061\pi\) |
−0.917831 | + | 0.396972i | \(0.870061\pi\) | |||||||
\(68\) | 2.85996 | + | 2.85996i | 0.346821 | + | 0.346821i | ||||
\(69\) | 13.0010 | − | 6.26095i | 1.56514 | − | 0.753730i | ||||
\(70\) | −2.54981 | + | 5.33840i | −0.304761 | + | 0.638060i | ||||
\(71\) | −10.2498 | − | 4.93606i | −1.21643 | − | 0.585802i | −0.288115 | − | 0.957596i | \(-0.593029\pi\) |
−0.928316 | + | 0.371793i | \(0.878743\pi\) | |||||||
\(72\) | −1.40710 | − | 4.02127i | −0.165829 | − | 0.473911i | ||||
\(73\) | 8.12399 | − | 12.9292i | 0.950841 | − | 1.51325i | 0.0953447 | − | 0.995444i | \(-0.469605\pi\) |
0.855496 | − | 0.517810i | \(-0.173252\pi\) | |||||||
\(74\) | −4.34138 | + | 0.990891i | −0.504675 | + | 0.115189i | ||||
\(75\) | −11.2952 | − | 7.34354i | −1.30426 | − | 0.847958i | ||||
\(76\) | −1.87632 | + | 3.89621i | −0.215228 | + | 0.446927i | ||||
\(77\) | 6.27551 | + | 7.69498i | 0.715161 | + | 0.876925i | ||||
\(78\) | 2.34913 | − | 6.71343i | 0.265987 | − | 0.760147i | ||||
\(79\) | − | 0.691548i | − | 0.0778052i | −0.999243 | − | 0.0389026i | \(-0.987614\pi\) | ||
0.999243 | − | 0.0389026i | \(-0.0123862\pi\) | |||||||
\(80\) | 0.722168 | + | 2.11624i | 0.0807409 | + | 0.236603i | ||||
\(81\) | −3.27097 | + | 1.57521i | −0.363441 | + | 0.175024i | ||||
\(82\) | 3.81043 | + | 0.429333i | 0.420792 | + | 0.0474119i | ||||
\(83\) | −7.23382 | + | 11.5126i | −0.794015 | + | 1.26367i | 0.166666 | + | 0.986013i | \(0.446700\pi\) |
−0.960681 | + | 0.277654i | \(0.910443\pi\) | |||||||
\(84\) | 3.85867 | + | 5.99442i | 0.421015 | + | 0.654045i | ||||
\(85\) | 5.69339 | − | 7.02702i | 0.617535 | − | 0.762187i | ||||
\(86\) | −5.83335 | + | 2.80919i | −0.629026 | + | 0.302923i | ||||
\(87\) | −10.9691 | − | 17.4572i | −1.17601 | − | 1.87161i | ||||
\(88\) | 3.72940 | + | 0.420202i | 0.397555 | + | 0.0447937i | ||||
\(89\) | 2.57566 | + | 11.2847i | 0.273020 | + | 1.19618i | 0.906428 | + | 0.422360i | \(0.138798\pi\) |
−0.633409 | + | 0.773817i | \(0.718345\pi\) | |||||||
\(90\) | −8.61474 | + | 4.06680i | −0.908074 | + | 0.428679i | ||||
\(91\) | −0.705963 | + | 6.94811i | −0.0740050 | + | 0.728360i | ||||
\(92\) | −0.599609 | + | 5.32168i | −0.0625136 | + | 0.554824i | ||||
\(93\) | −0.708988 | − | 6.29244i | −0.0735186 | − | 0.652496i | ||||
\(94\) | −8.18336 | − | 3.94090i | −0.844049 | − | 0.406473i | ||||
\(95\) | 9.10218 | + | 3.26429i | 0.933864 | + | 0.334909i | ||||
\(96\) | 2.62695 | + | 0.599583i | 0.268112 | + | 0.0611947i | ||||
\(97\) | 1.95633 | − | 1.95633i | 0.198635 | − | 0.198635i | −0.600780 | − | 0.799415i | \(-0.705143\pi\) |
0.799415 | + | 0.600780i | \(0.205143\pi\) | |||||||
\(98\) | −5.05688 | − | 4.84025i | −0.510822 | − | 0.488939i | ||||
\(99\) | 15.9891i | 1.60696i | ||||||||
\(100\) | 4.53789 | − | 2.09942i | 0.453789 | − | 0.209942i | ||||
\(101\) | −12.7314 | − | 10.1530i | −1.26683 | − | 1.01026i | −0.998903 | − | 0.0468202i | \(-0.985091\pi\) |
−0.267923 | − | 0.963440i | \(-0.586337\pi\) | |||||||
\(102\) | −3.59944 | − | 10.2866i | −0.356397 | − | 1.01853i | ||||
\(103\) | −17.5785 | + | 1.98062i | −1.73206 | + | 0.195156i | −0.920934 | − | 0.389719i | \(-0.872572\pi\) |
−0.811124 | + | 0.584875i | \(0.801144\pi\) | |||||||
\(104\) | 1.64580 | + | 2.06377i | 0.161384 | + | 0.202369i | ||||
\(105\) | 12.4312 | − | 9.97884i | 1.21316 | − | 0.973835i | ||||
\(106\) | 1.38949 | − | 1.74237i | 0.134959 | − | 0.169234i | ||||
\(107\) | 7.51196 | − | 11.9552i | 0.726208 | − | 1.15575i | −0.255766 | − | 0.966739i | \(-0.582328\pi\) |
0.981974 | − | 0.189015i | \(-0.0605296\pi\) | |||||||
\(108\) | −0.380231 | + | 3.37465i | −0.0365878 | + | 0.324726i | ||||
\(109\) | −8.88515 | − | 2.02798i | −0.851043 | − | 0.194245i | −0.225315 | − | 0.974286i | \(-0.572341\pi\) |
−0.625728 | + | 0.780041i | \(0.715198\pi\) | |||||||
\(110\) | 0.0649545 | − | 8.39170i | 0.00619317 | − | 0.800117i | ||||
\(111\) | 11.6979 | + | 2.66996i | 1.11031 | + | 0.253421i | ||||
\(112\) | −2.64559 | + | 0.0289497i | −0.249985 | + | 0.00273549i | ||||
\(113\) | 10.7543 | + | 6.75736i | 1.01168 | + | 0.635679i | 0.932496 | − | 0.361181i | \(-0.117626\pi\) |
0.0791820 | + | 0.996860i | \(0.474769\pi\) | |||||||
\(114\) | 9.11014 | − | 7.26509i | 0.853242 | − | 0.680438i | ||||
\(115\) | 11.9746 | + | 0.0926872i | 1.11663 | + | 0.00864312i | ||||
\(116\) | 7.65162 | 0.710436 | ||||||||
\(117\) | −7.95202 | + | 7.95202i | −0.735164 | + | 0.735164i | ||||
\(118\) | 8.37401 | + | 2.93019i | 0.770890 | + | 0.269746i | ||||
\(119\) | 5.79207 | + | 8.99795i | 0.530958 | + | 0.824841i | ||||
\(120\) | 0.720918 | − | 5.98181i | 0.0658105 | − | 0.546062i | ||||
\(121\) | −2.77946 | − | 1.33852i | −0.252679 | − | 0.121684i | ||||
\(122\) | 4.13391 | + | 2.59751i | 0.374266 | + | 0.235167i | ||||
\(123\) | −8.74852 | − | 5.49706i | −0.788827 | − | 0.495653i | ||||
\(124\) | 2.11734 | + | 1.01966i | 0.190142 | + | 0.0915677i | ||||
\(125\) | −5.72689 | − | 9.60222i | −0.512229 | − | 0.858849i | ||||
\(126\) | −1.38453 | − | 11.1865i | −0.123343 | − | 0.996569i | ||||
\(127\) | −3.89121 | − | 1.36159i | −0.345289 | − | 0.120822i | 0.152063 | − | 0.988371i | \(-0.451408\pi\) |
−0.497352 | + | 0.867549i | \(0.665694\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 17.4456 | 1.53600 | ||||||||
\(130\) | 4.20585 | − | 4.14124i | 0.368877 | − | 0.363210i | ||||
\(131\) | 5.62901 | − | 4.48899i | 0.491809 | − | 0.392205i | −0.345943 | − | 0.938256i | \(-0.612441\pi\) |
0.837752 | + | 0.546051i | \(0.183869\pi\) | |||||||
\(132\) | −8.56246 | − | 5.38015i | −0.745267 | − | 0.468282i | ||||
\(133\) | −7.03534 | + | 9.02283i | −0.610041 | + | 0.782378i | ||||
\(134\) | −5.87820 | − | 1.34166i | −0.507800 | − | 0.115902i | ||||
\(135\) | 7.59346 | + | 0.0587759i | 0.653541 | + | 0.00505862i | ||||
\(136\) | 3.94319 | + | 0.900007i | 0.338126 | + | 0.0771749i | ||||
\(137\) | −0.753266 | + | 6.68542i | −0.0643559 | + | 0.571174i | 0.919612 | + | 0.392828i | \(0.128503\pi\) |
−0.983968 | + | 0.178346i | \(0.942925\pi\) | |||||||
\(138\) | 7.67723 | − | 12.2182i | 0.653529 | − | 1.04009i | ||||
\(139\) | −10.0620 | + | 12.6174i | −0.853448 | + | 1.07019i | 0.143305 | + | 0.989679i | \(0.454227\pi\) |
−0.996754 | + | 0.0805119i | \(0.974345\pi\) | |||||||
\(140\) | 0.681212 | + | 5.87673i | 0.0575729 | + | 0.496674i | ||||
\(141\) | 15.2591 | + | 19.1343i | 1.28505 | + | 1.61140i | ||||
\(142\) | −11.3049 | + | 1.27376i | −0.948688 | + | 0.106891i | ||||
\(143\) | −3.27195 | − | 9.35070i | −0.273614 | − | 0.781945i | ||||
\(144\) | −3.33087 | − | 2.65628i | −0.277573 | − | 0.221357i | ||||
\(145\) | −1.78401 | − | 17.0163i | −0.148154 | − | 1.41313i | ||||
\(146\) | − | 15.2697i | − | 1.26373i | ||||||
\(147\) | 6.61765 | + | 17.6625i | 0.545815 | + | 1.45678i | ||||
\(148\) | −3.14876 | + | 3.14876i | −0.258827 | + | 0.258827i | ||||
\(149\) | −9.99888 | − | 2.28218i | −0.819140 | − | 0.186963i | −0.207637 | − | 0.978206i | \(-0.566577\pi\) |
−0.611503 | + | 0.791242i | \(0.709435\pi\) | |||||||
\(150\) | −13.4709 | − | 0.208551i | −1.09989 | − | 0.0170281i | ||||
\(151\) | −5.16296 | − | 2.48635i | −0.420155 | − | 0.202336i | 0.211847 | − | 0.977303i | \(-0.432052\pi\) |
−0.632002 | + | 0.774967i | \(0.717767\pi\) | |||||||
\(152\) | 0.484187 | + | 4.29728i | 0.0392728 | + | 0.348556i | ||||
\(153\) | −1.92930 | + | 17.1230i | −0.155975 | + | 1.38431i | ||||
\(154\) | 9.40760 | + | 3.17676i | 0.758086 | + | 0.255990i | ||||
\(155\) | 1.77392 | − | 4.94644i | 0.142485 | − | 0.397307i | ||||
\(156\) | −1.58269 | − | 6.93424i | −0.126717 | − | 0.555183i | ||||
\(157\) | 9.70841 | + | 1.09387i | 0.774815 | + | 0.0873007i | 0.490513 | − | 0.871434i | \(-0.336809\pi\) |
0.284302 | + | 0.958735i | \(0.408238\pi\) | |||||||
\(158\) | −0.367926 | − | 0.585550i | −0.0292706 | − | 0.0465839i | ||||
\(159\) | −5.41022 | + | 2.60542i | −0.429058 | + | 0.206624i | ||||
\(160\) | 1.73738 | + | 1.40766i | 0.137352 | + | 0.111285i | ||||
\(161\) | −4.53309 | + | 13.4242i | −0.357257 | + | 1.05798i | ||||
\(162\) | −1.93154 | + | 3.07403i | −0.151756 | + | 0.241519i | ||||
\(163\) | −14.9033 | − | 1.67920i | −1.16732 | − | 0.131525i | −0.493043 | − | 0.870005i | \(-0.664115\pi\) |
−0.674276 | + | 0.738480i | \(0.735544\pi\) | |||||||
\(164\) | 3.45481 | − | 1.66375i | 0.269775 | − | 0.129917i | ||||
\(165\) | −9.96843 | + | 20.2963i | −0.776041 | + | 1.58006i | ||||
\(166\) | 13.5966i | 1.05530i | ||||||||
\(167\) | −5.39842 | + | 15.4278i | −0.417742 | + | 1.19384i | 0.522295 | + | 0.852765i | \(0.325076\pi\) |
−0.940037 | + | 0.341073i | \(0.889210\pi\) | |||||||
\(168\) | 6.45645 | + | 3.02268i | 0.498126 | + | 0.233205i | ||||
\(169\) | −2.61728 | + | 5.43483i | −0.201329 | + | 0.418064i | ||||
\(170\) | 1.08214 | − | 8.97901i | 0.0829960 | − | 0.688659i | ||||
\(171\) | −17.9618 | + | 4.09967i | −1.37357 | + | 0.313509i | ||||
\(172\) | −3.44466 | + | 5.48214i | −0.262653 | + | 0.418009i | ||||
\(173\) | 0.670748 | + | 1.91689i | 0.0509960 | + | 0.145738i | 0.966564 | − | 0.256424i | \(-0.0825444\pi\) |
−0.915568 | + | 0.402162i | \(0.868259\pi\) | |||||||
\(174\) | −18.5756 | − | 8.94552i | −1.40821 | − | 0.678158i | ||||
\(175\) | 12.9103 | − | 2.88512i | 0.975928 | − | 0.218094i | ||||
\(176\) | 3.38133 | − | 1.62836i | 0.254877 | − | 0.122743i | ||||
\(177\) | −16.9036 | − | 16.9036i | −1.27055 | − | 1.27055i | ||||
\(178\) | 8.18470 | + | 8.18470i | 0.613469 | + | 0.613469i | ||||
\(179\) | −4.85990 | − | 10.0917i | −0.363246 | − | 0.754288i | 0.636611 | − | 0.771185i | \(-0.280336\pi\) |
−0.999857 | + | 0.0168968i | \(0.994621\pi\) | |||||||
\(180\) | −5.13064 | + | 8.02678i | −0.382416 | + | 0.598281i | ||||
\(181\) | 2.49109 | − | 0.568574i | 0.185161 | − | 0.0422618i | −0.128935 | − | 0.991653i | \(-0.541156\pi\) |
0.314096 | + | 0.949391i | \(0.398299\pi\) | |||||||
\(182\) | 3.09886 | + | 6.25873i | 0.229703 | + | 0.463928i | ||||
\(183\) | −6.99899 | − | 11.1388i | −0.517380 | − | 0.823406i | ||||
\(184\) | 2.32360 | + | 4.82501i | 0.171298 | + | 0.355704i | ||||
\(185\) | 7.73662 | + | 6.26832i | 0.568808 | + | 0.460856i | ||||
\(186\) | −3.94810 | − | 4.95076i | −0.289489 | − | 0.363007i | ||||
\(187\) | −12.8527 | − | 8.07590i | −0.939884 | − | 0.590568i | ||||
\(188\) | −9.02573 | + | 1.01696i | −0.658269 | + | 0.0741691i | ||||
\(189\) | −2.87458 | + | 8.51273i | −0.209095 | + | 0.619210i | ||||
\(190\) | 9.44374 | − | 2.07870i | 0.685121 | − | 0.150805i | ||||
\(191\) | 16.8370 | − | 21.1130i | 1.21828 | − | 1.52768i | 0.442383 | − | 0.896826i | \(-0.354133\pi\) |
0.775901 | − | 0.630854i | \(-0.217295\pi\) | |||||||
\(192\) | 2.54330 | − | 0.889938i | 0.183547 | − | 0.0642257i | ||||
\(193\) | 1.45743 | + | 12.9351i | 0.104908 | + | 0.931087i | 0.930368 | + | 0.366626i | \(0.119487\pi\) |
−0.825460 | + | 0.564461i | \(0.809084\pi\) | |||||||
\(194\) | 0.615641 | − | 2.69730i | 0.0442004 | − | 0.193655i | ||||
\(195\) | −15.0519 | + | 5.13647i | −1.07789 | + | 0.367830i | ||||
\(196\) | −6.85695 | − | 1.40794i | −0.489782 | − | 0.100567i | ||||
\(197\) | 1.64496 | + | 1.64496i | 0.117198 | + | 0.117198i | 0.763274 | − | 0.646075i | \(-0.223591\pi\) |
−0.646075 | + | 0.763274i | \(0.723591\pi\) | |||||||
\(198\) | 8.50669 | + | 13.5383i | 0.604544 | + | 0.962126i | ||||
\(199\) | 16.6440 | − | 20.8709i | 1.17986 | − | 1.47950i | 0.336885 | − | 0.941546i | \(-0.390627\pi\) |
0.842975 | − | 0.537952i | \(-0.180802\pi\) | |||||||
\(200\) | 2.72538 | − | 4.19194i | 0.192713 | − | 0.296415i | ||||
\(201\) | 12.7018 | + | 10.1293i | 0.895913 | + | 0.714467i | ||||
\(202\) | −16.1817 | − | 1.82324i | −1.13854 | − | 0.128283i | ||||
\(203\) | 19.7848 | + | 4.28855i | 1.38862 | + | 0.300997i | ||||
\(204\) | −8.52053 | − | 6.79490i | −0.596556 | − | 0.475738i | ||||
\(205\) | −4.50547 | − | 7.29516i | −0.314676 | − | 0.509516i | ||||
\(206\) | −13.8304 | + | 11.0293i | −0.963607 | + | 0.768451i | ||||
\(207\) | −19.3186 | + | 12.1387i | −1.34273 | + | 0.843695i | ||||
\(208\) | 2.49153 | + | 0.871824i | 0.172756 | + | 0.0604501i | ||||
\(209\) | 3.61145 | − | 15.8228i | 0.249809 | − | 1.09449i | ||||
\(210\) | 5.21674 | − | 15.0631i | 0.359989 | − | 1.03945i | ||||
\(211\) | 2.14468 | + | 9.39645i | 0.147646 | + | 0.646878i | 0.993536 | + | 0.113521i | \(0.0362129\pi\) |
−0.845890 | + | 0.533358i | \(0.820930\pi\) | |||||||
\(212\) | 0.249521 | − | 2.21456i | 0.0171372 | − | 0.152096i | ||||
\(213\) | 28.9337 | + | 10.1243i | 1.98250 | + | 0.693708i | ||||
\(214\) | − | 14.1194i | − | 0.965180i | ||||||
\(215\) | 12.9948 | + | 6.38232i | 0.886235 | + | 0.435271i | ||||
\(216\) | 1.47347 | + | 3.05969i | 0.100257 | + | 0.208186i | ||||
\(217\) | 4.90331 | + | 3.82324i | 0.332858 | + | 0.259539i | ||||
\(218\) | −8.60222 | + | 3.01005i | −0.582616 | + | 0.203866i | ||||
\(219\) | −17.8519 | + | 37.0698i | −1.20632 | + | 2.50494i | ||||
\(220\) | −4.40966 | − | 7.14001i | −0.297299 | − | 0.481380i | ||||
\(221\) | −2.37571 | − | 10.4087i | −0.159808 | − | 0.700163i | ||||
\(222\) | 11.3254 | − | 3.96292i | 0.760108 | − | 0.265973i | ||||
\(223\) | 2.10873 | + | 6.02641i | 0.141211 | + | 0.403558i | 0.992669 | − | 0.120865i | \(-0.0385668\pi\) |
−0.851458 | + | 0.524423i | \(0.824281\pi\) | |||||||
\(224\) | −2.22469 | + | 1.43205i | −0.148643 | + | 0.0956830i | ||||
\(225\) | 19.0468 | + | 9.53845i | 1.26979 | + | 0.635897i | ||||
\(226\) | 12.7010 | 0.844861 | ||||||||
\(227\) | −1.39891 | + | 1.39891i | −0.0928491 | + | 0.0928491i | −0.752006 | − | 0.659157i | \(-0.770913\pi\) |
0.659157 | + | 0.752006i | \(0.270913\pi\) | |||||||
\(228\) | 3.84851 | − | 10.9984i | 0.254874 | − | 0.728388i | ||||
\(229\) | 0.625891 | + | 0.784842i | 0.0413600 | + | 0.0518638i | 0.802081 | − | 0.597215i | \(-0.203726\pi\) |
−0.760721 | + | 0.649079i | \(0.775155\pi\) | |||||||
\(230\) | 10.1885 | − | 6.29238i | 0.671808 | − | 0.414907i | ||||
\(231\) | −19.1245 | − | 18.7105i | −1.25830 | − | 1.23106i | ||||
\(232\) | 6.47882 | − | 4.07091i | 0.425355 | − | 0.267268i | ||||
\(233\) | −5.81727 | + | 16.6248i | −0.381102 | + | 1.08913i | 0.580401 | + | 0.814331i | \(0.302896\pi\) |
−0.961503 | + | 0.274796i | \(0.911390\pi\) | |||||||
\(234\) | −2.50244 | + | 10.9639i | −0.163589 | + | 0.716732i | ||||
\(235\) | 4.36597 | + | 19.8350i | 0.284805 | + | 1.29389i | ||||
\(236\) | 8.64944 | − | 1.97418i | 0.563030 | − | 0.128508i | ||||
\(237\) | 0.208632 | + | 1.85166i | 0.0135521 | + | 0.120278i | ||||
\(238\) | 9.69148 | + | 4.53721i | 0.628206 | + | 0.294104i | ||||
\(239\) | 8.03554 | − | 6.40813i | 0.519776 | − | 0.414508i | −0.328147 | − | 0.944627i | \(-0.606424\pi\) |
0.847923 | + | 0.530119i | \(0.177853\pi\) | |||||||
\(240\) | −2.57209 | − | 5.44849i | −0.166028 | − | 0.351699i | ||||
\(241\) | 10.2696 | − | 21.3250i | 0.661522 | − | 1.37367i | −0.252339 | − | 0.967639i | \(-0.581200\pi\) |
0.913861 | − | 0.406026i | \(-0.133086\pi\) | |||||||
\(242\) | −3.06557 | + | 0.345407i | −0.197063 | + | 0.0222036i | ||||
\(243\) | 16.9094 | − | 10.6249i | 1.08474 | − | 0.681587i | ||||
\(244\) | 4.88224 | 0.312553 | ||||||||
\(245\) | −1.53235 | + | 15.5773i | −0.0978985 | + | 0.995196i | ||||
\(246\) | −10.3322 | −0.658757 | ||||||||
\(247\) | 9.66547 | − | 6.07321i | 0.614999 | − | 0.386429i | ||||
\(248\) | 2.33529 | − | 0.263124i | 0.148291 | − | 0.0167084i | ||||
\(249\) | 15.8958 | − | 33.0079i | 1.00735 | − | 2.09179i | ||||
\(250\) | −9.95779 | − | 5.08354i | −0.629786 | − | 0.321511i | ||||
\(251\) | 10.0037 | − | 7.97765i | 0.631425 | − | 0.503545i | −0.254682 | − | 0.967025i | \(-0.581971\pi\) |
0.886107 | + | 0.463480i | \(0.153399\pi\) | |||||||
\(252\) | −7.12387 | − | 8.73523i | −0.448761 | − | 0.550268i | ||||
\(253\) | −2.25033 | − | 19.9722i | −0.141477 | − | 1.25564i | ||||
\(254\) | −4.01920 | + | 0.917355i | −0.252187 | + | 0.0575600i | ||||
\(255\) | −13.1244 | + | 20.5329i | −0.821884 | + | 1.28582i | ||||
\(256\) | −0.222521 | + | 0.974928i | −0.0139076 | + | 0.0609330i | ||||
\(257\) | −2.42754 | + | 6.93750i | −0.151426 | + | 0.432750i | −0.994461 | − | 0.105109i | \(-0.966481\pi\) |
0.843035 | + | 0.537859i | \(0.180767\pi\) | |||||||
\(258\) | 14.7716 | − | 9.28164i | 0.919642 | − | 0.577850i | ||||
\(259\) | −9.90658 | + | 6.37697i | −0.615565 | + | 0.396245i | ||||
\(260\) | 1.35792 | − | 5.74413i | 0.0842147 | − | 0.356236i | ||||
\(261\) | 20.3249 | + | 25.4866i | 1.25808 | + | 1.57758i | ||||
\(262\) | 2.37794 | − | 6.79575i | 0.146909 | − | 0.419843i | ||||
\(263\) | −18.6374 | + | 18.6374i | −1.14923 | + | 1.14923i | −0.162524 | + | 0.986705i | \(0.551964\pi\) |
−0.986705 | + | 0.162524i | \(0.948036\pi\) | |||||||
\(264\) | −10.1125 | −0.622379 | ||||||||
\(265\) | −4.98309 | − | 0.0385707i | −0.306109 | − | 0.00236938i | ||||
\(266\) | −1.15656 | + | 11.3829i | −0.0709131 | + | 0.697929i | ||||
\(267\) | −10.3010 | − | 29.4384i | −0.630408 | − | 1.80160i | ||||
\(268\) | −5.69103 | + | 1.99138i | −0.347635 | + | 0.121643i | ||||
\(269\) | −0.814582 | − | 3.56892i | −0.0496660 | − | 0.217601i | 0.944005 | − | 0.329931i | \(-0.107026\pi\) |
−0.993671 | + | 0.112331i | \(0.964168\pi\) | |||||||
\(270\) | 6.46084 | − | 3.99020i | 0.393194 | − | 0.242836i | ||||
\(271\) | −9.41398 | + | 19.5483i | −0.571859 | + | 1.18748i | 0.391728 | + | 0.920081i | \(0.371877\pi\) |
−0.963587 | + | 0.267396i | \(0.913837\pi\) | |||||||
\(272\) | 3.81762 | − | 1.33584i | 0.231477 | − | 0.0809975i | ||||
\(273\) | −0.205907 | − | 18.8170i | −0.0124620 | − | 1.13885i | ||||
\(274\) | 2.91905 | + | 6.06147i | 0.176346 | + | 0.366187i | ||||
\(275\) | −14.8504 | + | 11.4713i | −0.895513 | + | 0.691743i | ||||
\(276\) | − | 14.4300i | − | 0.868585i | ||||||
\(277\) | 1.94863 | + | 0.681854i | 0.117082 | + | 0.0409686i | 0.388184 | − | 0.921582i | \(-0.373102\pi\) |
−0.271102 | + | 0.962551i | \(0.587388\pi\) | |||||||
\(278\) | −1.80691 | + | 16.0367i | −0.108371 | + | 0.961819i | ||||
\(279\) | 2.22790 | + | 9.76106i | 0.133381 | + | 0.584380i | ||||
\(280\) | 3.70341 | + | 4.61354i | 0.221321 | + | 0.275712i | ||||
\(281\) | −5.00423 | + | 21.9250i | −0.298528 | + | 1.30793i | 0.573793 | + | 0.819000i | \(0.305471\pi\) |
−0.872321 | + | 0.488934i | \(0.837386\pi\) | |||||||
\(282\) | 23.1004 | + | 8.08316i | 1.37561 | + | 0.481345i | ||||
\(283\) | 26.8118 | − | 16.8470i | 1.59379 | − | 1.00145i | 0.617081 | − | 0.786900i | \(-0.288315\pi\) |
0.976713 | − | 0.214548i | \(-0.0688278\pi\) | |||||||
\(284\) | −8.89447 | + | 7.09310i | −0.527790 | + | 0.420898i | ||||
\(285\) | −25.3564 | − | 5.99430i | −1.50199 | − | 0.355072i | ||||
\(286\) | −7.74531 | − | 6.17668i | −0.457990 | − | 0.365235i | ||||
\(287\) | 9.86560 | − | 2.36562i | 0.582348 | − | 0.139638i | ||||
\(288\) | −4.23356 | − | 0.477007i | −0.249465 | − | 0.0281079i | ||||
\(289\) | 0.501359 | + | 0.399821i | 0.0294917 | + | 0.0235189i | ||||
\(290\) | −10.5638 | − | 13.4590i | −0.620326 | − | 0.790337i | ||||
\(291\) | −4.64798 | + | 5.82838i | −0.272470 | + | 0.341666i | ||||
\(292\) | −8.12399 | − | 12.9292i | −0.475420 | − | 0.756627i | ||||
\(293\) | −16.1081 | − | 16.1081i | −0.941047 | − | 0.941047i | 0.0573096 | − | 0.998356i | \(-0.481748\pi\) |
−0.998356 | + | 0.0573096i | \(0.981748\pi\) | |||||||
\(294\) | 15.0003 | + | 11.4345i | 0.874837 | + | 0.666871i | ||||
\(295\) | −6.40698 | − | 18.7750i | −0.373029 | − | 1.09312i | ||||
\(296\) | −0.990891 | + | 4.34138i | −0.0575944 | + | 0.252337i | ||||
\(297\) | −1.42701 | − | 12.6650i | −0.0828033 | − | 0.734900i | ||||
\(298\) | −9.68048 | + | 3.38735i | −0.560775 | + | 0.196224i | ||||
\(299\) | 8.81384 | − | 11.0522i | 0.509718 | − | 0.639166i | ||||
\(300\) | −11.5171 | + | 6.99037i | −0.664940 | + | 0.403589i | ||||
\(301\) | −11.9795 | + | 12.2445i | −0.690485 | + | 0.705764i | ||||
\(302\) | −5.69442 | + | 0.641607i | −0.327677 | + | 0.0369203i | ||||
\(303\) | 37.1523 | + | 23.3443i | 2.13434 | + | 1.34110i | ||||
\(304\) | 2.69626 | + | 3.38101i | 0.154641 | + | 0.193914i | ||||
\(305\) | −1.13831 | − | 10.8575i | −0.0651796 | − | 0.621699i | ||||
\(306\) | 7.47641 | + | 15.5249i | 0.427398 | + | 0.887501i | ||||
\(307\) | 6.55502 | + | 10.4323i | 0.374115 | + | 0.595400i | 0.979722 | − | 0.200364i | \(-0.0642124\pi\) |
−0.605607 | + | 0.795764i | \(0.707070\pi\) | |||||||
\(308\) | 9.65578 | − | 2.31531i | 0.550189 | − | 0.131927i | ||||
\(309\) | 46.4699 | − | 10.6064i | 2.64358 | − | 0.603380i | ||||
\(310\) | −1.12964 | − | 5.13205i | −0.0641591 | − | 0.291481i | ||||
\(311\) | −0.523275 | − | 1.08659i | −0.0296722 | − | 0.0616149i | 0.885606 | − | 0.464437i | \(-0.153743\pi\) |
−0.915278 | + | 0.402823i | \(0.868029\pi\) | |||||||
\(312\) | −5.02934 | − | 5.02934i | −0.284731 | − | 0.284731i | ||||
\(313\) | −12.2743 | − | 12.2743i | −0.693785 | − | 0.693785i | 0.269277 | − | 0.963063i | \(-0.413215\pi\) |
−0.963063 | + | 0.269277i | \(0.913215\pi\) | |||||||
\(314\) | 8.80232 | − | 4.23897i | 0.496744 | − | 0.239219i | ||||
\(315\) | −17.7651 | + | 17.8793i | −1.00095 | + | 1.00738i | ||||
\(316\) | −0.623063 | − | 0.300051i | −0.0350500 | − | 0.0168792i | ||||
\(317\) | 4.99503 | + | 14.2750i | 0.280549 | + | 0.801762i | 0.994798 | + | 0.101870i | \(0.0324827\pi\) |
−0.714249 | + | 0.699892i | \(0.753232\pi\) | |||||||
\(318\) | −3.19479 | + | 5.08448i | −0.179155 | + | 0.285124i | ||||
\(319\) | −27.9965 | + | 6.39002i | −1.56750 | + | 0.357773i | ||||
\(320\) | 2.22000 | + | 0.267551i | 0.124102 | + | 0.0149566i | ||||
\(321\) | −16.5070 | + | 34.2771i | −0.921329 | + | 1.91316i | ||||
\(322\) | 3.30384 | + | 13.7784i | 0.184116 | + | 0.767838i | ||||
\(323\) | 5.77682 | − | 16.5092i | 0.321431 | − | 0.918597i | ||||
\(324\) | 3.63050i | 0.201694i | ||||||||
\(325\) | −13.0909 | − | 1.68058i | −0.726150 | − | 0.0932220i | ||||
\(326\) | −13.5124 | + | 6.50723i | −0.748382 | + | 0.360402i | ||||
\(327\) | 24.4023 | + | 2.74948i | 1.34945 | + | 0.152047i | ||||
\(328\) | 2.04010 | − | 3.24680i | 0.112646 | − | 0.179275i | ||||
\(329\) | −23.9078 | − | 2.42916i | −1.31808 | − | 0.133924i | ||||
\(330\) | 2.35776 | + | 22.4889i | 0.129790 | + | 1.23797i | ||||
\(331\) | 22.9734 | − | 11.0634i | 1.26273 | − | 0.608100i | 0.321837 | − | 0.946795i | \(-0.395700\pi\) |
0.940896 | + | 0.338695i | \(0.109985\pi\) | |||||||
\(332\) | 7.23382 | + | 11.5126i | 0.397008 | + | 0.631834i | ||||
\(333\) | −18.8521 | − | 2.12413i | −1.03309 | − | 0.116401i | ||||
\(334\) | 3.63711 | + | 15.9352i | 0.199014 | + | 0.871936i | ||||
\(335\) | 5.75547 | + | 12.1919i | 0.314455 | + | 0.666112i | ||||
\(336\) | 7.07500 | − | 0.875660i | 0.385973 | − | 0.0477712i | ||||
\(337\) | 3.23467 | − | 28.7085i | 0.176204 | − | 1.56385i | −0.525133 | − | 0.851020i | \(-0.675984\pi\) |
0.701336 | − | 0.712830i | \(-0.252587\pi\) | |||||||
\(338\) | 0.675393 | + | 5.99427i | 0.0367365 | + | 0.326046i | ||||
\(339\) | −30.8339 | − | 14.8488i | −1.67467 | − | 0.806476i | ||||
\(340\) | −3.86085 | − | 8.17848i | −0.209384 | − | 0.443540i | ||||
\(341\) | −8.59865 | − | 1.96259i | −0.465643 | − | 0.106280i | ||||
\(342\) | −13.0276 | + | 13.0276i | −0.704449 | + | 0.704449i | ||||
\(343\) | −16.9409 | − | 7.48366i | −0.914724 | − | 0.404080i | ||||
\(344\) | 6.47453i | 0.349083i | ||||||||
\(345\) | −32.0906 | + | 3.36442i | −1.72770 | + | 0.181134i | ||||
\(346\) | 1.58778 | + | 1.26621i | 0.0853598 | + | 0.0680721i | ||||
\(347\) | 7.48892 | + | 21.4021i | 0.402026 | + | 1.14893i | 0.949951 | + | 0.312398i | \(0.101132\pi\) |
−0.547925 | + | 0.836527i | \(0.684582\pi\) | |||||||
\(348\) | −20.4877 | + | 2.30841i | −1.09826 | + | 0.123744i | ||||
\(349\) | −2.57871 | − | 3.23360i | −0.138035 | − | 0.173091i | 0.708009 | − | 0.706203i | \(-0.249594\pi\) |
−0.846044 | + | 0.533113i | \(0.821022\pi\) | |||||||
\(350\) | 9.39650 | − | 9.31160i | 0.502264 | − | 0.497726i | ||||
\(351\) | 5.58914 | − | 7.00856i | 0.298326 | − | 0.374089i | ||||
\(352\) | 1.99671 | − | 3.17775i | 0.106425 | − | 0.169375i | ||||
\(353\) | −0.722207 | + | 6.40977i | −0.0384392 | + | 0.341158i | 0.959743 | + | 0.280881i | \(0.0906267\pi\) |
−0.998182 | + | 0.0602762i | \(0.980802\pi\) | |||||||
\(354\) | −23.3059 | − | 5.31943i | −1.23870 | − | 0.282724i | ||||
\(355\) | 17.8480 | + | 18.1264i | 0.947273 | + | 0.962051i | ||||
\(356\) | 11.2847 | + | 2.57566i | 0.598088 | + | 0.136510i | ||||
\(357\) | −18.2232 | − | 22.3451i | −0.964474 | − | 1.18263i | ||||
\(358\) | −9.48410 | − | 5.95925i | −0.501250 | − | 0.314956i | ||||
\(359\) | −12.9454 | + | 10.3236i | −0.683231 | + | 0.544858i | −0.902438 | − | 0.430820i | \(-0.858224\pi\) |
0.219207 | + | 0.975678i | \(0.429653\pi\) | |||||||
\(360\) | −0.0737354 | + | 9.52613i | −0.00388620 | + | 0.502071i | ||||
\(361\) | −0.298939 | −0.0157336 | ||||||||
\(362\) | 1.80676 | − | 1.80676i | 0.0949614 | − | 0.0949614i | ||||
\(363\) | 7.84600 | + | 2.74543i | 0.411808 | + | 0.144098i | ||||
\(364\) | 5.95372 | + | 3.65072i | 0.312060 | + | 0.191350i | ||||
\(365\) | −26.8589 | + | 21.0813i | −1.40586 | + | 1.10344i | ||||
\(366\) | −11.8524 | − | 5.70783i | −0.619536 | − | 0.298353i | ||||
\(367\) | 22.2996 | + | 14.0117i | 1.16403 | + | 0.731407i | 0.968432 | − | 0.249278i | \(-0.0801933\pi\) |
0.195595 | + | 0.980685i | \(0.437336\pi\) | |||||||
\(368\) | 4.53451 | + | 2.84922i | 0.236378 | + | 0.148526i | ||||
\(369\) | 14.7187 | + | 7.08814i | 0.766223 | + | 0.368994i | ||||
\(370\) | 9.88573 | + | 1.19141i | 0.513935 | + | 0.0619386i | ||||
\(371\) | 1.88639 | − | 5.58634i | 0.0979367 | − | 0.290028i | ||||
\(372\) | −5.97691 | − | 2.09141i | −0.309888 | − | 0.108435i | ||||
\(373\) | 1.87908 | − | 1.87908i | 0.0972953 | − | 0.0972953i | −0.656784 | − | 0.754079i | \(-0.728084\pi\) |
0.754079 | + | 0.656784i | \(0.228084\pi\) | |||||||
\(374\) | −15.1793 | −0.784905 | ||||||||
\(375\) | 18.2310 | + | 23.9828i | 0.941444 | + | 1.23847i | ||||
\(376\) | −7.10125 | + | 5.66306i | −0.366219 | + | 0.292050i | ||||
\(377\) | −17.1019 | − | 10.7458i | −0.880791 | − | 0.553437i | ||||
\(378\) | 2.09507 | + | 8.73730i | 0.107759 | + | 0.449398i | ||||
\(379\) | 3.94379 | + | 0.900143i | 0.202579 | + | 0.0462373i | 0.322606 | − | 0.946533i | \(-0.395441\pi\) |
−0.120027 | + | 0.992771i | \(0.538298\pi\) | |||||||
\(380\) | 6.89031 | − | 6.78446i | 0.353465 | − | 0.348036i | ||||
\(381\) | 10.8297 | + | 2.47182i | 0.554824 | + | 0.126635i | ||||
\(382\) | 3.02354 | − | 26.8347i | 0.154698 | − | 1.37298i | ||||
\(383\) | −9.73530 | + | 15.4936i | −0.497451 | + | 0.791688i | −0.997223 | − | 0.0744683i | \(-0.976274\pi\) |
0.499773 | + | 0.866157i | \(0.333417\pi\) | |||||||
\(384\) | 1.67999 | − | 2.10665i | 0.0857319 | − | 0.107504i | ||||
\(385\) | −7.40026 | − | 20.9335i | −0.377152 | − | 1.06687i | ||||
\(386\) | 8.11592 | + | 10.1770i | 0.413089 | + | 0.517998i | ||||
\(387\) | −27.4103 | + | 3.08840i | −1.39334 | + | 0.156992i | ||||
\(388\) | −0.913771 | − | 2.61141i | −0.0463897 | − | 0.132574i | ||||
\(389\) | −7.14344 | − | 5.69670i | −0.362187 | − | 0.288834i | 0.425441 | − | 0.904986i | \(-0.360119\pi\) |
−0.787627 | + | 0.616152i | \(0.788691\pi\) | |||||||
\(390\) | −10.0120 | + | 12.3573i | −0.506979 | + | 0.625734i | ||||
\(391\) | − | 21.6602i | − | 1.09540i | ||||||
\(392\) | −6.55501 | + | 2.45598i | −0.331078 | + | 0.124046i | ||||
\(393\) | −13.7177 | + | 13.7177i | −0.691969 | + | 0.691969i | ||||
\(394\) | 2.26800 | + | 0.517656i | 0.114260 | + | 0.0260791i | ||||
\(395\) | −0.522008 | + | 1.45558i | −0.0262651 | + | 0.0732380i | ||||
\(396\) | 14.4056 | + | 6.93739i | 0.723911 | + | 0.348617i | ||||
\(397\) | 3.59281 | + | 31.8871i | 0.180318 | + | 1.60037i | 0.679372 | + | 0.733794i | \(0.262252\pi\) |
−0.499054 | + | 0.866571i | \(0.666319\pi\) | |||||||
\(398\) | 2.98888 | − | 26.5270i | 0.149819 | − | 1.32968i | ||||
\(399\) | 16.1155 | − | 26.2816i | 0.806782 | − | 1.31573i | ||||
\(400\) | 0.0773987 | − | 4.99940i | 0.00386993 | − | 0.249970i | ||||
\(401\) | 2.97459 | + | 13.0325i | 0.148544 | + | 0.650813i | 0.993290 | + | 0.115647i | \(0.0368940\pi\) |
−0.844747 | + | 0.535167i | \(0.820249\pi\) | |||||||
\(402\) | 16.1440 | + | 1.81899i | 0.805190 | + | 0.0907231i | ||||
\(403\) | −3.30039 | − | 5.25254i | −0.164404 | − | 0.261648i | ||||
\(404\) | −14.6715 | + | 7.06542i | −0.729934 | + | 0.351518i | ||||
\(405\) | 8.07379 | − | 0.846466i | 0.401190 | − | 0.0420612i | ||||
\(406\) | 19.0339 | − | 6.89495i | 0.944639 | − | 0.342191i | ||||
\(407\) | 8.89142 | − | 14.1506i | 0.440731 | − | 0.701420i | ||||
\(408\) | −10.8296 | − | 1.22021i | −0.536147 | − | 0.0604093i | ||||
\(409\) | 9.76992 | − | 4.70495i | 0.483092 | − | 0.232645i | −0.176454 | − | 0.984309i | \(-0.556463\pi\) |
0.659546 | + | 0.751664i | \(0.270749\pi\) | |||||||
\(410\) | −7.69616 | − | 3.77993i | −0.380086 | − | 0.186678i | ||||
\(411\) | − | 18.1279i | − | 0.894182i | ||||||
\(412\) | −5.84254 | + | 16.6970i | −0.287841 | + | 0.822603i | ||||
\(413\) | 23.4714 | − | 0.256838i | 1.15495 | − | 0.0126382i | ||||
\(414\) | −9.89934 | + | 20.5562i | −0.486526 | + | 1.01028i | ||||
\(415\) | 23.9160 | − | 18.7714i | 1.17399 | − | 0.921449i | ||||
\(416\) | 2.57348 | − | 0.587379i | 0.126175 | − | 0.0287986i | ||||
\(417\) | 23.1351 | − | 36.8193i | 1.13293 | − | 1.80305i | ||||
\(418\) | −5.36034 | − | 15.3190i | −0.262183 | − | 0.749275i | ||||
\(419\) | 22.8389 | + | 10.9986i | 1.11575 | + | 0.537319i | 0.898578 | − | 0.438814i | \(-0.144601\pi\) |
0.217176 | + | 0.976132i | \(0.430315\pi\) | |||||||
\(420\) | −3.59693 | − | 15.5298i | −0.175512 | − | 0.757776i | ||||
\(421\) | −1.06794 | + | 0.514292i | −0.0520481 | + | 0.0250650i | −0.459727 | − | 0.888060i | \(-0.652053\pi\) |
0.407679 | + | 0.913125i | \(0.366338\pi\) | |||||||
\(422\) | 6.81517 | + | 6.81517i | 0.331757 | + | 0.331757i | ||||
\(423\) | −27.3622 | − | 27.3622i | −1.33040 | − | 1.33040i | ||||
\(424\) | −0.966940 | − | 2.00787i | −0.0469588 | − | 0.0975109i | ||||
\(425\) | −17.2878 | + | 10.4929i | −0.838580 | + | 0.508981i | ||||
\(426\) | 29.8853 | − | 6.82113i | 1.44795 | − | 0.330485i | ||||
\(427\) | 12.6240 | + | 2.73638i | 0.610919 | + | 0.132423i | ||||
\(428\) | −7.51196 | − | 11.9552i | −0.363104 | − | 0.577877i | ||||
\(429\) | 11.5818 | + | 24.0499i | 0.559177 | + | 1.16114i | ||||
\(430\) | 14.3986 | − | 1.50956i | 0.694361 | − | 0.0727976i | ||||
\(431\) | 1.89812 | + | 2.38017i | 0.0914292 | + | 0.114649i | 0.825442 | − | 0.564487i | \(-0.190926\pi\) |
−0.734013 | + | 0.679136i | \(0.762355\pi\) | |||||||
\(432\) | 2.87548 | + | 1.80678i | 0.138346 | + | 0.0869288i | ||||
\(433\) | −26.5495 | + | 2.99141i | −1.27589 | + | 0.143758i | −0.723788 | − | 0.690022i | \(-0.757601\pi\) |
−0.552097 | + | 0.833780i | \(0.686172\pi\) | |||||||
\(434\) | 6.18584 | + | 0.628513i | 0.296930 | + | 0.0301696i | ||||
\(435\) | 9.91041 | + | 45.0239i | 0.475168 | + | 2.15873i | ||||
\(436\) | −5.68227 | + | 7.12534i | −0.272131 | + | 0.341242i | ||||
\(437\) | 21.8595 | − | 7.64896i | 1.04568 | − | 0.365899i | ||||
\(438\) | 4.60670 | + | 40.8856i | 0.220117 | + | 1.95359i | ||||
\(439\) | 2.43442 | − | 10.6659i | 0.116188 | − | 0.509054i | −0.883022 | − | 0.469331i | \(-0.844495\pi\) |
0.999211 | − | 0.0397235i | \(-0.0126477\pi\) | |||||||
\(440\) | −7.53248 | − | 3.69954i | −0.359097 | − | 0.176369i | ||||
\(441\) | −13.5243 | − | 26.5795i | −0.644016 | − | 1.26569i | ||||
\(442\) | −7.54932 | − | 7.54932i | −0.359084 | − | 0.359084i | ||||
\(443\) | 5.43717 | + | 8.65320i | 0.258328 | + | 0.411126i | 0.950556 | − | 0.310552i | \(-0.100514\pi\) |
−0.692229 | + | 0.721678i | \(0.743371\pi\) | |||||||
\(444\) | 7.48106 | − | 9.38095i | 0.355035 | − | 0.445200i | ||||
\(445\) | 3.09688 | − | 25.6964i | 0.146806 | − | 1.21812i | ||||
\(446\) | 4.99176 | + | 3.98079i | 0.236367 | + | 0.188496i | ||||
\(447\) | 27.4611 | + | 3.09412i | 1.29887 | + | 0.146347i | ||||
\(448\) | −1.12180 | + | 2.39616i | −0.0529999 | + | 0.113208i | ||||
\(449\) | −27.4716 | − | 21.9078i | −1.29646 | − | 1.03389i | −0.996807 | − | 0.0798476i | \(-0.974557\pi\) |
−0.299656 | − | 0.954047i | \(-0.596872\pi\) | |||||||
\(450\) | 21.2022 | − | 2.05708i | 0.999480 | − | 0.0969716i | ||||
\(451\) | −11.2514 | + | 8.97266i | −0.529806 | + | 0.422506i | ||||
\(452\) | 10.7543 | − | 6.75736i | 0.505839 | − | 0.317840i | ||||
\(453\) | 14.5742 | + | 5.09974i | 0.684757 | + | 0.239607i | ||||
\(454\) | −0.440227 | + | 1.92876i | −0.0206609 | + | 0.0905212i | ||||
\(455\) | 6.73063 | − | 14.0915i | 0.315537 | − | 0.660622i | ||||
\(456\) | −2.59288 | − | 11.3602i | −0.121423 | − | 0.531988i | ||||
\(457\) | 2.98575 | − | 26.4992i | 0.139667 | − | 1.23958i | −0.706905 | − | 0.707308i | \(-0.749909\pi\) |
0.846573 | − | 0.532273i | \(-0.178662\pi\) | |||||||
\(458\) | 0.947518 | + | 0.331551i | 0.0442746 | + | 0.0154924i | ||||
\(459\) | − | 13.7354i | − | 0.641116i | ||||||
\(460\) | 5.27908 | − | 10.7485i | 0.246138 | − | 0.501152i | ||||
\(461\) | −10.0198 | − | 20.8062i | −0.466667 | − | 0.969043i | −0.992928 | − | 0.118720i | \(-0.962121\pi\) |
0.526261 | − | 0.850323i | \(-0.323593\pi\) | |||||||
\(462\) | −26.1478 | − | 5.66779i | −1.21651 | − | 0.263689i | ||||
\(463\) | 0.243834 | − | 0.0853214i | 0.0113319 | − | 0.00396522i | −0.324607 | − | 0.945849i | \(-0.605232\pi\) |
0.335939 | + | 0.941884i | \(0.390946\pi\) | |||||||
\(464\) | 3.31992 | − | 6.89388i | 0.154123 | − | 0.320040i | ||||
\(465\) | −3.25751 | + | 13.7796i | −0.151063 | + | 0.639011i | ||||
\(466\) | 3.91931 | + | 17.1716i | 0.181558 | + | 0.795459i | ||||
\(467\) | 20.9774 | − | 7.34032i | 0.970720 | − | 0.339669i | 0.202092 | − | 0.979366i | \(-0.435226\pi\) |
0.768627 | + | 0.639697i | \(0.220940\pi\) | |||||||
\(468\) | 3.71427 | + | 10.6148i | 0.171692 | + | 0.490668i | ||||
\(469\) | −15.8314 | + | 1.95943i | −0.731027 | + | 0.0904779i | ||||
\(470\) | 14.2496 | + | 14.4720i | 0.657287 | + | 0.667542i | ||||
\(471\) | −26.3249 | −1.21299 | ||||||||
\(472\) | 6.27336 | − | 6.27336i | 0.288755 | − | 0.288755i | ||||
\(473\) | 8.02541 | − | 22.9353i | 0.369009 | − | 1.05457i | ||||
\(474\) | 1.16180 | + | 1.45685i | 0.0533631 | + | 0.0669152i | ||||
\(475\) | −16.6943 | − | 13.7414i | −0.765988 | − | 0.630498i | ||||
\(476\) | 10.6200 | − | 1.31441i | 0.486765 | − | 0.0602460i | ||||
\(477\) | 8.03920 | − | 5.05137i | 0.368090 | − | 0.231286i | ||||
\(478\) | 3.39456 | − | 9.70109i | 0.155263 | − | 0.443717i | ||||
\(479\) | −1.62009 | + | 7.09806i | −0.0740236 | + | 0.324319i | −0.998359 | − | 0.0572620i | \(-0.981763\pi\) |
0.924336 | + | 0.381581i | \(0.124620\pi\) | |||||||
\(480\) | −5.07663 | − | 3.24493i | −0.231715 | − | 0.148110i | ||||
\(481\) | 11.4598 | − | 2.61561i | 0.522520 | − | 0.119262i | ||||
\(482\) | −2.65009 | − | 23.5202i | −0.120708 | − | 1.07131i | ||||
\(483\) | 8.08768 | − | 37.3118i | 0.368002 | − | 1.69774i | ||||
\(484\) | −2.41193 | + | 1.92345i | −0.109633 | + | 0.0874295i | ||||
\(485\) | −5.59441 | + | 2.64098i | −0.254029 | + | 0.119921i | ||||
\(486\) | 8.66483 | − | 17.9927i | 0.393045 | − | 0.816166i | ||||
\(487\) | 6.31696 | − | 0.711750i | 0.286249 | − | 0.0322525i | 0.0323273 | − | 0.999477i | \(-0.489708\pi\) |
0.253921 | + | 0.967225i | \(0.418280\pi\) | |||||||
\(488\) | 4.13391 | − | 2.59751i | 0.187133 | − | 0.117584i | ||||
\(489\) | 40.4111 | 1.82745 | ||||||||
\(490\) | 6.99014 | + | 14.0049i | 0.315782 | + | 0.632678i | ||||
\(491\) | −39.7602 | −1.79435 | −0.897176 | − | 0.441673i | \(-0.854385\pi\) | ||||
−0.897176 | + | 0.441673i | \(0.854385\pi\) | |||||||
\(492\) | −8.74852 | + | 5.49706i | −0.394414 | + | 0.247827i | ||||
\(493\) | −30.7531 | + | 3.46504i | −1.38505 | + | 0.156058i | ||||
\(494\) | 4.95284 | − | 10.2847i | 0.222839 | − | 0.462729i | ||||
\(495\) | 12.0692 | − | 33.6539i | 0.542469 | − | 1.51263i | ||||
\(496\) | 1.83735 | − | 1.46524i | 0.0824997 | − | 0.0657913i | ||||
\(497\) | −26.9740 | + | 13.3555i | −1.20995 | + | 0.599077i | ||||
\(498\) | −4.10194 | − | 36.4057i | −0.183812 | − | 1.63138i | ||||
\(499\) | 7.29625 | − | 1.66532i | 0.326625 | − | 0.0745500i | −0.0560643 | − | 0.998427i | \(-0.517855\pi\) |
0.382689 | + | 0.923877i | \(0.374998\pi\) | |||||||
\(500\) | −11.1361 | + | 0.993506i | −0.498022 | + | 0.0444309i | ||||
\(501\) | 9.80020 | − | 42.9375i | 0.437841 | − | 1.91831i | ||||
\(502\) | 4.22597 | − | 12.0771i | 0.188614 | − | 0.539029i | ||||
\(503\) | 5.81998 | − | 3.65693i | 0.259500 | − | 0.163055i | −0.395998 | − | 0.918251i | \(-0.629601\pi\) |
0.655498 | + | 0.755197i | \(0.272459\pi\) | |||||||
\(504\) | −10.6794 | − | 3.60621i | −0.475697 | − | 0.160633i | ||||
\(505\) | 19.1334 | + | 30.9803i | 0.851424 | + | 1.37861i | ||||
\(506\) | −12.5313 | − | 15.7137i | −0.557083 | − | 0.698561i | ||||
\(507\) | 5.36829 | − | 15.3417i | 0.238414 | − | 0.681348i | ||||
\(508\) | −2.91509 | + | 2.91509i | −0.129336 | + | 0.129336i | ||||
\(509\) | −2.22878 | −0.0987890 | −0.0493945 | − | 0.998779i | \(-0.515729\pi\) | ||||
−0.0493945 | + | 0.998779i | \(0.515729\pi\) | |||||||
\(510\) | −0.188619 | + | 24.3683i | −0.00835218 | + | 1.07905i | ||||
\(511\) | −13.7597 | − | 37.9845i | −0.608693 | − | 1.68034i | ||||
\(512\) | 0.330279 | + | 0.943883i | 0.0145964 | + | 0.0417141i | ||||
\(513\) | 13.8618 | − | 4.85045i | 0.612013 | − | 0.214153i | ||||
\(514\) | 1.63552 | + | 7.16568i | 0.0721397 | + | 0.316065i | ||||
\(515\) | 38.4943 | + | 9.10012i | 1.69626 | + | 0.400999i | ||||
\(516\) | 7.56938 | − | 15.7180i | 0.333223 | − | 0.691945i | ||||
\(517\) | 32.1750 | − | 11.2585i | 1.41505 | − | 0.495149i | ||||
\(518\) | −4.99539 | + | 10.6701i | −0.219485 | + | 0.468819i | ||||
\(519\) | −2.37427 | − | 4.93022i | −0.104219 | − | 0.216413i | ||||
\(520\) | −1.90628 | − | 5.58615i | −0.0835958 | − | 0.244969i | ||||
\(521\) | 9.37107i | 0.410554i | 0.978704 | + | 0.205277i | \(0.0658096\pi\) | ||||
−0.978704 | + | 0.205277i | \(0.934190\pi\) | |||||||
\(522\) | 30.7692 | + | 10.7666i | 1.34673 | + | 0.471242i | ||||
\(523\) | 3.51943 | − | 31.2358i | 0.153894 | − | 1.36584i | −0.644913 | − | 0.764256i | \(-0.723106\pi\) |
0.798806 | − | 0.601588i | \(-0.205465\pi\) | |||||||
\(524\) | −1.60210 | − | 7.01926i | −0.0699881 | − | 0.306638i | ||||
\(525\) | −33.6977 | + | 11.6200i | −1.47069 | + | 0.507137i | ||||
\(526\) | −5.86503 | + | 25.6964i | −0.255728 | + | 1.12042i | ||||
\(527\) | −8.97167 | − | 3.13932i | −0.390812 | − | 0.136751i | ||||
\(528\) | −8.56246 | + | 5.38015i | −0.372633 | + | 0.234141i | ||||
\(529\) | 4.44066 | − | 3.54131i | 0.193072 | − | 0.153970i | ||||
\(530\) | −4.23982 | + | 2.61850i | −0.184166 | + | 0.113740i | ||||
\(531\) | 29.5511 | + | 23.5662i | 1.28241 | + | 1.02269i | ||||
\(532\) | 5.07677 | + | 10.2535i | 0.220106 | + | 0.444545i | ||||
\(533\) | −10.0582 | − | 1.13329i | −0.435671 | − | 0.0490883i | ||||
\(534\) | −24.3843 | − | 19.4458i | −1.05521 | − | 0.841502i | ||||
\(535\) | −24.8355 | + | 19.4931i | −1.07373 | + | 0.842760i | ||||
\(536\) | −3.75925 | + | 4.71395i | −0.162375 | + | 0.203612i | ||||
\(537\) | 16.0572 | + | 25.5549i | 0.692920 | + | 1.10278i | ||||
\(538\) | −2.58851 | − | 2.58851i | −0.111598 | − | 0.111598i | ||||
\(539\) | 26.2647 | − | 0.574877i | 1.13130 | − | 0.0247617i | ||||
\(540\) | 3.34763 | − | 6.81597i | 0.144059 | − | 0.293313i | ||||
\(541\) | 7.05562 | − | 30.9127i | 0.303345 | − | 1.32904i | −0.561698 | − | 0.827342i | \(-0.689852\pi\) |
0.865043 | − | 0.501698i | \(-0.167291\pi\) | |||||||
\(542\) | 2.42930 | + | 21.5606i | 0.104347 | + | 0.926107i | ||||
\(543\) | −6.49850 | + | 2.27392i | −0.278877 | + | 0.0975834i | ||||
\(544\) | 2.52176 | − | 3.16219i | 0.108120 | − | 0.135578i | ||||
\(545\) | 17.1707 | + | 10.9754i | 0.735513 | + | 0.470133i | ||||
\(546\) | −10.1856 | − | 15.8232i | −0.435902 | − | 0.677171i | ||||
\(547\) | 0.331516 | − | 0.0373529i | 0.0141746 | − | 0.00159710i | −0.104874 | − | 0.994485i | \(-0.533444\pi\) |
0.119049 | + | 0.992888i | \(0.462015\pi\) | |||||||
\(548\) | 5.69653 | + | 3.57937i | 0.243344 | + | 0.152903i | ||||
\(549\) | 12.9686 | + | 16.2621i | 0.553486 | + | 0.694050i | ||||
\(550\) | −6.47111 | + | 17.6139i | −0.275929 | + | 0.751059i | ||||
\(551\) | −14.3569 | − | 29.8124i | −0.611624 | − | 1.27005i | ||||
\(552\) | −7.67723 | − | 12.2182i | −0.326765 | − | 0.520043i | ||||
\(553\) | −1.44289 | − | 1.12506i | −0.0613577 | − | 0.0478423i | ||||
\(554\) | 2.01272 | − | 0.459390i | 0.0855122 | − | 0.0195176i | ||||
\(555\) | −22.6063 | − | 14.4498i | −0.959586 | − | 0.613358i | ||||
\(556\) | 7.00211 | + | 14.5400i | 0.296955 | + | 0.616634i | ||||
\(557\) | 24.0633 | + | 24.0633i | 1.01960 | + | 1.01960i | 0.999804 | + | 0.0197919i | \(0.00630036\pi\) |
0.0197919 | + | 0.999804i | \(0.493700\pi\) | |||||||
\(558\) | 7.07961 | + | 7.07961i | 0.299704 | + | 0.299704i | ||||
\(559\) | 15.3981 | − | 7.41531i | 0.651268 | − | 0.313634i | ||||
\(560\) | 5.59032 | + | 1.93607i | 0.236234 | + | 0.0818138i | ||||
\(561\) | 36.8503 | + | 17.7462i | 1.55582 | + | 0.749244i | ||||
\(562\) | 7.42759 | + | 21.2268i | 0.313314 | + | 0.895400i | ||||
\(563\) | −20.2841 | + | 32.2819i | −0.854871 | + | 1.36052i | 0.0767353 | + | 0.997052i | \(0.475550\pi\) |
−0.931607 | + | 0.363468i | \(0.881592\pi\) | |||||||
\(564\) | 23.8601 | − | 5.44592i | 1.00469 | − | 0.229315i | ||||
\(565\) | −17.5350 | − | 22.3407i | −0.737702 | − | 0.939881i | ||||
\(566\) | 13.7391 | − | 28.5294i | 0.577496 | − | 1.19918i | ||||
\(567\) | −2.03481 | + | 9.38740i | −0.0854539 | + | 0.394234i | ||||
\(568\) | −3.75740 | + | 10.7380i | −0.157657 | + | 0.450558i | ||||
\(569\) | − | 34.1356i | − | 1.43104i | −0.698594 | − | 0.715518i | \(-0.746191\pi\) | ||
0.698594 | − | 0.715518i | \(-0.253809\pi\) | |||||||
\(570\) | −24.6591 | + | 8.41492i | −1.03285 | + | 0.352462i | ||||
\(571\) | −19.0256 | + | 9.16225i | −0.796197 | + | 0.383428i | −0.787330 | − | 0.616532i | \(-0.788537\pi\) |
−0.00886765 | + | 0.999961i | \(0.502823\pi\) | |||||||
\(572\) | −9.84433 | − | 1.10919i | −0.411612 | − | 0.0463776i | ||||
\(573\) | −38.7126 | + | 61.6108i | −1.61724 | + | 2.57383i | ||||
\(574\) | 7.09485 | − | 7.25184i | 0.296133 | − | 0.302686i | ||||
\(575\) | −25.1342 | − | 9.23398i | −1.04817 | − | 0.385084i | ||||
\(576\) | −3.83844 | + | 1.84849i | −0.159935 | + | 0.0770206i | ||||
\(577\) | 11.0466 | + | 17.5805i | 0.459875 | + | 0.731886i | 0.993500 | − | 0.113835i | \(-0.0363135\pi\) |
−0.533625 | + | 0.845721i | \(0.679171\pi\) | |||||||
\(578\) | 0.637230 | + | 0.0717986i | 0.0265053 | + | 0.00298643i | ||||
\(579\) | −7.80473 | − | 34.1948i | −0.324354 | − | 1.42109i | ||||
\(580\) | −16.1052 | − | 5.77576i | −0.668732 | − | 0.239825i | ||||
\(581\) | 12.2520 | + | 33.8225i | 0.508299 | + | 1.40319i | ||||
\(582\) | −0.834671 | + | 7.40791i | −0.0345982 | + | 0.307068i | ||||
\(583\) | 0.936450 | + | 8.31122i | 0.0387838 | + | 0.344216i | ||||
\(584\) | −13.7575 | − | 6.62529i | −0.569291 | − | 0.274156i | ||||
\(585\) | 22.7400 | − | 10.7350i | 0.940182 | − | 0.443836i | ||||
\(586\) | −22.2092 | − | 5.06910i | −0.917453 | − | 0.209403i | ||||
\(587\) | −22.8110 | + | 22.8110i | −0.941510 | + | 0.941510i | −0.998381 | − | 0.0568717i | \(-0.981887\pi\) |
0.0568717 | + | 0.998381i | \(0.481887\pi\) | |||||||
\(588\) | 18.7846 | + | 1.70117i | 0.774666 | + | 0.0701551i | ||||
\(589\) | − | 10.1628i | − | 0.418751i | ||||||
\(590\) | −15.4139 | − | 12.4885i | −0.634579 | − | 0.514145i | ||||
\(591\) | −4.90074 | − | 3.90821i | −0.201590 | − | 0.160762i | ||||
\(592\) | 1.47074 | + | 4.20314i | 0.0604471 | + | 0.172748i | ||||
\(593\) | −16.2721 | + | 1.83342i | −0.668215 | + | 0.0752897i | −0.439554 | − | 0.898216i | \(-0.644863\pi\) |
−0.228661 | + | 0.973506i | \(0.573435\pi\) | |||||||
\(594\) | −7.94649 | − | 9.96458i | −0.326048 | − | 0.408852i | ||||
\(595\) | −5.39918 | − | 23.3110i | −0.221345 | − | 0.955660i | ||||
\(596\) | −6.39452 | + | 8.01848i | −0.261930 | + | 0.328450i | ||||
\(597\) | −38.2687 | + | 60.9044i | −1.56624 | + | 2.49265i | ||||
\(598\) | 1.58276 | − | 14.0474i | 0.0647240 | − | 0.574442i | ||||
\(599\) | 21.3748 | + | 4.87866i | 0.873351 | + | 0.199337i | 0.635627 | − | 0.771996i | \(-0.280742\pi\) |
0.237724 | + | 0.971333i | \(0.423599\pi\) | |||||||
\(600\) | −6.03270 | + | 12.0464i | −0.246284 | + | 0.491791i | ||||
\(601\) | 23.6148 | + | 5.38993i | 0.963270 | + | 0.219860i | 0.675106 | − | 0.737721i | \(-0.264098\pi\) |
0.288164 | + | 0.957581i | \(0.406955\pi\) | |||||||
\(602\) | −3.62882 | + | 16.7412i | −0.147900 | + | 0.682321i | ||||
\(603\) | −21.7500 | − | 13.6664i | −0.885728 | − | 0.556540i | ||||
\(604\) | −4.48025 | + | 3.57288i | −0.182299 | + | 0.145378i | ||||
\(605\) | 4.83987 | + | 4.91538i | 0.196769 | + | 0.199839i | ||||
\(606\) | 43.8776 | 1.78241 | ||||||||
\(607\) | −0.639110 | + | 0.639110i | −0.0259407 | + | 0.0259407i | −0.719958 | − | 0.694017i | \(-0.755839\pi\) |
0.694017 | + | 0.719958i | \(0.255839\pi\) | |||||||
\(608\) | 4.08180 | + | 1.42828i | 0.165539 | + | 0.0579245i | ||||
\(609\) | −54.2689 | − | 5.51400i | −2.19909 | − | 0.223438i | ||||
\(610\) | −6.74038 | − | 8.58769i | −0.272910 | − | 0.347706i | ||||
\(611\) | 21.6013 | + | 10.4026i | 0.873894 | + | 0.420845i | ||||
\(612\) | 14.5902 | + | 9.16764i | 0.589774 | + | 0.370580i | ||||
\(613\) | 36.8723 | + | 23.1684i | 1.48926 | + | 0.935764i | 0.997898 | + | 0.0648078i | \(0.0206434\pi\) |
0.491361 | + | 0.870956i | \(0.336499\pi\) | |||||||
\(614\) | 11.1006 | + | 5.34576i | 0.447983 | + | 0.215737i | ||||
\(615\) | 14.2645 | + | 18.1740i | 0.575202 | + | 0.732846i | ||||
\(616\) | 6.94396 | − | 7.09762i | 0.279780 | − | 0.285971i | ||||
\(617\) | 11.5095 | + | 4.02736i | 0.463357 | + | 0.162136i | 0.551854 | − | 0.833941i | \(-0.313921\pi\) |
−0.0884971 | + | 0.996076i | \(0.528206\pi\) | |||||||
\(618\) | 33.7042 | − | 33.7042i | 1.35578 | − | 1.35578i | ||||
\(619\) | −25.6986 | −1.03291 | −0.516457 | − | 0.856313i | \(-0.672749\pi\) | ||||
−0.516457 | + | 0.856313i | \(0.672749\pi\) | |||||||
\(620\) | −3.68691 | − | 3.74443i | −0.148070 | − | 0.150380i | ||||
\(621\) | 14.2190 | − | 11.3393i | 0.570589 | − | 0.455029i | ||||
\(622\) | −1.02117 | − | 0.641644i | −0.0409452 | − | 0.0257276i | ||||
\(623\) | 27.7353 | + | 12.9847i | 1.11119 | + | 0.520221i | ||||
\(624\) | −6.93424 | − | 1.58269i | −0.277592 | − | 0.0633585i | ||||
\(625\) | 4.80587 | + | 24.5337i | 0.192235 | + | 0.981349i | ||||
\(626\) | −16.9233 | − | 3.86263i | −0.676391 | − | 0.154382i | ||||
\(627\) | −4.89632 | + | 43.4561i | −0.195540 | + | 1.73547i | ||||
\(628\) | 5.19787 | − | 8.27236i | 0.207417 | − | 0.330103i | ||||
\(629\) | 11.2295 | − | 14.0813i | 0.447748 | − | 0.561459i | ||||
\(630\) | −5.52983 | + | 24.5904i | −0.220314 | + | 0.979707i | ||||
\(631\) | 17.8165 | + | 22.3412i | 0.709264 | + | 0.889389i | 0.997677 | − | 0.0681172i | \(-0.0216992\pi\) |
−0.288413 | + | 0.957506i | \(0.593128\pi\) | |||||||
\(632\) | −0.687200 | + | 0.0774288i | −0.0273353 | + | 0.00307995i | ||||
\(633\) | −8.57731 | − | 24.5125i | −0.340917 | − | 0.974286i | ||||
\(634\) | 11.8242 | + | 9.42945i | 0.469597 | + | 0.374491i | ||||
\(635\) | 7.16247 | + | 5.80314i | 0.284234 | + | 0.230291i | ||||
\(636\) | 6.00489i | 0.238109i | ||||||||
\(637\) | 13.3484 | + | 12.7766i | 0.528884 | + | 0.506227i | ||||
\(638\) | −20.3056 | + | 20.3056i | −0.803908 | + | 0.803908i | ||||
\(639\) | −47.2524 | − | 10.7851i | −1.86928 | − | 0.426650i | ||||
\(640\) | 2.02208 | − | 0.954571i | 0.0799296 | − | 0.0377327i | ||||
\(641\) | −1.11632 | − | 0.537591i | −0.0440920 | − | 0.0212336i | 0.411708 | − | 0.911316i | \(-0.364932\pi\) |
−0.455800 | + | 0.890082i | \(0.650647\pi\) | |||||||
\(642\) | 4.25965 | + | 37.8055i | 0.168115 | + | 1.49206i | ||||
\(643\) | −0.412217 | + | 3.65852i | −0.0162562 | + | 0.144278i | −0.999218 | − | 0.0395300i | \(-0.987414\pi\) |
0.982962 | + | 0.183808i | \(0.0588425\pi\) | |||||||
\(644\) | 10.1280 | + | 9.90872i | 0.399098 | + | 0.390458i | ||||
\(645\) | −36.7197 | − | 13.1687i | −1.44584 | − | 0.518516i | ||||
\(646\) | −3.89205 | − | 17.0522i | −0.153131 | − | 0.670910i | ||||
\(647\) | −18.6949 | − | 2.10641i | −0.734973 | − | 0.0828116i | −0.263460 | − | 0.964670i | \(-0.584864\pi\) |
−0.471513 | + | 0.881859i | \(0.656292\pi\) | |||||||
\(648\) | 1.93154 | + | 3.07403i | 0.0758781 | + | 0.120759i | ||||
\(649\) | −29.9987 | + | 14.4466i | −1.17755 | + | 0.567080i | ||||
\(650\) | −11.9785 | + | 5.54176i | −0.469834 | + | 0.217366i | ||||
\(651\) | −14.2823 | − | 8.75769i | −0.559769 | − | 0.343241i | ||||
\(652\) | −7.97922 | + | 12.6989i | −0.312490 | + | 0.497325i | ||||
\(653\) | 36.8570 | + | 4.15278i | 1.44233 | + | 0.162511i | 0.798192 | − | 0.602403i | \(-0.205790\pi\) |
0.644133 | + | 0.764914i | \(0.277218\pi\) | |||||||
\(654\) | 22.1249 | − | 10.6548i | 0.865151 | − | 0.416635i | ||||
\(655\) | −15.2365 | + | 5.19945i | −0.595338 | + | 0.203159i | ||||
\(656\) | − | 3.83455i | − | 0.149714i | ||||||
\(657\) | 21.4861 | − | 61.4037i | 0.838252 | − | 2.39559i | ||||
\(658\) | −21.5357 | + | 10.6629i | −0.839551 | + | 0.415684i | ||||
\(659\) | −3.71408 | + | 7.71236i | −0.144680 | + | 0.300431i | −0.960698 | − | 0.277595i | \(-0.910463\pi\) |
0.816018 | + | 0.578026i | \(0.196177\pi\) | |||||||
\(660\) | 13.9612 | + | 17.7875i | 0.543438 | + | 0.692377i | ||||
\(661\) | 24.8229 | − | 5.66566i | 0.965498 | − | 0.220369i | 0.289423 | − | 0.957201i | \(-0.406537\pi\) |
0.676075 | + | 0.736833i | \(0.263679\pi\) | |||||||
\(662\) | 13.5661 | − | 21.5903i | 0.527260 | − | 0.839129i | ||||
\(663\) | 9.50128 | + | 27.1531i | 0.368999 | + | 1.05454i | ||||
\(664\) | 12.2501 | + | 5.89934i | 0.475396 | + | 0.228939i | ||||
\(665\) | 21.6188 | − | 13.6808i | 0.838342 | − | 0.530517i | ||||
\(666\) | −17.0927 | + | 8.23139i | −0.662327 | + | 0.318960i | ||||
\(667\) | −28.9752 | − | 28.9752i | −1.12193 | − | 1.12193i | ||||
\(668\) | 11.5577 | + | 11.5577i | 0.447180 | + | 0.447180i | ||||
\(669\) | −7.46436 | − | 15.4999i | −0.288589 | − | 0.599260i | ||||
\(670\) | 11.3598 | + | 7.26105i | 0.438865 | + | 0.280519i | ||||
\(671\) | −17.8636 | + | 4.07725i | −0.689617 | + | 0.157401i | ||||
\(672\) | 5.52469 | − | 4.50557i | 0.213120 | − | 0.173806i | ||||
\(673\) | 24.4890 | + | 38.9741i | 0.943982 | + | 1.50234i | 0.862742 | + | 0.505645i | \(0.168745\pi\) |
0.0812407 | + | 0.996695i | \(0.474112\pi\) | |||||||
\(674\) | −12.5350 | − | 26.0291i | −0.482829 | − | 1.00260i | ||||
\(675\) | −15.9384 | − | 5.85556i | −0.613470 | − | 0.225381i | ||||
\(676\) | 3.76102 | + | 4.71617i | 0.144655 | + | 0.181391i | ||||
\(677\) | −32.8408 | − | 20.6352i | −1.26217 | − | 0.793076i | −0.276381 | − | 0.961048i | \(-0.589135\pi\) |
−0.985792 | + | 0.167972i | \(0.946278\pi\) | |||||||
\(678\) | −34.0078 | + | 3.83176i | −1.30606 | + | 0.147158i | ||||
\(679\) | −0.899111 | − | 7.26448i | −0.0345047 | − | 0.278785i | ||||
\(680\) | −7.62029 | − | 4.87082i | −0.292225 | − | 0.186787i | ||||
\(681\) | 3.32364 | − | 4.16771i | 0.127362 | − | 0.159707i | ||||
\(682\) | −8.32485 | + | 2.91299i | −0.318775 | + | 0.111544i | ||||
\(683\) | −2.29995 | − | 20.4127i | −0.0880053 | − | 0.781069i | −0.957757 | − | 0.287579i | \(-0.907150\pi\) |
0.869752 | − | 0.493490i | \(-0.164279\pi\) | |||||||
\(684\) | −4.09967 | + | 17.9618i | −0.156755 | + | 0.686787i | ||||
\(685\) | 6.63191 | − | 13.5029i | 0.253392 | − | 0.515921i | ||||
\(686\) | −18.3258 | + | 2.67652i | −0.699684 | + | 0.102190i | ||||
\(687\) | −1.91264 | − | 1.91264i | −0.0729717 | − | 0.0729717i | ||||
\(688\) | 3.44466 | + | 5.48214i | 0.131326 | + | 0.209005i | ||||
\(689\) | −3.66778 | + | 4.59925i | −0.139731 | + | 0.175218i | ||||
\(690\) | −25.3819 | + | 19.9220i | −0.966273 | + | 0.758416i | ||||
\(691\) | 0.0654276 | + | 0.0521767i | 0.00248898 | + | 0.00198490i | 0.624734 | − | 0.780838i | \(-0.285208\pi\) |
−0.622245 | + | 0.782823i | \(0.713779\pi\) | |||||||
\(692\) | 2.01808 | + | 0.227383i | 0.0767159 | + | 0.00864381i | ||||
\(693\) | 33.3605 | + | 26.0121i | 1.26726 | + | 0.988116i | ||||
\(694\) | 17.7277 | + | 14.1373i | 0.672933 | + | 0.536646i | ||||
\(695\) | 30.7027 | − | 18.9619i | 1.16462 | − | 0.719266i | ||||
\(696\) | −16.1193 | + | 12.8547i | −0.610999 | + | 0.487256i | ||||
\(697\) | −13.1320 | + | 8.25138i | −0.497410 | + | 0.312543i | ||||
\(698\) | −3.90384 | − | 1.36601i | −0.147762 | − | 0.0517043i | ||||
\(699\) | 10.5606 | − | 46.2689i | 0.399438 | − | 1.75005i | ||||
\(700\) | 3.00217 | − | 12.8836i | 0.113472 | − | 0.486954i | ||||
\(701\) | −9.97059 | − | 43.6840i | −0.376584 | − | 1.64992i | −0.707834 | − | 0.706379i | \(-0.750327\pi\) |
0.331250 | − | 0.943543i | \(-0.392530\pi\) | |||||||
\(702\) | 1.00368 | − | 8.90792i | 0.0378815 | − | 0.336208i | ||||
\(703\) | 18.1763 | + | 6.36018i | 0.685534 | + | 0.239879i | ||||
\(704\) | − | 3.75300i | − | 0.141446i | ||||||
\(705\) | −17.6742 | − | 51.7923i | −0.665647 | − | 1.95061i | ||||
\(706\) | 2.79869 | + | 5.81154i | 0.105330 | + | 0.218720i | ||||
\(707\) | −41.8962 | + | 10.0461i | −1.57567 | + | 0.377821i | ||||
\(708\) | −22.5638 | + | 7.89542i | −0.848000 | + | 0.296728i | ||||
\(709\) | −9.46646 | + | 19.6573i | −0.355520 | + | 0.738245i | −0.999644 | − | 0.0266758i | \(-0.991508\pi\) |
0.644124 | + | 0.764921i | \(0.277222\pi\) | |||||||
\(710\) | 24.7562 | + | 5.85239i | 0.929082 | + | 0.219636i | ||||
\(711\) | −0.655598 | − | 2.87236i | −0.0245869 | − | 0.107722i | ||||
\(712\) | 10.9254 | − | 3.82295i | 0.409446 | − | 0.143271i | ||||
\(713\) | −4.15670 | − | 11.8792i | −0.155670 | − | 0.444879i | ||||
\(714\) | −27.3184 | − | 9.22485i | −1.02236 | − | 0.345231i | ||||
\(715\) | −0.171458 | + | 22.1512i | −0.00641216 | + | 0.828409i | ||||
\(716\) | −11.2009 | −0.418598 | ||||||||
\(717\) | −19.5824 | + | 19.5824i | −0.731318 | + | 0.731318i | ||||
\(718\) | −5.46868 | + | 15.6286i | −0.204089 | + | 0.583254i | ||||
\(719\) | 2.55725 | + | 3.20669i | 0.0953693 | + | 0.119589i | 0.827226 | − | 0.561869i | \(-0.189917\pi\) |
−0.731857 | + | 0.681458i | \(0.761346\pi\) | |||||||
\(720\) | 5.00578 | + | 8.10524i | 0.186554 | + | 0.302064i | ||||
\(721\) | −24.4653 | + | 39.8989i | −0.911137 | + | 1.48591i | ||||
\(722\) | −0.253119 | + | 0.159045i | −0.00942011 | + | 0.00591905i | ||||
\(723\) | −21.0639 | + | 60.1972i | −0.783376 | + | 2.23876i | ||||
\(724\) | 0.568574 | − | 2.49109i | 0.0211309 | − | 0.0925805i | ||||
\(725\) | −9.08959 | + | 37.1627i | −0.337579 | + | 1.38019i | ||||
\(726\) | 8.10406 | − | 1.84970i | 0.300770 | − | 0.0686487i | ||||
\(727\) | −0.434787 | − | 3.85884i | −0.0161254 | − | 0.143117i | 0.983070 | − | 0.183232i | \(-0.0586560\pi\) |
−0.999195 | + | 0.0401155i | \(0.987227\pi\) | |||||||
\(728\) | 6.98346 | − | 0.0764173i | 0.258824 | − | 0.00283221i | ||||
\(729\) | −33.5553 | + | 26.7594i | −1.24279 | + | 0.991090i | ||||
\(730\) | −11.5262 | + | 32.1398i | −0.426604 | + | 1.18955i | ||||
\(731\) | 11.3620 | − | 23.5935i | 0.420240 | − | 0.872638i | ||||
\(732\) | −13.0725 | + | 1.47292i | −0.483173 | + | 0.0544405i | ||||
\(733\) | 9.26228 | − | 5.81987i | 0.342110 | − | 0.214962i | −0.350007 | − | 0.936747i | \(-0.613821\pi\) |
0.692117 | + | 0.721785i | \(0.256678\pi\) | |||||||
\(734\) | 26.3363 | 0.972089 | ||||||||
\(735\) | −0.596520 | − | 42.1714i | −0.0220030 | − | 1.55552i | ||||
\(736\) | 5.35535 | 0.197401 | ||||||||
\(737\) | 19.1599 | − | 12.0389i | 0.705762 | − | 0.443460i | ||||
\(738\) | 16.2338 | − | 1.82911i | 0.597573 | − | 0.0673303i | ||||
\(739\) | −10.6414 | + | 22.0971i | −0.391450 | + | 0.812854i | 0.608366 | + | 0.793657i | \(0.291825\pi\) |
−0.999816 | + | 0.0191971i | \(0.993889\pi\) | |||||||
\(740\) | 9.00436 | − | 4.25073i | 0.331007 | − | 0.156260i | ||||
\(741\) | −24.0476 | + | 19.1774i | −0.883412 | + | 0.704498i | ||||
\(742\) | −1.37486 | − | 5.73371i | −0.0504726 | − | 0.210491i | ||||
\(743\) | 3.44698 | + | 30.5928i | 0.126457 | + | 1.12234i | 0.883321 | + | 0.468768i | \(0.155302\pi\) |
−0.756864 | + | 0.653573i | \(0.773269\pi\) | |||||||
\(744\) | −6.17349 | + | 1.40906i | −0.226331 | + | 0.0516586i | ||||
\(745\) | 19.3230 | + | 12.3511i | 0.707941 | + | 0.452509i | ||||
\(746\) | 0.591333 | − | 2.59080i | 0.0216502 | − | 0.0948559i | ||||
\(747\) | −19.1318 | + | 54.6755i | −0.699996 | + | 2.00047i | ||||
\(748\) | −12.8527 | + | 8.07590i | −0.469942 | + | 0.295284i | ||||
\(749\) | −12.7231 | − | 35.1229i | −0.464892 | − | 1.28336i | ||||
\(750\) | 28.1962 | + | 10.6073i | 1.02958 | + | 0.387325i | ||||
\(751\) | 7.16035 | + | 8.97879i | 0.261285 | + | 0.327641i | 0.895118 | − | 0.445829i | \(-0.147091\pi\) |
−0.633833 | + | 0.773470i | \(0.718520\pi\) | |||||||
\(752\) | −2.99987 | + | 8.57314i | −0.109394 | + | 0.312630i | ||||
\(753\) | −24.3786 | + | 24.3786i | −0.888406 | + | 0.888406i | ||||
\(754\) | −20.1977 | −0.735556 | ||||||||
\(755\) | 8.99023 | + | 9.13050i | 0.327188 | + | 0.332293i | ||||
\(756\) | 6.42247 | + | 6.28344i | 0.233583 | + | 0.228526i | ||||
\(757\) | 2.20799 | + | 6.31007i | 0.0802507 | + | 0.229343i | 0.977017 | − | 0.213161i | \(-0.0683759\pi\) |
−0.896766 | + | 0.442504i | \(0.854090\pi\) | |||||||
\(758\) | 3.81820 | − | 1.33605i | 0.138683 | − | 0.0485274i | ||||
\(759\) | 12.0508 | + | 52.7980i | 0.437416 | + | 1.91645i | ||||
\(760\) | 2.22464 | − | 9.41043i | 0.0806962 | − | 0.341352i | ||||
\(761\) | −4.42696 | + | 9.19268i | −0.160477 | + | 0.333234i | −0.965667 | − | 0.259783i | \(-0.916349\pi\) |
0.805190 | + | 0.593017i | \(0.202063\pi\) | |||||||
\(762\) | 10.4849 | − | 3.66882i | 0.379827 | − | 0.132907i | ||||
\(763\) | −18.6862 | + | 15.2392i | −0.676487 | + | 0.551698i | ||||
\(764\) | −11.7168 | − | 24.3302i | −0.423899 | − | 0.880236i | ||||
\(765\) | 16.9860 | − | 34.5843i | 0.614128 | − | 1.25040i | ||||
\(766\) | 18.2983i | 0.661146i | ||||||||
\(767\) | −22.1045 | − | 7.73471i | −0.798148 | − | 0.279284i | ||||
\(768\) | 0.301689 | − | 2.67756i | 0.0108862 | − | 0.0966181i | ||||
\(769\) | 7.43919 | + | 32.5932i | 0.268264 | + | 1.17534i | 0.912032 | + | 0.410120i | \(0.134513\pi\) |
−0.643768 | + | 0.765221i | \(0.722630\pi\) | |||||||
\(770\) | −17.4033 | − | 13.7877i | −0.627170 | − | 0.496874i | ||||
\(771\) | 4.40691 | − | 19.3079i | 0.158711 | − | 0.695359i | ||||
\(772\) | 12.2865 | + | 4.29922i | 0.442199 | + | 0.154732i | ||||
\(773\) | −17.1780 | + | 10.7937i | −0.617851 | + | 0.388221i | −0.804283 | − | 0.594246i | \(-0.797450\pi\) |
0.186432 | + | 0.982468i | \(0.440308\pi\) | |||||||
\(774\) | −21.5658 | + | 17.1982i | −0.775168 | + | 0.618176i | ||||
\(775\) | −7.46754 | + | 9.07227i | −0.268242 | + | 0.325885i | ||||
\(776\) | −2.16307 | − | 1.72499i | −0.0776495 | − | 0.0619234i | ||||
\(777\) | 24.6016 | − | 20.0634i | 0.882578 | − | 0.719771i | ||||
\(778\) | −9.07935 | − | 1.02300i | −0.325510 | − | 0.0366762i | ||||
\(779\) | −12.9646 | − | 10.3389i | −0.464506 | − | 0.370431i | ||||
\(780\) | −1.90298 | + | 15.7899i | −0.0681375 | + | 0.565370i | ||||
\(781\) | 26.6204 | − | 33.3809i | 0.952552 | − | 1.19446i | ||||
\(782\) | −11.5239 | − | 18.3402i | −0.412095 | − | 0.655846i | ||||
\(783\) | −18.3741 | − | 18.3741i | −0.656637 | − | 0.656637i | ||||
\(784\) | −4.24362 | + | 5.56701i | −0.151558 | + | 0.198822i | ||||
\(785\) | −19.6086 | − | 9.63069i | −0.699862 | − | 0.343734i | ||||
\(786\) | −4.31687 | + | 18.9134i | −0.153978 | + | 0.674620i | ||||
\(787\) | −3.72136 | − | 33.0280i | −0.132652 | − | 1.17732i | −0.866915 | − | 0.498456i | \(-0.833901\pi\) |
0.734263 | − | 0.678865i | \(-0.237528\pi\) | |||||||
\(788\) | 2.19578 | − | 0.768336i | 0.0782214 | − | 0.0273708i | ||||
\(789\) | 44.2800 | − | 55.5253i | 1.57641 | − | 1.97675i | ||||
\(790\) | 0.332416 | + | 1.51020i | 0.0118268 | + | 0.0537304i | ||||
\(791\) | 31.5947 | − | 11.4450i | 1.12338 | − | 0.406938i | ||||
\(792\) | 15.8885 | − | 1.79021i | 0.564574 | − | 0.0636122i | ||||
\(793\) | −10.9121 | − | 6.85653i | −0.387500 | − | 0.243483i | ||||
\(794\) | 20.0071 | + | 25.0880i | 0.710024 | + | 0.890342i | ||||
\(795\) | 13.3541 | − | 1.40006i | 0.473623 | − | 0.0496552i | ||||
\(796\) | −11.5825 | − | 24.0512i | −0.410530 | − | 0.852474i | ||||
\(797\) | −15.0742 | − | 23.9904i | −0.533954 | − | 0.849783i | 0.465423 | − | 0.885089i | \(-0.345902\pi\) |
−0.999377 | + | 0.0353056i | \(0.988760\pi\) | |||||||
\(798\) | −0.337331 | − | 30.8272i | −0.0119414 | − | 1.09127i | ||||
\(799\) | 35.8153 | − | 8.17462i | 1.26706 | − | 0.289197i | ||||
\(800\) | −2.59431 | − | 4.27429i | −0.0917226 | − | 0.151119i | ||||
\(801\) | 21.3962 | + | 44.4296i | 0.755996 | + | 1.56984i | ||||
\(802\) | 9.45238 | + | 9.45238i | 0.333775 | + | 0.333775i | ||||
\(803\) | 40.5223 | + | 40.5223i | 1.43000 | + | 1.43000i | ||||
\(804\) | 14.6373 | − | 7.04895i | 0.516217 | − | 0.248597i | ||||
\(805\) | 19.6744 | − | 24.8337i | 0.693432 | − | 0.875271i | ||||
\(806\) | −5.58904 | − | 2.69154i | −0.196866 | − | 0.0948055i | ||||
\(807\) | 3.25780 | + | 9.31024i | 0.114680 | + | 0.327736i | ||||
\(808\) | −8.66368 | + | 13.7882i | −0.304787 | + | 0.485066i | ||||
\(809\) | −54.9676 | + | 12.5460i | −1.93256 | + | 0.441094i | −0.936705 | + | 0.350120i | \(0.886141\pi\) |
−0.995853 | + | 0.0909735i | \(0.971002\pi\) | |||||||
\(810\) | 6.38593 | − | 5.01224i | 0.224379 | − | 0.176112i | ||||
\(811\) | −15.8218 | + | 32.8542i | −0.555578 | + | 1.15367i | 0.414315 | + | 0.910134i | \(0.364021\pi\) |
−0.969892 | + | 0.243535i | \(0.921693\pi\) | |||||||
\(812\) | 12.4482 | − | 15.9648i | 0.436845 | − | 0.560254i | ||||
\(813\) | 19.3090 | − | 55.1819i | 0.677196 | − | 1.93532i | ||||
\(814\) | − | 16.7122i | − | 0.585762i | ||||||
\(815\) | 30.1011 | + | 14.7840i | 1.05440 | + | 0.517862i | ||||
\(816\) | −9.81891 | + | 4.72854i | −0.343731 | + | 0.165532i | ||||
\(817\) | 27.8229 | + | 3.13489i | 0.973399 | + | 0.109676i | ||||
\(818\) | 5.76925 | − | 9.18170i | 0.201717 | − | 0.321031i | ||||
\(819\) | 3.65468 | + | 29.5284i | 0.127705 | + | 1.03181i | ||||
\(820\) | −8.52757 | + | 0.894040i | −0.297796 | + | 0.0312212i | ||||
\(821\) | −28.3882 | + | 13.6711i | −0.990757 | + | 0.477123i | −0.857792 | − | 0.513997i | \(-0.828164\pi\) |
−0.132965 | + | 0.991121i | \(0.542450\pi\) | |||||||
\(822\) | −9.64461 | − | 15.3493i | −0.336394 | − | 0.535369i | ||||
\(823\) | 0.541029 | + | 0.0609594i | 0.0188591 | + | 0.00212491i | 0.121389 | − | 0.992605i | \(-0.461265\pi\) |
−0.102530 | + | 0.994730i | \(0.532694\pi\) | |||||||
\(824\) | 3.93633 | + | 17.2462i | 0.137128 | + | 0.600799i | ||||
\(825\) | 36.3021 | − | 35.1952i | 1.26388 | − | 1.22534i | ||||
\(826\) | 19.7371 | − | 12.7050i | 0.686742 | − | 0.442063i | ||||
\(827\) | 3.90361 | − | 34.6455i | 0.135742 | − | 1.20474i | −0.722453 | − | 0.691420i | \(-0.756986\pi\) |
0.858195 | − | 0.513324i | \(-0.171586\pi\) | |||||||
\(828\) | 2.55454 | + | 22.6722i | 0.0887765 | + | 0.787913i | ||||
\(829\) | −13.9761 | − | 6.73054i | −0.485410 | − | 0.233761i | 0.175139 | − | 0.984544i | \(-0.443962\pi\) |
−0.660550 | + | 0.750782i | \(0.729677\pi\) | |||||||
\(830\) | 10.2633 | − | 28.6182i | 0.356243 | − | 0.993353i | ||||
\(831\) | −5.42327 | − | 1.23783i | −0.188131 | − | 0.0429397i | ||||
\(832\) | 1.86652 | − | 1.86652i | 0.0647099 | − | 0.0647099i | ||||
\(833\) | 28.1968 | + | 2.55355i | 0.976960 | + | 0.0884752i | ||||
\(834\) | − | 43.4844i | − | 1.50574i | ||||||
\(835\) | 23.0082 | − | 28.3976i | 0.796230 | − | 0.982739i | ||||
\(836\) | −12.6889 | − | 10.1191i | −0.438855 | − | 0.349975i | ||||
\(837\) | −2.63590 | − | 7.53297i | −0.0911100 | − | 0.260377i | ||||
\(838\) | 25.1899 | − | 2.83822i | 0.870170 | − | 0.0980447i | ||||
\(839\) | −28.3279 | − | 35.5221i | −0.977988 | − | 1.22636i | −0.974042 | − | 0.226365i | \(-0.927316\pi\) |
−0.00394516 | − | 0.999992i | \(-0.501256\pi\) | |||||||
\(840\) | −11.3079 | − | 11.2358i | −0.390161 | − | 0.387671i | ||||
\(841\) | −18.4225 | + | 23.1011i | −0.635258 | + | 0.796588i | ||||
\(842\) | −0.630629 | + | 1.00364i | −0.0217329 | + | 0.0345877i | ||||
\(843\) | 6.78462 | − | 60.2152i | 0.233675 | − | 2.07392i | ||||
\(844\) | 9.39645 | + | 2.14468i | 0.323439 | + | 0.0738229i | ||||
\(845\) | 9.61129 | − | 9.46364i | 0.330638 | − | 0.325559i | ||||
\(846\) | −37.7258 | − | 8.61068i | −1.29704 | − | 0.296041i | ||||
\(847\) | −7.31458 | + | 3.62164i | −0.251332 | + | 0.124441i | ||||
\(848\) | −1.88698 | − | 1.18567i | −0.0647993 | − | 0.0407161i | ||||
\(849\) | −66.7076 | + | 53.1975i | −2.28940 | + | 1.82573i | ||||
\(850\) | −9.05541 | + | 18.0823i | −0.310598 | + | 0.620216i | ||||
\(851\) | 23.8475 | 0.817483 | ||||||||
\(852\) | 21.6756 | − | 21.6756i | 0.742593 | − | 0.742593i | ||||
\(853\) | −27.1111 | − | 9.48658i | −0.928266 | − | 0.324814i | −0.176543 | − | 0.984293i | \(-0.556491\pi\) |
−0.751723 | + | 0.659479i | \(0.770777\pi\) | |||||||
\(854\) | 12.1449 | − | 4.39943i | 0.415590 | − | 0.150545i | ||||
\(855\) | 40.9008 | + | 4.92929i | 1.39878 | + | 0.168578i | ||||
\(856\) | −12.7211 | − | 6.12617i | −0.434799 | − | 0.209388i | ||||
\(857\) | 22.9145 | + | 14.3981i | 0.782743 | + | 0.491830i | 0.863160 | − | 0.504931i | \(-0.168482\pi\) |
−0.0804163 | + | 0.996761i | \(0.525625\pi\) | |||||||
\(858\) | 22.6020 | + | 14.2018i | 0.771619 | + | 0.484840i | ||||
\(859\) | 24.9398 | + | 12.0104i | 0.850933 | + | 0.409788i | 0.807924 | − | 0.589287i | \(-0.200591\pi\) |
0.0430095 | + | 0.999075i | \(0.486305\pi\) | |||||||
\(860\) | 11.3885 | − | 8.93869i | 0.388344 | − | 0.304807i | ||||
\(861\) | −25.7021 | + | 9.31043i | −0.875924 | + | 0.317299i | ||||
\(862\) | 2.87351 | + | 1.00548i | 0.0978721 | + | 0.0342469i | ||||
\(863\) | 23.0959 | − | 23.0959i | 0.786192 | − | 0.786192i | −0.194676 | − | 0.980868i | \(-0.562365\pi\) |
0.980868 | + | 0.194676i | \(0.0623654\pi\) | |||||||
\(864\) | 3.39600 | 0.115534 | ||||||||
\(865\) | 0.0351487 | − | 4.54099i | 0.00119509 | − | 0.154398i | ||||
\(866\) | −20.8885 | + | 16.6581i | −0.709822 | + | 0.566064i | ||||
\(867\) | −1.46304 | − | 0.919289i | −0.0496875 | − | 0.0312207i | ||||
\(868\) | 5.57209 | − | 2.75889i | 0.189129 | − | 0.0936428i | ||||
\(869\) | 2.53030 | + | 0.577526i | 0.0858347 | + | 0.0195912i | ||||
\(870\) | 32.3456 | + | 32.8502i | 1.09662 | + | 1.11373i | ||||
\(871\) | 15.5165 | + | 3.54153i | 0.525755 | + | 0.120000i | ||||
\(872\) | −1.02040 | + | 9.05634i | −0.0345553 | + | 0.306686i | ||||
\(873\) | 6.27103 | − | 9.98029i | 0.212242 | − | 0.337782i | ||||
\(874\) | 14.4394 | − | 18.1065i | 0.488422 | − | 0.612461i | ||||
\(875\) | −29.3515 | − | 3.67261i | −0.992263 | − | 0.124157i | ||||
\(876\) | 25.6531 | + | 32.1679i | 0.866737 | + | 1.08685i | ||||
\(877\) | −21.5408 | + | 2.42707i | −0.727382 | + | 0.0819563i | −0.467887 | − | 0.883788i | \(-0.654985\pi\) |
−0.259495 | + | 0.965744i | \(0.583556\pi\) | |||||||
\(878\) | −3.61331 | − | 10.3262i | −0.121943 | − | 0.348494i | ||||
\(879\) | 47.9901 | + | 38.2708i | 1.61867 | + | 1.29084i | ||||
\(880\) | −8.34621 | + | 0.875026i | −0.281351 | + | 0.0294971i | ||||
\(881\) | − | 1.87631i | − | 0.0632146i | −0.999500 | − | 0.0316073i | \(-0.989937\pi\) | ||
0.999500 | − | 0.0316073i | \(-0.0100626\pi\) | |||||||
\(882\) | −25.5925 | − | 15.3101i | −0.861745 | − | 0.515518i | ||||
\(883\) | −29.7344 | + | 29.7344i | −1.00064 | + | 1.00064i | −0.000641683 | 1.00000i | \(0.500204\pi\) | |
−1.00000 | 0.000641683i | \(0.999796\pi\) | ||||||||
\(884\) | −10.4087 | − | 2.37571i | −0.350081 | − | 0.0799038i | ||||
\(885\) | 22.8193 | + | 48.3383i | 0.767062 | + | 1.62487i | ||||
\(886\) | 9.20756 | + | 4.43413i | 0.309334 | + | 0.148967i | ||||
\(887\) | 2.87990 | + | 25.5598i | 0.0966976 | + | 0.858215i | 0.944636 | + | 0.328120i | \(0.106415\pi\) |
−0.847938 | + | 0.530095i | \(0.822156\pi\) | |||||||
\(888\) | 1.34343 | − | 11.9232i | 0.0450824 | − | 0.400118i | ||||
\(889\) | −9.17139 | + | 5.90372i | −0.307599 | + | 0.198004i | ||||
\(890\) | −11.0491 | − | 23.4054i | −0.370366 | − | 0.784550i | ||||
\(891\) | −3.03190 | − | 13.2836i | −0.101573 | − | 0.445018i | ||||
\(892\) | 6.34455 | + | 0.714859i | 0.212431 | + | 0.0239353i | ||||
\(893\) | 20.8974 | + | 33.2581i | 0.699306 | + | 1.11294i | ||||
\(894\) | 24.8982 | − | 11.9903i | 0.832719 | − | 0.401016i | ||||
\(895\) | 2.61154 | + | 24.9095i | 0.0872942 | + | 0.832633i | ||||
\(896\) | 0.324980 | + | 2.62572i | 0.0108568 | + | 0.0877190i | ||||
\(897\) | −20.2653 | + | 32.2520i | −0.676638 | + | 1.07686i | ||||
\(898\) | −34.9165 | − | 3.93415i | −1.16518 | − | 0.131284i | ||||
\(899\) | −16.2011 | + | 7.80202i | −0.540336 | + | 0.260212i | ||||
\(900\) | 16.8580 | − | 13.0220i | 0.561932 | − | 0.434067i | ||||
\(901\) | 9.01366i | 0.300289i | ||||||||
\(902\) | −4.75306 | + | 13.5835i | −0.158259 | + | 0.452280i | ||||
\(903\) | 28.3817 | − | 36.3996i | 0.944485 | − | 1.21130i | ||||
\(904\) | 5.51078 | − | 11.4432i | 0.183286 | − | 0.380597i | ||||
\(905\) | −5.67244 | − | 0.683634i | −0.188558 | − | 0.0227247i | ||||
\(906\) | 15.0536 | − | 3.43588i | 0.500122 | − | 0.114150i | ||||
\(907\) | −0.801884 | + | 1.27619i | −0.0266261 | + | 0.0423752i | −0.859772 | − | 0.510678i | \(-0.829394\pi\) |
0.833146 | + | 0.553053i | \(0.186537\pi\) | |||||||
\(908\) | 0.653411 | + | 1.86734i | 0.0216842 | + | 0.0619699i | ||||
\(909\) | −62.5056 | − | 30.1011i | −2.07318 | − | 0.998391i | ||||
\(910\) | −1.79817 | − | 15.5126i | −0.0596086 | − | 0.514236i | ||||
\(911\) | 44.3876 | − | 21.3759i | 1.47063 | − | 0.708216i | 0.484589 | − | 0.874742i | \(-0.338969\pi\) |
0.986037 | + | 0.166526i | \(0.0532550\pi\) | |||||||
\(912\) | −8.23942 | − | 8.23942i | −0.272835 | − | 0.272835i | ||||
\(913\) | −36.0822 | − | 36.0822i | −1.19415 | − | 1.19415i | ||||
\(914\) | −11.5703 | − | 24.0260i | −0.382713 | − | 0.794711i | ||||
\(915\) | 6.32349 | + | 28.7282i | 0.209048 | + | 0.949725i | ||||
\(916\) | 0.978682 | − | 0.223378i | 0.0323366 | − | 0.00738061i | ||||
\(917\) | −0.208431 | − | 19.0477i | −0.00688301 | − | 0.629010i | ||||
\(918\) | −7.30770 | − | 11.6301i | −0.241190 | − | 0.383852i | ||||
\(919\) | 3.63567 | + | 7.54954i | 0.119930 | + | 0.249036i | 0.952288 | − | 0.305202i | \(-0.0987239\pi\) |
−0.832358 | + | 0.554238i | \(0.813010\pi\) | |||||||
\(920\) | −1.24862 | − | 11.9097i | −0.0411659 | − | 0.392650i | ||||
\(921\) | −20.6987 | − | 25.9554i | −0.682047 | − | 0.855260i | ||||
\(922\) | −19.5536 | − | 12.2863i | −0.643962 | − | 0.404628i | ||||
\(923\) | 29.8411 | − | 3.36229i | 0.982233 | − | 0.110671i | ||||
\(924\) | −25.1554 | + | 9.11243i | −0.827553 | + | 0.299777i | ||||
\(925\) | −11.5525 | − | 19.0335i | −0.379844 | − | 0.625819i | ||||
\(926\) | 0.161067 | − | 0.201971i | 0.00529299 | − | 0.00663719i | ||||
\(927\) | −71.1350 | + | 24.8912i | −2.33638 | + | 0.817535i | ||||
\(928\) | −0.856710 | − | 7.60351i | −0.0281229 | − | 0.249598i | ||||
\(929\) | −12.5709 | + | 55.0769i | −0.412439 | + | 1.80701i | 0.160060 | + | 0.987107i | \(0.448831\pi\) |
−0.572499 | + | 0.819906i | \(0.694026\pi\) | |||||||
\(930\) | 4.57295 | + | 13.4006i | 0.149953 | + | 0.439422i | ||||
\(931\) | 7.38019 | + | 29.3579i | 0.241876 | + | 0.962165i | ||||
\(932\) | 12.4544 | + | 12.4544i | 0.407958 | + | 0.407958i | ||||
\(933\) | 1.72891 | + | 2.75155i | 0.0566020 | + | 0.0900816i | ||||
\(934\) | 13.8568 | − | 17.3759i | 0.453409 | − | 0.568556i | ||||
\(935\) | 20.9565 | + | 26.7000i | 0.685350 | + | 0.873182i | ||||
\(936\) | 8.79236 | + | 7.01167i | 0.287387 | + | 0.229184i | ||||
\(937\) | −8.04935 | − | 0.906944i | −0.262961 | − | 0.0296286i | −0.0205003 | − | 0.999790i | \(-0.506526\pi\) |
−0.242460 | + | 0.970161i | \(0.577954\pi\) | |||||||
\(938\) | −12.3624 | + | 10.0819i | −0.403646 | + | 0.329186i | ||||
\(939\) | 36.5682 | + | 29.1622i | 1.19336 | + | 0.951672i | ||||
\(940\) | 19.7651 | + | 4.67249i | 0.644665 | + | 0.152400i | ||||
\(941\) | 8.90074 | − | 7.09811i | 0.290156 | − | 0.231392i | −0.467583 | − | 0.883949i | \(-0.654875\pi\) |
0.757739 | + | 0.652557i | \(0.226304\pi\) | |||||||
\(942\) | −22.2899 | + | 14.0057i | −0.726244 | + | 0.456329i | ||||
\(943\) | −19.3830 | − | 6.78240i | −0.631196 | − | 0.220865i | ||||
\(944\) | 1.97418 | − | 8.64944i | 0.0642540 | − | 0.281515i | ||||
\(945\) | 12.4762 | − | 15.7478i | 0.405850 | − | 0.512277i | ||||
\(946\) | −5.40701 | − | 23.6897i | −0.175797 | − | 0.770217i | ||||
\(947\) | −4.98792 | + | 44.2690i | −0.162086 | + | 1.43855i | 0.604601 | + | 0.796529i | \(0.293333\pi\) |
−0.766687 | + | 0.642022i | \(0.778096\pi\) | |||||||
\(948\) | 1.75881 | + | 0.615435i | 0.0571235 | + | 0.0199884i | ||||
\(949\) | 40.3069i | 1.30842i | ||||||||
\(950\) | −21.4464 | − | 2.75325i | −0.695812 | − | 0.0893272i | ||||
\(951\) | −17.6811 | − | 36.7151i | −0.573348 | − | 1.19057i | ||||
\(952\) | 8.29286 | − | 6.76310i | 0.268773 | − | 0.219193i | ||||
\(953\) | 15.6547 | − | 5.47782i | 0.507106 | − | 0.177444i | −0.0645864 | − | 0.997912i | \(-0.520573\pi\) |
0.571692 | + | 0.820468i | \(0.306287\pi\) | |||||||
\(954\) | 4.11950 | − | 8.55423i | 0.133374 | − | 0.276953i | ||||
\(955\) | −51.3756 | + | 31.7295i | −1.66248 | + | 1.02674i | ||||
\(956\) | −2.28704 | − | 10.0202i | −0.0739680 | − | 0.324075i | ||||
\(957\) | 73.0346 | − | 25.5559i | 2.36087 | − | 0.826105i | ||||
\(958\) | 2.40463 | + | 6.87204i | 0.0776901 | + | 0.222025i | ||||
\(959\) | 12.7234 | + | 12.4479i | 0.410860 | + | 0.401965i | ||||
\(960\) | −6.02491 | − | 0.0466348i | −0.194453 | − | 0.00150513i | ||||
\(961\) | 25.4772 | 0.821845 | ||||||||
\(962\) | 8.31166 | − | 8.31166i | 0.267979 | − | 0.267979i | ||||
\(963\) | 19.8674 | − | 56.7778i | 0.640218 | − | 1.82964i | ||||
\(964\) | −14.7574 | − | 18.5052i | −0.475303 | − | 0.596011i | ||||
\(965\) | 6.69630 | − | 28.3260i | 0.215562 | − | 0.911846i | ||||
\(966\) | −13.0030 | − | 35.8957i | −0.418365 | − | 1.15492i | ||||
\(967\) | −13.7631 | + | 8.64790i | −0.442590 | + | 0.278098i | −0.734835 | − | 0.678246i | \(-0.762741\pi\) |
0.292245 | + | 0.956343i | \(0.405598\pi\) | |||||||
\(968\) | −1.01890 | + | 2.91185i | −0.0327487 | + | 0.0935905i | ||||
\(969\) | −10.4872 | + | 45.9472i | −0.336896 | + | 1.47604i | ||||
\(970\) | −3.33184 | + | 5.21258i | −0.106979 | + | 0.167366i | ||||
\(971\) | 22.1344 | − | 5.05203i | 0.710327 | − | 0.162128i | 0.147934 | − | 0.988997i | \(-0.452738\pi\) |
0.562393 | + | 0.826870i | \(0.309881\pi\) | |||||||
\(972\) | −2.23597 | − | 19.8448i | −0.0717189 | − | 0.636523i | ||||
\(973\) | 9.95604 | + | 41.5207i | 0.319176 | + | 1.33109i | ||||
\(974\) | 4.97005 | − | 3.96348i | 0.159251 | − | 0.126998i | ||||
\(975\) | 35.5586 | + | 0.550503i | 1.13879 | + | 0.0176302i | ||||
\(976\) | 2.11832 | − | 4.39874i | 0.0678059 | − | 0.140800i | ||||
\(977\) | −33.3045 | + | 3.75252i | −1.06551 | + | 0.120054i | −0.627267 | − | 0.778805i | \(-0.715826\pi\) |
−0.438239 | + | 0.898858i | \(0.644398\pi\) | |||||||
\(978\) | 34.2171 | − | 21.5000i | 1.09414 | − | 0.687495i | ||||
\(979\) | −43.4406 | −1.38837 | ||||||||
\(980\) | 13.3698 | + | 8.13934i | 0.427082 | + | 0.260002i | ||||
\(981\) | −38.8273 | −1.23966 | ||||||||
\(982\) | −33.6659 | + | 21.1537i | −1.07432 | + | 0.675042i | ||||
\(983\) | 17.2997 | − | 1.94921i | 0.551775 | − | 0.0621702i | 0.168325 | − | 0.985732i | \(-0.446164\pi\) |
0.383451 | + | 0.923561i | \(0.374736\pi\) | |||||||
\(984\) | −4.48297 | + | 9.30898i | −0.142912 | + | 0.296760i | ||||
\(985\) | −2.22064 | − | 4.70400i | −0.0707555 | − | 0.149882i | ||||
\(986\) | −24.1959 | + | 19.2956i | −0.770554 | + | 0.614497i | ||||
\(987\) | 64.7476 | − | 0.708507i | 2.06094 | − | 0.0225520i | ||||
\(988\) | −1.27809 | − | 11.3434i | −0.0406614 | − | 0.360880i | ||||
\(989\) | 33.8041 | − | 7.71556i | 1.07491 | − | 0.245340i | ||||
\(990\) | −7.68567 | − | 34.9167i | −0.244267 | − | 1.10973i | ||||
\(991\) | −9.48867 | + | 41.5726i | −0.301418 | + | 1.32060i | 0.566571 | + | 0.824013i | \(0.308270\pi\) |
−0.867989 | + | 0.496584i | \(0.834587\pi\) | |||||||
\(992\) | 0.776177 | − | 2.21819i | 0.0246437 | − | 0.0704275i | ||||
\(993\) | −58.1750 | + | 36.5538i | −1.84613 | + | 1.16000i | ||||
\(994\) | −15.7340 | + | 25.6595i | −0.499051 | + | 0.813869i | ||||
\(995\) | −50.7866 | + | 31.3657i | −1.61004 | + | 0.994358i | ||||
\(996\) | −22.8422 | − | 28.6432i | −0.723783 | − | 0.907595i | ||||
\(997\) | 13.2942 | − | 37.9928i | 0.421033 | − | 1.20324i | −0.516785 | − | 0.856115i | \(-0.672871\pi\) |
0.937818 | − | 0.347128i | \(-0.112843\pi\) | |||||||
\(998\) | 5.29190 | − | 5.29190i | 0.167512 | − | 0.167512i | ||||
\(999\) | 15.1225 | 0.478454 |
(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 | 490.2.s.a.377.15 | yes | 336 | |
5.3 | odd | 4 | inner | 490.2.s.a.83.1 | yes | 336 | |
49.13 | odd | 14 | inner | 490.2.s.a.307.1 | yes | 336 | |
245.13 | even | 28 | inner | 490.2.s.a.13.15 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.s.a.13.15 | ✓ | 336 | 245.13 | even | 28 | inner | |
490.2.s.a.83.1 | yes | 336 | 5.3 | odd | 4 | inner | |
490.2.s.a.307.1 | yes | 336 | 49.13 | odd | 14 | inner | |
490.2.s.a.377.15 | yes | 336 | 1.1 | even | 1 | trivial |