Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 23.5 | ||
Character | \(\chi\) | \(=\) | 150.23 |
Dual form | 150.2.l.a.137.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.987688 | − | 0.156434i | −0.698401 | − | 0.110616i | ||||
\(3\) | 1.64008 | + | 0.556890i | 0.946903 | + | 0.321521i | ||||
\(4\) | 0.951057 | + | 0.309017i | 0.475528 | + | 0.154508i | ||||
\(5\) | 0.545143 | + | 2.16860i | 0.243795 | + | 0.969827i | ||||
\(6\) | −1.53277 | − | 0.806599i | −0.625753 | − | 0.329293i | ||||
\(7\) | −1.41702 | + | 1.41702i | −0.535583 | + | 0.535583i | −0.922229 | − | 0.386645i | \(-0.873634\pi\) |
0.386645 | + | 0.922229i | \(0.373634\pi\) | |||||||
\(8\) | −0.891007 | − | 0.453990i | −0.315018 | − | 0.160510i | ||||
\(9\) | 2.37975 | + | 1.82669i | 0.793249 | + | 0.608897i | ||||
\(10\) | −0.199188 | − | 2.22718i | −0.0629888 | − | 0.704296i | ||||
\(11\) | −2.37267 | − | 3.26569i | −0.715386 | − | 0.984644i | −0.999664 | − | 0.0259024i | \(-0.991754\pi\) |
0.284279 | − | 0.958742i | \(-0.408246\pi\) | |||||||
\(12\) | 1.38772 | + | 1.03645i | 0.400601 | + | 0.299197i | ||||
\(13\) | 0.301677 | + | 1.90471i | 0.0836701 | + | 0.528272i | 0.993549 | + | 0.113399i | \(0.0361740\pi\) |
−0.909879 | + | 0.414873i | \(0.863826\pi\) | |||||||
\(14\) | 1.62125 | − | 1.17790i | 0.433296 | − | 0.314808i | ||||
\(15\) | −0.313590 | + | 3.86027i | −0.0809687 | + | 0.996717i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 1.78386 | − | 3.50102i | 0.432649 | − | 0.849121i | −0.567028 | − | 0.823699i | \(-0.691907\pi\) |
0.999677 | − | 0.0254227i | \(-0.00809318\pi\) | |||||||
\(18\) | −2.06469 | − | 2.17648i | −0.486652 | − | 0.513001i | ||||
\(19\) | 6.42284 | − | 2.08691i | 1.47350 | − | 0.478769i | 0.541336 | − | 0.840806i | \(-0.317919\pi\) |
0.932164 | + | 0.362037i | \(0.117919\pi\) | |||||||
\(20\) | −0.151672 | + | 2.23092i | −0.0339148 | + | 0.498848i | ||||
\(21\) | −3.11316 | + | 1.53491i | −0.679346 | + | 0.334944i | ||||
\(22\) | 1.83259 | + | 3.59666i | 0.390709 | + | 0.766810i | ||||
\(23\) | −0.317431 | + | 2.00418i | −0.0661889 | + | 0.417900i | 0.932239 | + | 0.361844i | \(0.117853\pi\) |
−0.998428 | + | 0.0560564i | \(0.982147\pi\) | |||||||
\(24\) | −1.20850 | − | 1.24077i | −0.246684 | − | 0.253272i | ||||
\(25\) | −4.40564 | + | 2.36439i | −0.881128 | + | 0.472879i | ||||
\(26\) | − | 1.92846i | − | 0.378201i | ||||||
\(27\) | 2.88572 | + | 4.32118i | 0.555357 | + | 0.831612i | ||||
\(28\) | −1.78555 | + | 0.909783i | −0.337437 | + | 0.171933i | ||||
\(29\) | 1.79717 | − | 5.53113i | 0.333727 | − | 1.02710i | −0.633619 | − | 0.773645i | \(-0.718431\pi\) |
0.967346 | − | 0.253460i | \(-0.0815685\pi\) | |||||||
\(30\) | 0.913608 | − | 3.76368i | 0.166801 | − | 0.687152i | ||||
\(31\) | −2.88201 | − | 8.86991i | −0.517624 | − | 1.59308i | −0.778457 | − | 0.627698i | \(-0.783997\pi\) |
0.260833 | − | 0.965384i | \(-0.416003\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −2.07274 | − | 6.67733i | −0.360817 | − | 1.16237i | ||||
\(34\) | −2.30957 | + | 3.17886i | −0.396089 | + | 0.545169i | ||||
\(35\) | −3.84543 | − | 2.30047i | −0.649996 | − | 0.388850i | ||||
\(36\) | 1.69880 | + | 2.47267i | 0.283133 | + | 0.412112i | ||||
\(37\) | −6.31949 | + | 1.00091i | −1.03892 | + | 0.164548i | −0.652510 | − | 0.757780i | \(-0.726284\pi\) |
−0.386407 | + | 0.922328i | \(0.626284\pi\) | |||||||
\(38\) | −6.67023 | + | 1.05646i | −1.08205 | + | 0.171380i | ||||
\(39\) | −0.565940 | + | 3.29189i | −0.0906230 | + | 0.527124i | ||||
\(40\) | 0.498797 | − | 2.17973i | 0.0788667 | − | 0.344645i | ||||
\(41\) | 0.756950 | − | 1.04185i | 0.118216 | − | 0.162710i | −0.745808 | − | 0.666161i | \(-0.767936\pi\) |
0.864024 | + | 0.503451i | \(0.167936\pi\) | |||||||
\(42\) | 3.31494 | − | 1.02900i | 0.511506 | − | 0.158779i | ||||
\(43\) | −6.68950 | − | 6.68950i | −1.02014 | − | 1.02014i | −0.999793 | − | 0.0203466i | \(-0.993523\pi\) |
−0.0203466 | − | 0.999793i | \(-0.506477\pi\) | |||||||
\(44\) | −1.24738 | − | 3.83905i | −0.188050 | − | 0.578759i | ||||
\(45\) | −2.66406 | + | 6.15652i | −0.397134 | + | 0.917760i | ||||
\(46\) | 0.627046 | − | 1.92985i | 0.0924528 | − | 0.284541i | ||||
\(47\) | −1.18073 | + | 0.601612i | −0.172227 | + | 0.0877541i | −0.537979 | − | 0.842958i | \(-0.680812\pi\) |
0.365752 | + | 0.930712i | \(0.380812\pi\) | |||||||
\(48\) | 0.999524 | + | 1.41455i | 0.144269 | + | 0.204173i | ||||
\(49\) | 2.98411i | 0.426301i | ||||||||
\(50\) | 4.72127 | − | 1.64609i | 0.667688 | − | 0.232792i | ||||
\(51\) | 4.87536 | − | 4.74855i | 0.682686 | − | 0.664930i | ||||
\(52\) | −0.301677 | + | 1.90471i | −0.0418351 | + | 0.264136i | ||||
\(53\) | 4.96215 | + | 9.73877i | 0.681604 | + | 1.33772i | 0.929459 | + | 0.368926i | \(0.120275\pi\) |
−0.247854 | + | 0.968797i | \(0.579725\pi\) | |||||||
\(54\) | −2.17421 | − | 4.71941i | −0.295872 | − | 0.642230i | ||||
\(55\) | 5.78854 | − | 6.92563i | 0.780526 | − | 0.933852i | ||||
\(56\) | 1.90589 | − | 0.619261i | 0.254685 | − | 0.0827522i | ||||
\(57\) | 11.6962 | + | 0.154113i | 1.54920 | + | 0.0204128i | ||||
\(58\) | −2.64031 | + | 5.18189i | −0.346689 | + | 0.680416i | ||||
\(59\) | −3.81952 | − | 2.77504i | −0.497259 | − | 0.361280i | 0.310710 | − | 0.950505i | \(-0.399433\pi\) |
−0.807969 | + | 0.589225i | \(0.799433\pi\) | |||||||
\(60\) | −1.49113 | + | 3.57443i | −0.192504 | + | 0.461457i | ||||
\(61\) | −0.433671 | + | 0.315081i | −0.0555259 | + | 0.0403419i | −0.615202 | − | 0.788370i | \(-0.710926\pi\) |
0.559676 | + | 0.828711i | \(0.310926\pi\) | |||||||
\(62\) | 1.45897 | + | 9.21155i | 0.185289 | + | 1.16987i | ||||
\(63\) | −5.96061 | + | 0.783690i | −0.750966 | + | 0.0987357i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −3.96610 | + | 1.69256i | −0.491934 | + | 0.209936i | ||||
\(66\) | 1.00265 | + | 6.91936i | 0.123418 | + | 0.851715i | ||||
\(67\) | −1.35097 | − | 0.688356i | −0.165048 | − | 0.0840960i | 0.369515 | − | 0.929225i | \(-0.379524\pi\) |
−0.534563 | + | 0.845129i | \(0.679524\pi\) | |||||||
\(68\) | 2.77842 | − | 2.77842i | 0.336933 | − | 0.336933i | ||||
\(69\) | −1.63672 | + | 3.11025i | −0.197038 | + | 0.374430i | ||||
\(70\) | 3.43821 | + | 2.87370i | 0.410945 | + | 0.343473i | ||||
\(71\) | 0.520251 | + | 0.169040i | 0.0617424 | + | 0.0200613i | 0.339725 | − | 0.940525i | \(-0.389666\pi\) |
−0.277983 | + | 0.960586i | \(0.589666\pi\) | |||||||
\(72\) | −1.29107 | − | 2.70798i | −0.152154 | − | 0.319138i | ||||
\(73\) | 7.37855 | + | 1.16865i | 0.863594 | + | 0.136780i | 0.572490 | − | 0.819912i | \(-0.305977\pi\) |
0.291104 | + | 0.956691i | \(0.405977\pi\) | |||||||
\(74\) | 6.39826 | 0.743783 | ||||||||
\(75\) | −8.54232 | + | 1.42435i | −0.986382 | + | 0.164469i | ||||
\(76\) | 6.75337 | 0.774665 | ||||||||
\(77\) | 7.98967 | + | 1.26544i | 0.910508 | + | 0.144210i | ||||
\(78\) | 1.07394 | − | 3.16283i | 0.121599 | − | 0.358120i | ||||
\(79\) | 10.2088 | + | 3.31704i | 1.14858 | + | 0.373196i | 0.820607 | − | 0.571492i | \(-0.193635\pi\) |
0.327971 | + | 0.944688i | \(0.393635\pi\) | |||||||
\(80\) | −0.833640 | + | 2.07486i | −0.0932038 | + | 0.231976i | ||||
\(81\) | 2.32639 | + | 8.69413i | 0.258488 | + | 0.966014i | ||||
\(82\) | −0.910612 | + | 0.910612i | −0.100560 | + | 0.100560i | ||||
\(83\) | −3.00600 | − | 1.53163i | −0.329952 | − | 0.168119i | 0.281165 | − | 0.959659i | \(-0.409279\pi\) |
−0.611116 | + | 0.791541i | \(0.709279\pi\) | |||||||
\(84\) | −3.43510 | + | 0.497765i | −0.374800 | + | 0.0543106i | ||||
\(85\) | 8.56476 | + | 1.95991i | 0.928978 | + | 0.212583i | ||||
\(86\) | 5.56067 | + | 7.65361i | 0.599623 | + | 0.825310i | ||||
\(87\) | 6.02774 | − | 8.07068i | 0.646242 | − | 0.865268i | ||||
\(88\) | 0.631467 | + | 3.98692i | 0.0673146 | + | 0.425007i | ||||
\(89\) | −11.4865 | + | 8.34544i | −1.21757 | + | 0.884615i | −0.995896 | − | 0.0905063i | \(-0.971151\pi\) |
−0.221672 | + | 0.975121i | \(0.571151\pi\) | |||||||
\(90\) | 3.59435 | − | 5.66398i | 0.378878 | − | 0.597036i | ||||
\(91\) | −3.12650 | − | 2.27153i | −0.327746 | − | 0.238122i | ||||
\(92\) | −0.921220 | + | 1.80800i | −0.0960439 | + | 0.188497i | ||||
\(93\) | 0.212830 | − | 16.1523i | 0.0220694 | − | 1.67492i | ||||
\(94\) | 1.26031 | − | 0.409498i | 0.129991 | − | 0.0422365i | ||||
\(95\) | 8.02703 | + | 12.7909i | 0.823556 | + | 1.31232i | ||||
\(96\) | −0.765933 | − | 1.55349i | −0.0781727 | − | 0.158553i | ||||
\(97\) | −4.82956 | − | 9.47854i | −0.490367 | − | 0.962400i | −0.995076 | − | 0.0991108i | \(-0.968400\pi\) |
0.504709 | − | 0.863290i | \(-0.331600\pi\) | |||||||
\(98\) | 0.466817 | − | 2.94737i | 0.0471557 | − | 0.297729i | ||||
\(99\) | 0.319074 | − | 12.1057i | 0.0320681 | − | 1.21666i | ||||
\(100\) | −4.92065 | + | 0.887255i | −0.492065 | + | 0.0887255i | ||||
\(101\) | 11.9603i | 1.19010i | 0.803690 | + | 0.595048i | \(0.202867\pi\) | ||||
−0.803690 | + | 0.595048i | \(0.797133\pi\) | |||||||
\(102\) | −5.55817 | + | 3.92741i | −0.550341 | + | 0.388872i | ||||
\(103\) | 2.58470 | − | 1.31697i | 0.254678 | − | 0.129765i | −0.321991 | − | 0.946743i | \(-0.604352\pi\) |
0.576669 | + | 0.816978i | \(0.304352\pi\) | |||||||
\(104\) | 0.595926 | − | 1.83407i | 0.0584353 | − | 0.179845i | ||||
\(105\) | −5.02571 | − | 5.91444i | −0.490459 | − | 0.577190i | ||||
\(106\) | −3.37758 | − | 10.3951i | −0.328060 | − | 1.00966i | ||||
\(107\) | −10.4011 | − | 10.4011i | −1.00551 | − | 1.00551i | −0.999985 | − | 0.00552544i | \(-0.998241\pi\) |
−0.00552544 | − | 0.999985i | \(-0.501759\pi\) | |||||||
\(108\) | 1.40916 | + | 5.00143i | 0.135597 | + | 0.481262i | ||||
\(109\) | −7.36263 | + | 10.1338i | −0.705212 | + | 0.970641i | 0.294675 | + | 0.955598i | \(0.404789\pi\) |
−0.999887 | + | 0.0150436i | \(0.995211\pi\) | |||||||
\(110\) | −6.80068 | + | 5.93484i | −0.648419 | + | 0.565865i | ||||
\(111\) | −10.9219 | − | 1.87769i | −1.03666 | − | 0.178222i | ||||
\(112\) | −1.97930 | + | 0.313490i | −0.187026 | + | 0.0296220i | ||||
\(113\) | 14.3852 | − | 2.27840i | 1.35325 | − | 0.214333i | 0.562663 | − | 0.826686i | \(-0.309777\pi\) |
0.790585 | + | 0.612353i | \(0.209777\pi\) | |||||||
\(114\) | −11.5281 | − | 1.98190i | −1.07970 | − | 0.185622i | ||||
\(115\) | −4.51931 | + | 0.404185i | −0.421428 | + | 0.0376904i | ||||
\(116\) | 3.41843 | − | 4.70506i | 0.317393 | − | 0.436854i | ||||
\(117\) | −2.76141 | + | 5.08381i | −0.255292 | + | 0.469998i | ||||
\(118\) | 3.33838 | + | 3.33838i | 0.307323 | + | 0.307323i | ||||
\(119\) | 2.43325 | + | 7.48877i | 0.223056 | + | 0.686495i | ||||
\(120\) | 2.03194 | − | 3.29716i | 0.185489 | − | 0.300988i | ||||
\(121\) | −1.63603 | + | 5.03519i | −0.148730 | + | 0.457744i | ||||
\(122\) | 0.477622 | − | 0.243360i | 0.0432418 | − | 0.0220328i | ||||
\(123\) | 1.82166 | − | 1.28719i | 0.164253 | − | 0.116062i | ||||
\(124\) | − | 9.32637i | − | 0.837533i | ||||||
\(125\) | −7.52912 | − | 8.26513i | −0.673425 | − | 0.739255i | ||||
\(126\) | 6.00982 | + | 0.158403i | 0.535397 | + | 0.0141117i | ||||
\(127\) | 0.572870 | − | 3.61696i | 0.0508340 | − | 0.320953i | −0.949147 | − | 0.314832i | \(-0.898052\pi\) |
0.999981 | − | 0.00612070i | \(-0.00194829\pi\) | |||||||
\(128\) | −0.453990 | − | 0.891007i | −0.0401275 | − | 0.0787546i | ||||
\(129\) | −7.24602 | − | 14.6967i | −0.637977 | − | 1.29397i | ||||
\(130\) | 4.18205 | − | 1.05128i | 0.366790 | − | 0.0922037i | ||||
\(131\) | 2.34952 | − | 0.763407i | 0.205279 | − | 0.0666992i | −0.204573 | − | 0.978851i | \(-0.565580\pi\) |
0.409852 | + | 0.912152i | \(0.365580\pi\) | |||||||
\(132\) | 0.0921166 | − | 6.99103i | 0.00801772 | − | 0.608491i | ||||
\(133\) | −6.14410 | + | 12.0585i | −0.532761 | + | 1.04560i | ||||
\(134\) | 1.22666 | + | 0.891220i | 0.105967 | + | 0.0769897i | ||||
\(135\) | −7.79778 | + | 8.61363i | −0.671126 | + | 0.741343i | ||||
\(136\) | −3.17886 | + | 2.30957i | −0.272585 | + | 0.198044i | ||||
\(137\) | −0.709676 | − | 4.48072i | −0.0606317 | − | 0.382814i | −0.999280 | − | 0.0379379i | \(-0.987921\pi\) |
0.938648 | − | 0.344876i | \(-0.112079\pi\) | |||||||
\(138\) | 2.10312 | − | 2.81592i | 0.179029 | − | 0.239707i | ||||
\(139\) | 3.37296 | + | 4.64248i | 0.286091 | + | 0.393770i | 0.927739 | − | 0.373228i | \(-0.121749\pi\) |
−0.641649 | + | 0.766999i | \(0.721749\pi\) | |||||||
\(140\) | −2.94633 | − | 3.37618i | −0.249011 | − | 0.285339i | ||||
\(141\) | −2.27153 | + | 0.329157i | −0.191297 | + | 0.0277200i | ||||
\(142\) | −0.487402 | − | 0.248344i | −0.0409019 | − | 0.0208405i | ||||
\(143\) | 5.50443 | − | 5.50443i | 0.460304 | − | 0.460304i | ||||
\(144\) | 0.851553 | + | 2.87661i | 0.0709628 | + | 0.239717i | ||||
\(145\) | 12.9745 | + | 0.882088i | 1.07747 | + | 0.0732534i | ||||
\(146\) | −7.10489 | − | 2.30852i | −0.588005 | − | 0.191054i | ||||
\(147\) | −1.66182 | + | 4.89419i | −0.137065 | + | 0.403666i | ||||
\(148\) | −6.31949 | − | 1.00091i | −0.519459 | − | 0.0822742i | ||||
\(149\) | 15.3490 | 1.25744 | 0.628720 | − | 0.777632i | \(-0.283579\pi\) | ||||
0.628720 | + | 0.777632i | \(0.283579\pi\) | |||||||
\(150\) | 8.65997 | − | 0.0704973i | 0.707083 | − | 0.00575608i | ||||
\(151\) | −22.6955 | −1.84694 | −0.923468 | − | 0.383676i | \(-0.874658\pi\) | ||||
−0.923468 | + | 0.383676i | \(0.874658\pi\) | |||||||
\(152\) | −6.67023 | − | 1.05646i | −0.541027 | − | 0.0856902i | ||||
\(153\) | 10.6404 | − | 5.07298i | 0.860226 | − | 0.410126i | ||||
\(154\) | −7.69335 | − | 2.49972i | −0.619948 | − | 0.201433i | ||||
\(155\) | 17.6642 | − | 11.0853i | 1.41882 | − | 0.890392i | ||||
\(156\) | −1.55549 | + | 2.95589i | −0.124539 | + | 0.236660i | ||||
\(157\) | 0.431200 | − | 0.431200i | 0.0344135 | − | 0.0344135i | −0.689691 | − | 0.724104i | \(-0.742253\pi\) |
0.724104 | + | 0.689691i | \(0.242253\pi\) | |||||||
\(158\) | −9.56420 | − | 4.87320i | −0.760887 | − | 0.387691i | ||||
\(159\) | 2.71492 | + | 18.7358i | 0.215307 | + | 1.48584i | ||||
\(160\) | 1.14796 | − | 1.91891i | 0.0907539 | − | 0.151703i | ||||
\(161\) | −2.39016 | − | 3.28977i | −0.188371 | − | 0.259270i | ||||
\(162\) | −0.937689 | − | 8.95102i | −0.0736718 | − | 0.703258i | ||||
\(163\) | 3.70877 | + | 23.4163i | 0.290493 | + | 1.83410i | 0.512049 | + | 0.858956i | \(0.328886\pi\) |
−0.221556 | + | 0.975148i | \(0.571114\pi\) | |||||||
\(164\) | 1.04185 | − | 0.756950i | 0.0813550 | − | 0.0591079i | ||||
\(165\) | 13.3505 | − | 8.13503i | 1.03933 | − | 0.633312i | ||||
\(166\) | 2.72939 | + | 1.98302i | 0.211842 | + | 0.153912i | ||||
\(167\) | 1.54555 | − | 3.03330i | 0.119598 | − | 0.234724i | −0.823444 | − | 0.567397i | \(-0.807950\pi\) |
0.943042 | + | 0.332673i | \(0.107950\pi\) | |||||||
\(168\) | 3.47068 | + | 0.0457310i | 0.267768 | + | 0.00352823i | ||||
\(169\) | 8.82681 | − | 2.86800i | 0.678986 | − | 0.220616i | ||||
\(170\) | −8.15271 | − | 3.27561i | −0.625285 | − | 0.251228i | ||||
\(171\) | 19.0969 | + | 6.76624i | 1.46037 | + | 0.517427i | ||||
\(172\) | −4.29493 | − | 8.42926i | −0.327485 | − | 0.642725i | ||||
\(173\) | −0.203505 | + | 1.28488i | −0.0154722 | + | 0.0976874i | −0.994216 | − | 0.107399i | \(-0.965748\pi\) |
0.978744 | + | 0.205087i | \(0.0657477\pi\) | |||||||
\(174\) | −7.21606 | + | 7.02837i | −0.547048 | + | 0.532820i | ||||
\(175\) | 2.89248 | − | 9.59327i | 0.218651 | − | 0.725183i | ||||
\(176\) | − | 4.03662i | − | 0.304272i | ||||||
\(177\) | −4.71894 | − | 6.67836i | −0.354697 | − | 0.501976i | ||||
\(178\) | 12.6506 | − | 6.44581i | 0.948203 | − | 0.483134i | ||||
\(179\) | −7.13852 | + | 21.9701i | −0.533558 | + | 1.64212i | 0.213186 | + | 0.977012i | \(0.431616\pi\) |
−0.746744 | + | 0.665112i | \(0.768384\pi\) | |||||||
\(180\) | −4.43614 | + | 5.03196i | −0.330650 | + | 0.375060i | ||||
\(181\) | 5.01359 | + | 15.4302i | 0.372657 | + | 1.14692i | 0.945046 | + | 0.326938i | \(0.106017\pi\) |
−0.572389 | + | 0.819983i | \(0.693983\pi\) | |||||||
\(182\) | 2.73266 | + | 2.73266i | 0.202558 | + | 0.202558i | ||||
\(183\) | −0.886722 | + | 0.275251i | −0.0655484 | + | 0.0203472i | ||||
\(184\) | 1.19271 | − | 1.64163i | 0.0879279 | − | 0.121022i | ||||
\(185\) | −5.61560 | − | 13.1588i | −0.412867 | − | 0.967454i | ||||
\(186\) | −2.73699 | + | 15.9202i | −0.200686 | + | 1.16733i | ||||
\(187\) | −15.6658 | + | 2.48121i | −1.14559 | + | 0.181444i | ||||
\(188\) | −1.30885 | + | 0.207301i | −0.0954576 | + | 0.0151190i | ||||
\(189\) | −10.2123 | − | 2.03409i | −0.742837 | − | 0.147958i | ||||
\(190\) | −5.92727 | − | 13.8891i | −0.430009 | − | 1.00762i | ||||
\(191\) | −3.27557 | + | 4.50844i | −0.237012 | + | 0.326219i | −0.910910 | − | 0.412606i | \(-0.864619\pi\) |
0.673898 | + | 0.738825i | \(0.264619\pi\) | |||||||
\(192\) | 0.513483 | + | 1.65419i | 0.0370575 | + | 0.119381i | ||||
\(193\) | −6.12138 | − | 6.12138i | −0.440626 | − | 0.440626i | 0.451596 | − | 0.892222i | \(-0.350855\pi\) |
−0.892222 | + | 0.451596i | \(0.850855\pi\) | |||||||
\(194\) | 3.28733 | + | 10.1174i | 0.236016 | + | 0.726384i | ||||
\(195\) | −7.44730 | + | 0.567254i | −0.533313 | + | 0.0406219i | ||||
\(196\) | −0.922140 | + | 2.83806i | −0.0658671 | + | 0.202718i | ||||
\(197\) | −15.7984 | + | 8.04970i | −1.12559 | + | 0.573518i | −0.914757 | − | 0.404004i | \(-0.867618\pi\) |
−0.210834 | + | 0.977522i | \(0.567618\pi\) | |||||||
\(198\) | −2.20889 | + | 11.9067i | −0.156979 | + | 0.846173i | ||||
\(199\) | − | 10.3594i | − | 0.734359i | −0.930150 | − | 0.367180i | \(-0.880323\pi\) | ||
0.930150 | − | 0.367180i | \(-0.119677\pi\) | |||||||
\(200\) | 4.99886 | − | 0.106572i | 0.353473 | − | 0.00753580i | ||||
\(201\) | −1.83237 | − | 1.88130i | −0.129246 | − | 0.132697i | ||||
\(202\) | 1.87101 | − | 11.8131i | 0.131644 | − | 0.831165i | ||||
\(203\) | 5.29109 | + | 10.3843i | 0.371362 | + | 0.728838i | ||||
\(204\) | 6.10412 | − | 3.00957i | 0.427374 | − | 0.210712i | ||||
\(205\) | 2.67201 | + | 1.07356i | 0.186621 | + | 0.0749808i | ||||
\(206\) | −2.75890 | + | 0.896420i | −0.192221 | + | 0.0624565i | ||||
\(207\) | −4.41642 | + | 4.18959i | −0.306963 | + | 0.291197i | ||||
\(208\) | −0.875501 | + | 1.71827i | −0.0607050 | + | 0.119140i | ||||
\(209\) | −22.0545 | − | 16.0235i | −1.52554 | − | 1.10837i | ||||
\(210\) | 4.03862 | + | 6.62782i | 0.278691 | + | 0.457363i | ||||
\(211\) | 17.8594 | − | 12.9756i | 1.22949 | − | 0.893278i | 0.232640 | − | 0.972563i | \(-0.425264\pi\) |
0.996852 | + | 0.0792851i | \(0.0252638\pi\) | |||||||
\(212\) | 1.70984 | + | 10.7955i | 0.117432 | + | 0.741439i | ||||
\(213\) | 0.759118 | + | 0.566962i | 0.0520139 | + | 0.0388476i | ||||
\(214\) | 8.64594 | + | 11.9001i | 0.591024 | + | 0.813475i | ||||
\(215\) | 10.8601 | − | 18.1536i | 0.740653 | − | 1.23806i | ||||
\(216\) | −0.609416 | − | 5.16029i | −0.0414655 | − | 0.351113i | ||||
\(217\) | 16.6527 | + | 8.48497i | 1.13046 | + | 0.575998i | ||||
\(218\) | 8.85726 | − | 8.85726i | 0.599889 | − | 0.599889i | ||||
\(219\) | 11.4506 | + | 6.02572i | 0.773762 | + | 0.407180i | ||||
\(220\) | 7.64536 | − | 4.79791i | 0.515450 | − | 0.323475i | ||||
\(221\) | 7.20658 | + | 2.34156i | 0.484767 | + | 0.157510i | ||||
\(222\) | 10.4937 | + | 3.56313i | 0.704290 | + | 0.239142i | ||||
\(223\) | 14.8047 | + | 2.34483i | 0.991395 | + | 0.157022i | 0.631004 | − | 0.775780i | \(-0.282643\pi\) |
0.360391 | + | 0.932801i | \(0.382643\pi\) | |||||||
\(224\) | 2.00397 | 0.133896 | ||||||||
\(225\) | −14.8033 | − | 2.42109i | −0.986888 | − | 0.161406i | ||||
\(226\) | −14.5645 | −0.968819 | ||||||||
\(227\) | 3.77582 | + | 0.598031i | 0.250610 | + | 0.0396927i | 0.280475 | − | 0.959861i | \(-0.409508\pi\) |
−0.0298656 | + | 0.999554i | \(0.509508\pi\) | |||||||
\(228\) | 11.0761 | + | 3.76089i | 0.733532 | + | 0.249071i | ||||
\(229\) | −21.4172 | − | 6.95886i | −1.41529 | − | 0.459854i | −0.501185 | − | 0.865340i | \(-0.667102\pi\) |
−0.914101 | + | 0.405486i | \(0.867102\pi\) | |||||||
\(230\) | 4.52689 | + | 0.307767i | 0.298495 | + | 0.0202935i | ||||
\(231\) | 12.3990 | + | 6.52479i | 0.815795 | + | 0.429300i | ||||
\(232\) | −4.11237 | + | 4.11237i | −0.269990 | + | 0.269990i | ||||
\(233\) | −15.3187 | − | 7.80526i | −1.00356 | − | 0.511340i | −0.126626 | − | 0.991950i | \(-0.540415\pi\) |
−0.876934 | + | 0.480611i | \(0.840415\pi\) | |||||||
\(234\) | 3.52269 | − | 4.58924i | 0.230286 | − | 0.300008i | ||||
\(235\) | −1.94832 | − | 2.23256i | −0.127094 | − | 0.145636i | ||||
\(236\) | −2.77504 | − | 3.81952i | −0.180640 | − | 0.248630i | ||||
\(237\) | 14.8960 | + | 11.1254i | 0.967601 | + | 0.722671i | ||||
\(238\) | −1.23179 | − | 7.77722i | −0.0798451 | − | 0.504122i | ||||
\(239\) | 2.77696 | − | 2.01758i | 0.179626 | − | 0.130506i | −0.494339 | − | 0.869269i | \(-0.664590\pi\) |
0.673965 | + | 0.738763i | \(0.264590\pi\) | |||||||
\(240\) | −2.52271 | + | 2.93870i | −0.162840 | + | 0.189692i | ||||
\(241\) | −6.92845 | − | 5.03381i | −0.446300 | − | 0.324256i | 0.341833 | − | 0.939761i | \(-0.388952\pi\) |
−0.788133 | + | 0.615505i | \(0.788952\pi\) | |||||||
\(242\) | 2.40357 | − | 4.71726i | 0.154507 | − | 0.303237i | ||||
\(243\) | −1.02620 | + | 15.5546i | −0.0658306 | + | 0.997831i | ||||
\(244\) | −0.509811 | + | 0.165648i | −0.0326373 | + | 0.0106045i | ||||
\(245\) | −6.47133 | + | 1.62677i | −0.413438 | + | 0.103930i | ||||
\(246\) | −2.00059 | + | 0.986369i | −0.127553 | + | 0.0628886i | ||||
\(247\) | 5.91258 | + | 11.6041i | 0.376209 | + | 0.738351i | ||||
\(248\) | −1.45897 | + | 9.21155i | −0.0926444 | + | 0.584934i | ||||
\(249\) | −4.07714 | − | 4.18602i | −0.258378 | − | 0.265278i | ||||
\(250\) | 6.14348 | + | 9.34118i | 0.388548 | + | 0.590788i | ||||
\(251\) | 11.9423i | 0.753789i | 0.926256 | + | 0.376894i | \(0.123008\pi\) | ||||
−0.926256 | + | 0.376894i | \(0.876992\pi\) | |||||||
\(252\) | −5.91105 | − | 1.09660i | −0.372361 | − | 0.0690791i | ||||
\(253\) | 7.29820 | − | 3.71862i | 0.458834 | − | 0.233787i | ||||
\(254\) | −1.13163 | + | 3.48281i | −0.0710050 | + | 0.218531i | ||||
\(255\) | 12.9555 | + | 7.98405i | 0.811302 | + | 0.499981i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −2.09358 | − | 2.09358i | −0.130594 | − | 0.130594i | 0.638789 | − | 0.769382i | \(-0.279436\pi\) |
−0.769382 | + | 0.638789i | \(0.779436\pi\) | |||||||
\(258\) | 4.85775 | + | 15.6492i | 0.302430 | + | 0.974280i | ||||
\(259\) | 7.53654 | − | 10.3732i | 0.468298 | − | 0.644556i | ||||
\(260\) | −4.29501 | + | 0.384125i | −0.266366 | + | 0.0238224i | ||||
\(261\) | 14.3805 | − | 9.87981i | 0.890130 | − | 0.611545i | ||||
\(262\) | −2.44002 | + | 0.386461i | −0.150745 | + | 0.0238757i | ||||
\(263\) | −22.4419 | + | 3.55445i | −1.38383 | + | 0.219177i | −0.803547 | − | 0.595241i | \(-0.797057\pi\) |
−0.580279 | + | 0.814418i | \(0.697057\pi\) | |||||||
\(264\) | −1.18462 | + | 6.89054i | −0.0729083 | + | 0.424084i | ||||
\(265\) | −18.4144 | + | 16.0699i | −1.13119 | + | 0.987169i | ||||
\(266\) | 7.95482 | − | 10.9489i | 0.487741 | − | 0.671318i | ||||
\(267\) | −23.4863 | + | 7.29049i | −1.43734 | + | 0.446171i | ||||
\(268\) | −1.07214 | − | 1.07214i | −0.0654913 | − | 0.0654913i | ||||
\(269\) | −3.72777 | − | 11.4729i | −0.227286 | − | 0.699515i | −0.998051 | − | 0.0623960i | \(-0.980126\pi\) |
0.770765 | − | 0.637119i | \(-0.219874\pi\) | |||||||
\(270\) | 9.04925 | − | 7.28774i | 0.550720 | − | 0.443517i | ||||
\(271\) | 2.54786 | − | 7.84151i | 0.154772 | − | 0.476338i | −0.843366 | − | 0.537339i | \(-0.819429\pi\) |
0.998138 | + | 0.0610015i | \(0.0194294\pi\) | |||||||
\(272\) | 3.50102 | − | 1.78386i | 0.212280 | − | 0.108162i | ||||
\(273\) | −3.86272 | − | 5.46662i | −0.233783 | − | 0.330855i | ||||
\(274\) | 4.53657i | 0.274064i | ||||||||
\(275\) | 18.1745 | + | 8.77755i | 1.09596 | + | 0.529306i | ||||
\(276\) | −2.51773 | + | 2.45225i | −0.151550 | + | 0.147608i | ||||
\(277\) | 1.31490 | − | 8.30193i | 0.0790045 | − | 0.498815i | −0.916178 | − | 0.400772i | \(-0.868742\pi\) |
0.995182 | − | 0.0980425i | \(-0.0312581\pi\) | |||||||
\(278\) | −2.60519 | − | 5.11297i | −0.156249 | − | 0.306656i | ||||
\(279\) | 9.34414 | − | 26.3727i | 0.559419 | − | 1.57889i | ||||
\(280\) | 2.38191 | + | 3.79552i | 0.142346 | + | 0.226826i | ||||
\(281\) | −0.214763 | + | 0.0697807i | −0.0128117 | + | 0.00416277i | −0.315416 | − | 0.948954i | \(-0.602144\pi\) |
0.302604 | + | 0.953116i | \(0.402144\pi\) | |||||||
\(282\) | 2.29505 | + | 0.0302405i | 0.136668 | + | 0.00180080i | ||||
\(283\) | −10.2206 | + | 20.0591i | −0.607554 | + | 1.19239i | 0.358374 | + | 0.933578i | \(0.383331\pi\) |
−0.965927 | + | 0.258813i | \(0.916669\pi\) | |||||||
\(284\) | 0.442552 | + | 0.321533i | 0.0262606 | + | 0.0190795i | ||||
\(285\) | 6.04188 | + | 25.4483i | 0.357890 | + | 1.50743i | ||||
\(286\) | −6.29775 | + | 4.57558i | −0.372394 | + | 0.270560i | ||||
\(287\) | 0.403712 | + | 2.54894i | 0.0238304 | + | 0.150459i | ||||
\(288\) | −0.391069 | − | 2.97440i | −0.0230440 | − | 0.175268i | ||||
\(289\) | 0.917376 | + | 1.26266i | 0.0539633 | + | 0.0742741i | ||||
\(290\) | −12.6768 | − | 2.90089i | −0.744406 | − | 0.170346i | ||||
\(291\) | −2.64237 | − | 18.2351i | −0.154899 | − | 1.06896i | ||||
\(292\) | 6.65629 | + | 3.39155i | 0.389530 | + | 0.198475i | ||||
\(293\) | 7.91375 | − | 7.91375i | 0.462326 | − | 0.462326i | −0.437091 | − | 0.899417i | \(-0.643991\pi\) |
0.899417 | + | 0.437091i | \(0.143991\pi\) | |||||||
\(294\) | 2.40698 | − | 4.57396i | 0.140378 | − | 0.266759i | ||||
\(295\) | 3.93577 | − | 9.79580i | 0.229149 | − | 0.570334i | ||||
\(296\) | 6.08511 | + | 1.97717i | 0.353690 | + | 0.114921i | ||||
\(297\) | 7.26483 | − | 19.6766i | 0.421548 | − | 1.14175i | ||||
\(298\) | −15.1600 | − | 2.40111i | −0.878197 | − | 0.139093i | ||||
\(299\) | −3.91315 | −0.226303 | ||||||||
\(300\) | −8.56438 | − | 1.28509i | −0.494465 | − | 0.0741946i | ||||
\(301\) | 18.9583 | 1.09274 | ||||||||
\(302\) | 22.4161 | + | 3.55036i | 1.28990 | + | 0.204300i | ||||
\(303\) | −6.66059 | + | 19.6159i | −0.382641 | + | 1.12691i | ||||
\(304\) | 6.42284 | + | 2.08691i | 0.368375 | + | 0.119692i | ||||
\(305\) | −0.919696 | − | 0.768695i | −0.0526617 | − | 0.0440153i | ||||
\(306\) | −11.3030 | + | 3.34599i | −0.646149 | + | 0.191278i | ||||
\(307\) | −7.00526 | + | 7.00526i | −0.399811 | + | 0.399811i | −0.878166 | − | 0.478355i | \(-0.841233\pi\) |
0.478355 | + | 0.878166i | \(0.341233\pi\) | |||||||
\(308\) | 7.20759 | + | 3.67245i | 0.410690 | + | 0.209257i | ||||
\(309\) | 4.97253 | − | 0.720548i | 0.282877 | − | 0.0409905i | ||||
\(310\) | −19.1808 | + | 8.18552i | −1.08940 | + | 0.464907i | ||||
\(311\) | −7.14665 | − | 9.83652i | −0.405249 | − | 0.557778i | 0.556802 | − | 0.830645i | \(-0.312028\pi\) |
−0.962052 | + | 0.272867i | \(0.912028\pi\) | |||||||
\(312\) | 1.99874 | − | 2.67616i | 0.113157 | − | 0.151508i | ||||
\(313\) | −3.84643 | − | 24.2854i | −0.217413 | − | 1.37269i | −0.818958 | − | 0.573853i | \(-0.805448\pi\) |
0.601545 | − | 0.798839i | \(-0.294552\pi\) | |||||||
\(314\) | −0.493346 | + | 0.358437i | −0.0278411 | + | 0.0202278i | ||||
\(315\) | −4.94889 | − | 12.4989i | −0.278839 | − | 0.704236i | ||||
\(316\) | 8.68411 | + | 6.30938i | 0.488519 | + | 0.354930i | ||||
\(317\) | 4.73623 | − | 9.29537i | 0.266013 | − | 0.522080i | −0.718904 | − | 0.695110i | \(-0.755356\pi\) |
0.984917 | + | 0.173030i | \(0.0553557\pi\) | |||||||
\(318\) | 0.249427 | − | 18.9298i | 0.0139872 | − | 1.06153i | ||||
\(319\) | −22.3271 | + | 7.25450i | −1.25008 | + | 0.406174i | ||||
\(320\) | −1.43401 | + | 1.71570i | −0.0801634 | + | 0.0959106i | ||||
\(321\) | −11.2664 | − | 22.8509i | −0.628828 | − | 1.27541i | ||||
\(322\) | 1.84610 | + | 3.62317i | 0.102879 | + | 0.201911i | ||||
\(323\) | 4.15113 | − | 26.2092i | 0.230975 | − | 1.45832i | ||||
\(324\) | −0.474104 | + | 8.98750i | −0.0263391 | + | 0.499306i | ||||
\(325\) | −5.83257 | − | 7.67819i | −0.323533 | − | 0.425910i | ||||
\(326\) | − | 23.7082i | − | 1.31307i | ||||||
\(327\) | −17.7187 | + | 12.5201i | −0.979848 | + | 0.692362i | ||||
\(328\) | −1.14744 | + | 0.584649i | −0.0633567 | + | 0.0322818i | ||||
\(329\) | 0.820621 | − | 2.52561i | 0.0452423 | − | 0.139242i | ||||
\(330\) | −14.4587 | + | 5.94640i | −0.795927 | + | 0.327339i | ||||
\(331\) | 5.72324 | + | 17.6143i | 0.314578 | + | 0.968170i | 0.975928 | + | 0.218093i | \(0.0699837\pi\) |
−0.661350 | + | 0.750077i | \(0.730016\pi\) | |||||||
\(332\) | −2.38558 | − | 2.38558i | −0.130926 | − | 0.130926i | ||||
\(333\) | −16.8671 | − | 9.16185i | −0.924313 | − | 0.502066i | ||||
\(334\) | −2.00103 | + | 2.75418i | −0.109492 | + | 0.150702i | ||||
\(335\) | 0.756293 | − | 3.30497i | 0.0413207 | − | 0.180570i | ||||
\(336\) | −3.42079 | − | 0.588101i | −0.186619 | − | 0.0320836i | ||||
\(337\) | 11.7295 | − | 1.85777i | 0.638947 | − | 0.101199i | 0.171448 | − | 0.985193i | \(-0.445155\pi\) |
0.467498 | + | 0.883994i | \(0.345155\pi\) | |||||||
\(338\) | −9.16679 | + | 1.45188i | −0.498608 | + | 0.0789717i | ||||
\(339\) | 24.8618 | + | 4.27423i | 1.35031 | + | 0.232144i | ||||
\(340\) | 7.53992 | + | 4.51064i | 0.408910 | + | 0.244624i | ||||
\(341\) | −22.1284 | + | 30.4571i | −1.19832 | + | 1.64934i | ||||
\(342\) | −17.8033 | − | 9.67034i | −0.962691 | − | 0.522912i | ||||
\(343\) | −14.1477 | − | 14.1477i | −0.763903 | − | 0.763903i | ||||
\(344\) | 2.92342 | + | 8.99736i | 0.157620 | + | 0.485105i | ||||
\(345\) | −7.63713 | − | 1.85386i | −0.411169 | − | 0.0998084i | ||||
\(346\) | 0.401998 | − | 1.23722i | 0.0216115 | − | 0.0665135i | ||||
\(347\) | 6.98295 | − | 3.55799i | 0.374864 | − | 0.191003i | −0.256400 | − | 0.966571i | \(-0.582536\pi\) |
0.631264 | + | 0.775568i | \(0.282536\pi\) | |||||||
\(348\) | 8.22670 | − | 5.81300i | 0.440998 | − | 0.311610i | ||||
\(349\) | 9.37804i | 0.501995i | 0.967988 | + | 0.250997i | \(0.0807586\pi\) | ||||
−0.967988 | + | 0.250997i | \(0.919241\pi\) | |||||||
\(350\) | −4.35759 | + | 9.02268i | −0.232923 | + | 0.482282i | ||||
\(351\) | −7.36006 | + | 6.80006i | −0.392851 | + | 0.362961i | ||||
\(352\) | −0.631467 | + | 3.98692i | −0.0336573 | + | 0.212504i | ||||
\(353\) | 6.61368 | + | 12.9801i | 0.352010 | + | 0.690859i | 0.997328 | − | 0.0730551i | \(-0.0232749\pi\) |
−0.645317 | + | 0.763915i | \(0.723275\pi\) | |||||||
\(354\) | 3.61612 | + | 7.33434i | 0.192194 | + | 0.389816i | ||||
\(355\) | −0.0829681 | + | 1.22037i | −0.00440349 | + | 0.0647703i | ||||
\(356\) | −13.5032 | + | 4.38746i | −0.715669 | + | 0.232535i | ||||
\(357\) | −0.179690 | + | 13.6373i | −0.00951021 | + | 0.721761i | ||||
\(358\) | 10.4875 | − | 20.5829i | 0.554283 | − | 1.08784i | ||||
\(359\) | −9.55110 | − | 6.93928i | −0.504088 | − | 0.366241i | 0.306488 | − | 0.951874i | \(-0.400846\pi\) |
−0.810576 | + | 0.585633i | \(0.800846\pi\) | |||||||
\(360\) | 5.16870 | − | 4.27605i | 0.272414 | − | 0.225367i | ||||
\(361\) | 21.5264 | − | 15.6398i | 1.13297 | − | 0.823148i | ||||
\(362\) | −2.53804 | − | 16.0246i | −0.133397 | − | 0.842233i | ||||
\(363\) | −5.48727 | + | 7.34704i | −0.288007 | + | 0.385619i | ||||
\(364\) | −2.27153 | − | 3.12650i | −0.119061 | − | 0.163873i | ||||
\(365\) | 1.48804 | + | 16.6382i | 0.0778875 | + | 0.870883i | ||||
\(366\) | 0.918864 | − | 0.133149i | 0.0480298 | − | 0.00695979i | ||||
\(367\) | −2.40607 | − | 1.22595i | −0.125596 | − | 0.0639943i | 0.390064 | − | 0.920788i | \(-0.372453\pi\) |
−0.515659 | + | 0.856794i | \(0.672453\pi\) | |||||||
\(368\) | −1.43483 | + | 1.43483i | −0.0747959 | + | 0.0747959i | ||||
\(369\) | 3.70449 | − | 1.09663i | 0.192848 | − | 0.0570883i | ||||
\(370\) | 3.48797 | + | 13.8753i | 0.181331 | + | 0.721340i | ||||
\(371\) | −20.8315 | − | 6.76857i | −1.08152 | − | 0.351407i | ||||
\(372\) | 5.19376 | − | 15.2960i | 0.269284 | − | 0.793062i | ||||
\(373\) | −21.1854 | − | 3.35543i | −1.09694 | − | 0.173738i | −0.418370 | − | 0.908277i | \(-0.637398\pi\) |
−0.678566 | + | 0.734539i | \(0.737398\pi\) | |||||||
\(374\) | 15.8610 | 0.820154 | ||||||||
\(375\) | −7.74562 | − | 17.7484i | −0.399982 | − | 0.916523i | ||||
\(376\) | 1.32516 | 0.0683401 | ||||||||
\(377\) | 11.0774 | + | 1.75448i | 0.570514 | + | 0.0903605i | ||||
\(378\) | 9.76839 | + | 3.60660i | 0.502432 | + | 0.185504i | ||||
\(379\) | −10.0630 | − | 3.26966i | −0.516901 | − | 0.167951i | 0.0389376 | − | 0.999242i | \(-0.487603\pi\) |
−0.555838 | + | 0.831290i | \(0.687603\pi\) | |||||||
\(380\) | 3.68156 | + | 14.6454i | 0.188860 | + | 0.751291i | ||||
\(381\) | 2.95380 | − | 5.61309i | 0.151328 | − | 0.287567i | ||||
\(382\) | 3.94052 | − | 3.94052i | 0.201614 | − | 0.201614i | ||||
\(383\) | 0.124163 | + | 0.0632642i | 0.00634444 | + | 0.00323265i | 0.457160 | − | 0.889385i | \(-0.348867\pi\) |
−0.450815 | + | 0.892617i | \(0.648867\pi\) | |||||||
\(384\) | −0.248390 | − | 1.71415i | −0.0126756 | − | 0.0874747i | ||||
\(385\) | 1.61128 | + | 18.0162i | 0.0821187 | + | 0.918192i | ||||
\(386\) | 5.08842 | + | 7.00360i | 0.258994 | + | 0.356474i | ||||
\(387\) | −3.69966 | − | 28.1390i | −0.188064 | − | 1.43039i | ||||
\(388\) | −1.66415 | − | 10.5070i | −0.0844846 | − | 0.533415i | ||||
\(389\) | 28.0002 | − | 20.3434i | 1.41967 | − | 1.03145i | 0.427842 | − | 0.903854i | \(-0.359274\pi\) |
0.991826 | − | 0.127596i | \(-0.0407260\pi\) | |||||||
\(390\) | 7.44435 | + | 0.604745i | 0.376959 | + | 0.0306225i | ||||
\(391\) | 6.45042 | + | 4.68650i | 0.326212 | + | 0.237007i | ||||
\(392\) | 1.35476 | − | 2.65886i | 0.0684255 | − | 0.134293i | ||||
\(393\) | 4.27855 | + | 0.0563759i | 0.215824 | + | 0.00284379i | ||||
\(394\) | 16.8632 | − | 5.47918i | 0.849555 | − | 0.276037i | ||||
\(395\) | −1.62807 | + | 23.9470i | −0.0819170 | + | 1.20490i | ||||
\(396\) | 4.04431 | − | 11.4146i | 0.203234 | − | 0.573604i | ||||
\(397\) | 13.8341 | + | 27.1510i | 0.694315 | + | 1.36267i | 0.921331 | + | 0.388778i | \(0.127103\pi\) |
−0.227017 | + | 0.973891i | \(0.572897\pi\) | |||||||
\(398\) | −1.62057 | + | 10.2319i | −0.0812318 | + | 0.512877i | ||||
\(399\) | −16.7921 | + | 16.3553i | −0.840656 | + | 0.818790i | ||||
\(400\) | −4.95399 | − | 0.676734i | −0.247700 | − | 0.0338367i | ||||
\(401\) | − | 0.718503i | − | 0.0358803i | −0.999839 | − | 0.0179402i | \(-0.994289\pi\) | ||
0.999839 | − | 0.0179402i | \(-0.00571084\pi\) | |||||||
\(402\) | 1.51551 | + | 2.14479i | 0.0755868 | + | 0.106972i | ||||
\(403\) | 16.0252 | − | 8.16524i | 0.798272 | − | 0.406740i | ||||
\(404\) | −3.69594 | + | 11.3749i | −0.183880 | + | 0.565925i | ||||
\(405\) | −17.5859 | + | 9.78456i | −0.873848 | + | 0.486199i | ||||
\(406\) | −3.60148 | − | 11.0842i | −0.178738 | − | 0.550100i | ||||
\(407\) | 18.2627 | + | 18.2627i | 0.905248 | + | 0.905248i | ||||
\(408\) | −6.49977 | + | 2.01762i | −0.321787 | + | 0.0998871i | ||||
\(409\) | 1.73765 | − | 2.39167i | 0.0859211 | − | 0.118260i | −0.763893 | − | 0.645343i | \(-0.776714\pi\) |
0.849814 | + | 0.527083i | \(0.176714\pi\) | |||||||
\(410\) | −2.47117 | − | 1.47834i | −0.122042 | − | 0.0730099i | ||||
\(411\) | 1.33134 | − | 7.74396i | 0.0656701 | − | 0.381981i | ||||
\(412\) | 2.86516 | − | 0.453797i | 0.141156 | − | 0.0223570i | ||||
\(413\) | 9.34463 | − | 1.48004i | 0.459819 | − | 0.0728282i | ||||
\(414\) | 5.01745 | − | 3.44713i | 0.246594 | − | 0.169417i | ||||
\(415\) | 1.68280 | − | 7.35377i | 0.0826053 | − | 0.360982i | ||||
\(416\) | 1.13352 | − | 1.56015i | 0.0555753 | − | 0.0764928i | ||||
\(417\) | 2.94659 | + | 9.49243i | 0.144295 | + | 0.464846i | ||||
\(418\) | 19.2763 | + | 19.2763i | 0.942835 | + | 0.942835i | ||||
\(419\) | −0.976706 | − | 3.00599i | −0.0477152 | − | 0.146852i | 0.924360 | − | 0.381521i | \(-0.124600\pi\) |
−0.972075 | + | 0.234668i | \(0.924600\pi\) | |||||||
\(420\) | −2.95207 | − | 7.17800i | −0.144046 | − | 0.350250i | ||||
\(421\) | −3.57566 | + | 11.0047i | −0.174267 | + | 0.536338i | −0.999599 | − | 0.0283089i | \(-0.990988\pi\) |
0.825332 | + | 0.564647i | \(0.190988\pi\) | |||||||
\(422\) | −19.6694 | + | 10.0220i | −0.957489 | + | 0.487865i | ||||
\(423\) | −3.90880 | − | 0.725145i | −0.190052 | − | 0.0352578i | ||||
\(424\) | − | 10.9301i | − | 0.530812i | ||||||
\(425\) | 0.418753 | + | 19.6420i | 0.0203125 | + | 0.952775i | ||||
\(426\) | −0.661080 | − | 0.678734i | −0.0320294 | − | 0.0328848i | ||||
\(427\) | 0.168045 | − | 1.06100i | 0.00813228 | − | 0.0513452i | ||||
\(428\) | −6.67790 | − | 13.1061i | −0.322789 | − | 0.633508i | ||||
\(429\) | 12.0931 | − | 5.96237i | 0.583860 | − | 0.287866i | ||||
\(430\) | −13.5662 | + | 16.2312i | −0.654223 | + | 0.782737i | ||||
\(431\) | 24.8006 | − | 8.05821i | 1.19460 | − | 0.388150i | 0.356831 | − | 0.934169i | \(-0.383857\pi\) |
0.837773 | + | 0.546019i | \(0.183857\pi\) | |||||||
\(432\) | −0.205335 | + | 5.19209i | −0.00987916 | + | 0.249805i | ||||
\(433\) | 6.52479 | − | 12.8056i | 0.313561 | − | 0.615399i | −0.679409 | − | 0.733759i | \(-0.737764\pi\) |
0.992971 | + | 0.118361i | \(0.0377639\pi\) | |||||||
\(434\) | −15.1203 | − | 10.9856i | −0.725799 | − | 0.527324i | ||||
\(435\) | 20.7881 | + | 8.67207i | 0.996711 | + | 0.415794i | ||||
\(436\) | −10.1338 | + | 7.36263i | −0.485321 | + | 0.352606i | ||||
\(437\) | 2.14373 | + | 13.5350i | 0.102548 | + | 0.647466i | ||||
\(438\) | −10.3670 | − | 7.74281i | −0.495356 | − | 0.369966i | ||||
\(439\) | 2.49050 | + | 3.42787i | 0.118865 | + | 0.163604i | 0.864303 | − | 0.502971i | \(-0.167760\pi\) |
−0.745438 | + | 0.666575i | \(0.767760\pi\) | |||||||
\(440\) | −8.30180 | + | 3.54284i | −0.395773 | + | 0.168898i | ||||
\(441\) | −5.45105 | + | 7.10142i | −0.259574 | + | 0.338163i | ||||
\(442\) | −6.75156 | − | 3.44009i | −0.321139 | − | 0.163628i | ||||
\(443\) | −18.5118 | + | 18.5118i | −0.879523 | + | 0.879523i | −0.993485 | − | 0.113962i | \(-0.963646\pi\) |
0.113962 | + | 0.993485i | \(0.463646\pi\) | |||||||
\(444\) | −9.80709 | − | 5.16083i | −0.465424 | − | 0.244922i | ||||
\(445\) | −24.3597 | − | 20.3602i | −1.15476 | − | 0.965165i | ||||
\(446\) | −14.2556 | − | 4.63193i | −0.675022 | − | 0.219328i | ||||
\(447\) | 25.1737 | + | 8.54771i | 1.19067 | + | 0.404293i | ||||
\(448\) | −1.97930 | − | 0.313490i | −0.0935130 | − | 0.0148110i | ||||
\(449\) | 36.0779 | 1.70262 | 0.851311 | − | 0.524662i | \(-0.175808\pi\) | ||||
0.851311 | + | 0.524662i | \(0.175808\pi\) | |||||||
\(450\) | 14.2423 | + | 4.70703i | 0.671390 | + | 0.221891i | ||||
\(451\) | −5.19836 | −0.244781 | ||||||||
\(452\) | 14.3852 | + | 2.27840i | 0.676624 | + | 0.107167i | ||||
\(453\) | −37.2226 | − | 12.6389i | −1.74887 | − | 0.593828i | ||||
\(454\) | −3.63578 | − | 1.18134i | −0.170635 | − | 0.0554428i | ||||
\(455\) | 3.22166 | − | 8.01843i | 0.151034 | − | 0.375910i | ||||
\(456\) | −10.3514 | − | 5.44727i | −0.484749 | − | 0.255092i | ||||
\(457\) | 12.7889 | − | 12.7889i | 0.598241 | − | 0.598241i | −0.341604 | − | 0.939844i | \(-0.610970\pi\) |
0.939844 | + | 0.341604i | \(0.110970\pi\) | |||||||
\(458\) | 20.0649 | + | 10.2236i | 0.937570 | + | 0.477716i | ||||
\(459\) | 20.2762 | − | 2.39457i | 0.946414 | − | 0.111769i | ||||
\(460\) | −4.42302 | − | 1.01214i | −0.206224 | − | 0.0471913i | ||||
\(461\) | 10.1363 | + | 13.9514i | 0.472092 | + | 0.649779i | 0.976961 | − | 0.213417i | \(-0.0684592\pi\) |
−0.504869 | + | 0.863196i | \(0.668459\pi\) | |||||||
\(462\) | −11.2257 | − | 8.38410i | −0.522265 | − | 0.390064i | ||||
\(463\) | −0.946894 | − | 5.97845i | −0.0440059 | − | 0.277842i | 0.955867 | − | 0.293800i | \(-0.0949201\pi\) |
−0.999873 | + | 0.0159582i | \(0.994920\pi\) | |||||||
\(464\) | 4.70506 | − | 3.41843i | 0.218427 | − | 0.158696i | ||||
\(465\) | 35.1440 | − | 8.34380i | 1.62976 | − | 0.386934i | ||||
\(466\) | 13.9091 | + | 10.1055i | 0.644325 | + | 0.468130i | ||||
\(467\) | −0.901038 | + | 1.76839i | −0.0416951 | + | 0.0818311i | −0.910914 | − | 0.412596i | \(-0.864622\pi\) |
0.869219 | + | 0.494427i | \(0.164622\pi\) | |||||||
\(468\) | −4.19724 | + | 3.98166i | −0.194017 | + | 0.184053i | ||||
\(469\) | 2.88977 | − | 0.938944i | 0.133437 | − | 0.0433564i | ||||
\(470\) | 1.57508 | + | 2.50986i | 0.0726532 | + | 0.115771i | ||||
\(471\) | 0.947336 | − | 0.467073i | 0.0436509 | − | 0.0215216i | ||||
\(472\) | 2.14337 | + | 4.20661i | 0.0986568 | + | 0.193625i | ||||
\(473\) | −5.97392 | + | 37.7178i | −0.274681 | + | 1.73427i | ||||
\(474\) | −12.9722 | − | 13.3187i | −0.595835 | − | 0.611747i | ||||
\(475\) | −23.3624 | + | 24.3803i | −1.07194 | + | 1.11864i | ||||
\(476\) | 7.87416i | 0.360912i | ||||||||
\(477\) | −5.98107 | + | 32.2401i | −0.273854 | + | 1.47617i | ||||
\(478\) | −3.05839 | + | 1.55833i | −0.139887 | + | 0.0712762i | ||||
\(479\) | −10.9260 | + | 33.6268i | −0.499222 | + | 1.53645i | 0.311051 | + | 0.950393i | \(0.399319\pi\) |
−0.810273 | + | 0.586053i | \(0.800681\pi\) | |||||||
\(480\) | 2.95136 | − | 2.50788i | 0.134711 | − | 0.114468i | ||||
\(481\) | −3.81289 | − | 11.7349i | −0.173853 | − | 0.535064i | ||||
\(482\) | 6.05568 | + | 6.05568i | 0.275829 | + | 0.275829i | ||||
\(483\) | −2.08802 | − | 6.72655i | −0.0950081 | − | 0.306069i | ||||
\(484\) | −3.11192 | + | 4.28319i | −0.141451 | + | 0.194690i | ||||
\(485\) | 17.9224 | − | 15.6405i | 0.813812 | − | 0.710200i | ||||
\(486\) | 3.44685 | − | 15.2026i | 0.156352 | − | 0.689604i | ||||
\(487\) | 24.6253 | − | 3.90026i | 1.11588 | − | 0.176738i | 0.428855 | − | 0.903373i | \(-0.358917\pi\) |
0.687023 | + | 0.726636i | \(0.258917\pi\) | |||||||
\(488\) | 0.529448 | − | 0.0838563i | 0.0239670 | − | 0.00379599i | ||||
\(489\) | −6.95759 | + | 40.4700i | −0.314633 | + | 1.83012i | ||||
\(490\) | 6.64614 | − | 0.594399i | 0.300242 | − | 0.0268522i | ||||
\(491\) | 3.22682 | − | 4.44133i | 0.145624 | − | 0.200434i | −0.729974 | − | 0.683475i | \(-0.760468\pi\) |
0.875598 | + | 0.483041i | \(0.160468\pi\) | |||||||
\(492\) | 2.13026 | − | 0.661264i | 0.0960396 | − | 0.0298121i | ||||
\(493\) | −16.1587 | − | 16.1587i | −0.727750 | − | 0.727750i | ||||
\(494\) | −4.02451 | − | 12.3862i | −0.181071 | − | 0.557280i | ||||
\(495\) | 26.4263 | − | 5.90738i | 1.18777 | − | 0.265517i | ||||
\(496\) | 2.88201 | − | 8.86991i | 0.129406 | − | 0.398271i | ||||
\(497\) | −0.976739 | + | 0.497673i | −0.0438127 | + | 0.0223237i | ||||
\(498\) | 3.37211 | + | 4.77229i | 0.151108 | + | 0.213851i | ||||
\(499\) | − | 0.383555i | − | 0.0171703i | −0.999963 | − | 0.00858514i | \(-0.997267\pi\) | ||
0.999963 | − | 0.00858514i | \(-0.00273277\pi\) | |||||||
\(500\) | −4.60656 | − | 10.1872i | −0.206012 | − | 0.455587i | ||||
\(501\) | 4.22404 | − | 4.11417i | 0.188716 | − | 0.183808i | ||||
\(502\) | 1.86818 | − | 11.7952i | 0.0833810 | − | 0.526447i | ||||
\(503\) | −3.58816 | − | 7.04217i | −0.159988 | − | 0.313995i | 0.797072 | − | 0.603885i | \(-0.206381\pi\) |
−0.957060 | + | 0.289890i | \(0.906381\pi\) | |||||||
\(504\) | 5.66673 | + | 2.00779i | 0.252416 | + | 0.0894339i | ||||
\(505\) | −25.9371 | + | 6.52009i | −1.15419 | + | 0.290140i | ||||
\(506\) | −7.79006 | + | 2.53115i | −0.346311 | + | 0.112523i | ||||
\(507\) | 16.0739 | + | 0.211796i | 0.713866 | + | 0.00940619i | ||||
\(508\) | 1.66253 | − | 3.26290i | 0.0737630 | − | 0.144768i | ||||
\(509\) | −20.5303 | − | 14.9162i | −0.909990 | − | 0.661147i | 0.0310220 | − | 0.999519i | \(-0.490124\pi\) |
−0.941012 | + | 0.338372i | \(0.890124\pi\) | |||||||
\(510\) | −11.5470 | − | 9.91243i | −0.511309 | − | 0.438930i | ||||
\(511\) | −12.1116 | + | 8.79956i | −0.535784 | + | 0.389270i | ||||
\(512\) | −0.156434 | − | 0.987688i | −0.00691349 | − | 0.0436501i | ||||
\(513\) | 27.5524 | + | 21.7320i | 1.21647 | + | 0.959493i | ||||
\(514\) | 1.74029 | + | 2.39531i | 0.0767611 | + | 0.105653i | ||||
\(515\) | 4.26501 | + | 4.88724i | 0.187939 | + | 0.215357i | ||||
\(516\) | −2.34986 | − | 16.2165i | −0.103447 | − | 0.713892i | ||||
\(517\) | 4.76616 | + | 2.42848i | 0.209615 | + | 0.106804i | ||||
\(518\) | −9.06647 | + | 9.06647i | −0.398358 | + | 0.398358i | ||||
\(519\) | −1.04930 | + | 1.99398i | −0.0460591 | + | 0.0875258i | ||||
\(520\) | 4.30223 | + | 0.292492i | 0.188665 | + | 0.0128266i | ||||
\(521\) | 19.7375 | + | 6.41311i | 0.864716 | + | 0.280963i | 0.707597 | − | 0.706616i | \(-0.249779\pi\) |
0.157119 | + | 0.987580i | \(0.449779\pi\) | |||||||
\(522\) | −15.7490 | + | 7.50856i | −0.689314 | + | 0.328641i | ||||
\(523\) | 17.5234 | + | 2.77544i | 0.766246 | + | 0.121361i | 0.527309 | − | 0.849674i | \(-0.323201\pi\) |
0.238937 | + | 0.971035i | \(0.423201\pi\) | |||||||
\(524\) | 2.47044 | 0.107922 | ||||||||
\(525\) | 10.0863 | − | 14.1230i | 0.440203 | − | 0.616377i | ||||
\(526\) | 22.7216 | 0.990710 | ||||||||
\(527\) | −36.1948 | − | 5.73269i | −1.57667 | − | 0.249720i | ||||
\(528\) | 2.24795 | − | 6.62039i | 0.0978296 | − | 0.288116i | ||||
\(529\) | 17.9583 | + | 5.83501i | 0.780797 | + | 0.253696i | ||||
\(530\) | 20.7016 | − | 12.9914i | 0.899220 | − | 0.564313i | ||||
\(531\) | −4.02034 | − | 13.5810i | −0.174468 | − | 0.589365i | ||||
\(532\) | −9.56966 | + | 9.56966i | −0.414898 | + | 0.414898i | ||||
\(533\) | 2.21278 | + | 1.12747i | 0.0958463 | + | 0.0488361i | ||||
\(534\) | 24.3377 | − | 3.52666i | 1.05319 | − | 0.152614i | ||||
\(535\) | 16.8857 | − | 28.2258i | 0.730032 | − | 1.22031i | ||||
\(536\) | 0.891220 | + | 1.22666i | 0.0384948 | + | 0.0529836i | ||||
\(537\) | −23.9427 | + | 32.0574i | −1.03320 | + | 1.38338i | ||||
\(538\) | 1.88712 | + | 11.9148i | 0.0813595 | + | 0.513684i | ||||
\(539\) | 9.74519 | − | 7.08029i | 0.419755 | − | 0.304970i | ||||
\(540\) | −10.0779 | + | 5.78240i | −0.433683 | + | 0.248835i | ||||
\(541\) | 10.0053 | + | 7.26924i | 0.430160 | + | 0.312529i | 0.781713 | − | 0.623639i | \(-0.214346\pi\) |
−0.351553 | + | 0.936168i | \(0.614346\pi\) | |||||||
\(542\) | −3.74318 | + | 7.34640i | −0.160783 | + | 0.315555i | ||||
\(543\) | −0.370243 | + | 28.0989i | −0.0158886 | + | 1.20584i | ||||
\(544\) | −3.73697 | + | 1.21422i | −0.160221 | + | 0.0520591i | ||||
\(545\) | −25.9898 | − | 10.4422i | −1.11328 | − | 0.447296i | ||||
\(546\) | 2.96000 | + | 6.00358i | 0.126676 | + | 0.256930i | ||||
\(547\) | −12.0831 | − | 23.7144i | −0.516636 | − | 1.01396i | −0.991030 | − | 0.133643i | \(-0.957333\pi\) |
0.474393 | − | 0.880313i | \(-0.342667\pi\) | |||||||
\(548\) | 0.709676 | − | 4.48072i | 0.0303159 | − | 0.191407i | ||||
\(549\) | −1.60758 | − | 0.0423717i | −0.0686100 | − | 0.00180838i | ||||
\(550\) | −16.5776 | − | 11.5126i | −0.706872 | − | 0.490899i | ||||
\(551\) | − | 39.2761i | − | 1.67322i | ||||||
\(552\) | 2.87035 | − | 2.02820i | 0.122170 | − | 0.0863257i | ||||
\(553\) | −19.1664 | + | 9.76575i | −0.815036 | + | 0.415282i | ||||
\(554\) | −2.59742 | + | 7.99403i | −0.110354 | + | 0.339634i | ||||
\(555\) | −1.88204 | − | 24.7088i | −0.0798883 | − | 1.04883i | ||||
\(556\) | 1.77327 | + | 5.45757i | 0.0752034 | + | 0.231452i | ||||
\(557\) | −28.3195 | − | 28.3195i | −1.19993 | − | 1.19993i | −0.974186 | − | 0.225748i | \(-0.927517\pi\) |
−0.225748 | − | 0.974186i | \(-0.572483\pi\) | |||||||
\(558\) | −13.3547 | + | 24.5862i | −0.565349 | + | 1.04082i | ||||
\(559\) | 10.7235 | − | 14.7597i | 0.453556 | − | 0.624267i | ||||
\(560\) | −1.75883 | − | 4.12140i | −0.0743243 | − | 0.174161i | ||||
\(561\) | −27.0749 | − | 4.65471i | −1.14310 | − | 0.196522i | ||||
\(562\) | 0.223035 | − | 0.0353253i | 0.00940816 | − | 0.00149011i | ||||
\(563\) | 8.73181 | − | 1.38298i | 0.368002 | − | 0.0582858i | 0.0303051 | − | 0.999541i | \(-0.490352\pi\) |
0.337697 | + | 0.941255i | \(0.390352\pi\) | |||||||
\(564\) | −2.26206 | − | 0.388893i | −0.0952501 | − | 0.0163754i | ||||
\(565\) | 12.7829 | + | 29.9537i | 0.537782 | + | 1.26016i | ||||
\(566\) | 13.2327 | − | 18.2133i | 0.556214 | − | 0.765563i | ||||
\(567\) | −15.6163 | − | 9.02321i | −0.655823 | − | 0.378939i | ||||
\(568\) | −0.386804 | − | 0.386804i | −0.0162300 | − | 0.0162300i | ||||
\(569\) | −7.02196 | − | 21.6114i | −0.294376 | − | 0.905996i | −0.983430 | − | 0.181286i | \(-0.941974\pi\) |
0.689054 | − | 0.724710i | \(-0.258026\pi\) | |||||||
\(570\) | −1.98650 | − | 26.0802i | −0.0832053 | − | 1.09238i | ||||
\(571\) | −8.54837 | + | 26.3092i | −0.357738 | + | 1.10101i | 0.596666 | + | 0.802489i | \(0.296492\pi\) |
−0.954405 | + | 0.298516i | \(0.903508\pi\) | |||||||
\(572\) | 6.93599 | − | 3.53406i | 0.290008 | − | 0.147767i | ||||
\(573\) | −7.88291 | + | 5.57008i | −0.329313 | + | 0.232693i | ||||
\(574\) | − | 2.58071i | − | 0.107717i | ||||||
\(575\) | −3.34018 | − | 9.58022i | −0.139295 | − | 0.399523i | ||||
\(576\) | −0.0790447 | + | 2.99896i | −0.00329353 | + | 0.124957i | ||||
\(577\) | 1.72432 | − | 10.8869i | 0.0717842 | − | 0.453228i | −0.925448 | − | 0.378875i | \(-0.876311\pi\) |
0.997232 | − | 0.0743526i | \(-0.0236890\pi\) | |||||||
\(578\) | −0.708558 | − | 1.39062i | −0.0294721 | − | 0.0578423i | ||||
\(579\) | −6.63063 | − | 13.4485i | −0.275560 | − | 0.558901i | ||||
\(580\) | 12.0669 | + | 4.84826i | 0.501051 | + | 0.201313i | ||||
\(581\) | 6.42992 | − | 2.08921i | 0.266758 | − | 0.0866750i | ||||
\(582\) | −0.242762 | + | 18.4240i | −0.0100628 | + | 0.763699i | ||||
\(583\) | 20.0303 | − | 39.3117i | 0.829572 | − | 1.62813i | ||||
\(584\) | −6.04378 | − | 4.39106i | −0.250093 | − | 0.181704i | ||||
\(585\) | −12.5301 | − | 3.21699i | −0.518056 | − | 0.133006i | ||||
\(586\) | −9.05430 | + | 6.57833i | −0.374030 | + | 0.271749i | ||||
\(587\) | 3.29168 | + | 20.7828i | 0.135862 | + | 0.857800i | 0.957635 | + | 0.287985i | \(0.0929852\pi\) |
−0.821773 | + | 0.569815i | \(0.807015\pi\) | |||||||
\(588\) | −3.09287 | + | 4.14112i | −0.127548 | + | 0.170777i | ||||
\(589\) | −37.0213 | − | 50.9555i | −1.52544 | − | 2.09958i | ||||
\(590\) | −5.41972 | + | 9.05951i | −0.223126 | + | 0.372974i | ||||
\(591\) | −30.3935 | + | 4.40420i | −1.25022 | + | 0.181164i | ||||
\(592\) | −5.70089 | − | 2.90475i | −0.234305 | − | 0.119385i | ||||
\(593\) | −10.8276 | + | 10.8276i | −0.444635 | + | 0.444635i | −0.893566 | − | 0.448931i | \(-0.851805\pi\) |
0.448931 | + | 0.893566i | \(0.351805\pi\) | |||||||
\(594\) | −10.2535 | + | 18.2979i | −0.420706 | + | 0.750771i | ||||
\(595\) | −14.9137 | + | 9.35920i | −0.611401 | + | 0.383690i | ||||
\(596\) | 14.5978 | + | 4.74310i | 0.597948 | + | 0.194285i | ||||
\(597\) | 5.76905 | − | 16.9903i | 0.236112 | − | 0.695367i | ||||
\(598\) | 3.86497 | + | 0.612151i | 0.158050 | + | 0.0250327i | ||||
\(599\) | −20.9614 | −0.856459 | −0.428230 | − | 0.903670i | \(-0.640863\pi\) | ||||
−0.428230 | + | 0.903670i | \(0.640863\pi\) | |||||||
\(600\) | 8.25790 | + | 2.60903i | 0.337127 | + | 0.106513i | ||||
\(601\) | −24.3199 | −0.992029 | −0.496015 | − | 0.868314i | \(-0.665204\pi\) | ||||
−0.496015 | + | 0.868314i | \(0.665204\pi\) | |||||||
\(602\) | −18.7249 | − | 2.96573i | −0.763170 | − | 0.120874i | ||||
\(603\) | −1.95756 | − | 4.10593i | −0.0797181 | − | 0.167206i | ||||
\(604\) | −21.5847 | − | 7.01330i | −0.878270 | − | 0.285367i | ||||
\(605\) | −11.8112 | − | 0.802997i | −0.480192 | − | 0.0326465i | ||||
\(606\) | 9.64719 | − | 18.3325i | 0.391890 | − | 0.744706i | ||||
\(607\) | −12.8780 | + | 12.8780i | −0.522702 | + | 0.522702i | −0.918386 | − | 0.395685i | \(-0.870507\pi\) |
0.395685 | + | 0.918386i | \(0.370507\pi\) | |||||||
\(608\) | −6.01730 | − | 3.06597i | −0.244034 | − | 0.124341i | ||||
\(609\) | 2.89489 | + | 19.9778i | 0.117307 | + | 0.809539i | ||||
\(610\) | 0.788123 | + | 0.903103i | 0.0319102 | + | 0.0365656i | ||||
\(611\) | −1.50210 | − | 2.06746i | −0.0607683 | − | 0.0836404i | ||||
\(612\) | 11.6873 | − | 1.53662i | 0.472430 | − | 0.0621142i | ||||
\(613\) | 1.91504 | + | 12.0911i | 0.0773477 | + | 0.488354i | 0.995704 | + | 0.0925984i | \(0.0295173\pi\) |
−0.918356 | + | 0.395756i | \(0.870483\pi\) | |||||||
\(614\) | 8.01488 | − | 5.82315i | 0.323454 | − | 0.235003i | ||||
\(615\) | 3.78446 | + | 3.24874i | 0.152604 | + | 0.131002i | ||||
\(616\) | −6.54435 | − | 4.75475i | −0.263679 | − | 0.191574i | ||||
\(617\) | 11.6432 | − | 22.8510i | 0.468737 | − | 0.919948i | −0.528728 | − | 0.848791i | \(-0.677331\pi\) |
0.997465 | − | 0.0711569i | \(-0.0226691\pi\) | |||||||
\(618\) | −5.02403 | − | 0.0661986i | −0.202096 | − | 0.00266290i | ||||
\(619\) | −28.2577 | + | 9.18149i | −1.13577 | + | 0.369035i | −0.815767 | − | 0.578380i | \(-0.803685\pi\) |
−0.320006 | + | 0.947415i | \(0.603685\pi\) | |||||||
\(620\) | 20.2252 | − | 5.08421i | 0.812262 | − | 0.204187i | ||||
\(621\) | −9.57645 | + | 4.41182i | −0.384290 | + | 0.177040i | ||||
\(622\) | 5.51989 | + | 10.8334i | 0.221328 | + | 0.434380i | ||||
\(623\) | 4.45096 | − | 28.1023i | 0.178324 | − | 1.12589i | ||||
\(624\) | −2.39278 | + | 2.33054i | −0.0957878 | + | 0.0932964i | ||||
\(625\) | 13.8193 | − | 20.8333i | 0.552772 | − | 0.833333i | ||||
\(626\) | 24.5881i | 0.982739i | ||||||||
\(627\) | −27.2478 | − | 38.5618i | −1.08817 | − | 1.54001i | ||||
\(628\) | 0.543344 | − | 0.276848i | 0.0216818 | − | 0.0110474i | ||||
\(629\) | −7.76887 | + | 23.9101i | −0.309765 | + | 0.953359i | ||||
\(630\) | 2.93270 | + | 13.1192i | 0.116842 | + | 0.522683i | ||||
\(631\) | −0.858936 | − | 2.64353i | −0.0341937 | − | 0.105237i | 0.932503 | − | 0.361162i | \(-0.117620\pi\) |
−0.966697 | + | 0.255925i | \(0.917620\pi\) | |||||||
\(632\) | −7.59019 | − | 7.59019i | −0.301922 | − | 0.301922i | ||||
\(633\) | 36.5169 | − | 11.3354i | 1.45142 | − | 0.450540i | ||||
\(634\) | −6.13203 | + | 8.44002i | −0.243534 | + | 0.335196i | ||||
\(635\) | 8.15602 | − | 0.729435i | 0.323662 | − | 0.0289468i | ||||
\(636\) | −3.20763 | + | 18.6577i | −0.127191 | + | 0.739827i | ||||
\(637\) | −5.68387 | + | 0.900236i | −0.225203 | + | 0.0356687i | ||||
\(638\) | 23.1870 | − | 3.67247i | 0.917984 | − | 0.145394i | ||||
\(639\) | 0.929282 | + | 1.35261i | 0.0367618 | + | 0.0535084i | ||||
\(640\) | 1.68475 | − | 1.47025i | 0.0665954 | − | 0.0581167i | ||||
\(641\) | 18.3443 | − | 25.2487i | 0.724554 | − | 0.997264i | −0.274806 | − | 0.961500i | \(-0.588614\pi\) |
0.999360 | − | 0.0357639i | \(-0.0113864\pi\) | |||||||
\(642\) | 7.55300 | + | 24.3320i | 0.298093 | + | 0.960308i | ||||
\(643\) | 23.9422 | + | 23.9422i | 0.944188 | + | 0.944188i | 0.998523 | − | 0.0543345i | \(-0.0173037\pi\) |
−0.0543345 | + | 0.998523i | \(0.517304\pi\) | |||||||
\(644\) | −1.25658 | − | 3.86736i | −0.0495162 | − | 0.152395i | ||||
\(645\) | 27.9210 | − | 23.7255i | 1.09939 | − | 0.934191i | ||||
\(646\) | −8.20005 | + | 25.2372i | −0.322627 | + | 0.992942i | ||||
\(647\) | −0.500806 | + | 0.255174i | −0.0196887 | + | 0.0100319i | −0.463807 | − | 0.885936i | \(-0.653517\pi\) |
0.444118 | + | 0.895968i | \(0.353517\pi\) | |||||||
\(648\) | 1.87422 | − | 8.80269i | 0.0736264 | − | 0.345802i | ||||
\(649\) | 19.0576i | 0.748078i | ||||||||
\(650\) | 4.55963 | + | 8.49608i | 0.178843 | + | 0.333244i | ||||
\(651\) | 22.5866 | + | 23.1898i | 0.885239 | + | 0.908879i | ||||
\(652\) | −3.70877 | + | 23.4163i | −0.145247 | + | 0.917052i | ||||
\(653\) | −10.9835 | − | 21.5563i | −0.429816 | − | 0.843562i | −0.999761 | − | 0.0218786i | \(-0.993035\pi\) |
0.569944 | − | 0.821683i | \(-0.306965\pi\) | |||||||
\(654\) | 19.4592 | − | 9.59412i | 0.760913 | − | 0.375160i | ||||
\(655\) | 2.93635 | + | 4.67901i | 0.114733 | + | 0.182824i | ||||
\(656\) | 1.22477 | − | 0.397952i | 0.0478193 | − | 0.0155374i | ||||
\(657\) | 15.4243 | + | 16.2594i | 0.601760 | + | 0.634341i | ||||
\(658\) | −1.20561 | + | 2.36614i | −0.0469996 | + | 0.0922419i | ||||
\(659\) | 4.30697 | + | 3.12920i | 0.167776 | + | 0.121896i | 0.668505 | − | 0.743708i | \(-0.266935\pi\) |
−0.500729 | + | 0.865604i | \(0.666935\pi\) | |||||||
\(660\) | 15.2109 | − | 3.61135i | 0.592085 | − | 0.140571i | ||||
\(661\) | −10.9702 | + | 7.97029i | −0.426690 | + | 0.310008i | −0.780324 | − | 0.625376i | \(-0.784946\pi\) |
0.353634 | + | 0.935384i | \(0.384946\pi\) | |||||||
\(662\) | −2.89729 | − | 18.2928i | −0.112606 | − | 0.710969i | ||||
\(663\) | 10.5154 | + | 7.85363i | 0.408384 | + | 0.305010i | ||||
\(664\) | 1.98302 | + | 2.72939i | 0.0769561 | + | 0.105921i | ||||
\(665\) | −29.4994 | − | 6.75049i | −1.14394 | − | 0.261773i | ||||
\(666\) | 15.2262 | + | 11.6877i | 0.590005 | + | 0.452887i | ||||
\(667\) | 10.5149 | + | 5.35761i | 0.407138 | + | 0.207447i | ||||
\(668\) | 2.40724 | − | 2.40724i | 0.0931391 | − | 0.0931391i | ||||
\(669\) | 22.9751 | + | 12.0903i | 0.888269 | + | 0.467438i | ||||
\(670\) | −1.26399 | + | 3.14597i | −0.0488323 | + | 0.121540i | ||||
\(671\) | 2.05791 | + | 0.668657i | 0.0794449 | + | 0.0258132i | ||||
\(672\) | 3.28668 | + | 1.11599i | 0.126786 | + | 0.0430503i | ||||
\(673\) | 48.7489 | + | 7.72106i | 1.87913 | + | 0.297625i | 0.987800 | − | 0.155727i | \(-0.0497721\pi\) |
0.891331 | + | 0.453353i | \(0.149772\pi\) | |||||||
\(674\) | −11.8757 | −0.457435 | ||||||||
\(675\) | −22.9304 | − | 12.2146i | −0.882592 | − | 0.470140i | ||||
\(676\) | 9.28106 | 0.356964 | ||||||||
\(677\) | 3.02000 | + | 0.478321i | 0.116068 | + | 0.0183834i | 0.214198 | − | 0.976790i | \(-0.431286\pi\) |
−0.0981301 | + | 0.995174i | \(0.531286\pi\) | |||||||
\(678\) | −23.8871 | − | 8.11085i | −0.917377 | − | 0.311495i | ||||
\(679\) | 20.2749 | + | 6.58771i | 0.778078 | + | 0.252813i | ||||
\(680\) | −6.74147 | − | 5.63461i | −0.258524 | − | 0.216078i | ||||
\(681\) | 5.85962 | + | 3.08353i | 0.224541 | + | 0.118161i | ||||
\(682\) | 26.6205 | − | 26.6205i | 1.01935 | − | 1.01935i | ||||
\(683\) | 31.2546 | + | 15.9250i | 1.19592 | + | 0.609353i | 0.934532 | − | 0.355880i | \(-0.115819\pi\) |
0.261391 | + | 0.965233i | \(0.415819\pi\) | |||||||
\(684\) | 16.0713 | + | 12.3363i | 0.614502 | + | 0.471691i | ||||
\(685\) | 9.33000 | − | 3.98163i | 0.356481 | − | 0.152130i | ||||
\(686\) | 11.7603 | + | 16.1867i | 0.449011 | + | 0.618011i | ||||
\(687\) | −31.2506 | − | 23.3401i | −1.19229 | − | 0.890481i | ||||
\(688\) | −1.47993 | − | 9.34391i | −0.0564218 | − | 0.356233i | ||||
\(689\) | −17.0526 | + | 12.3894i | −0.649652 | + | 0.472000i | ||||
\(690\) | 7.25309 | + | 3.02575i | 0.276121 | + | 0.115188i | ||||
\(691\) | −2.34860 | − | 1.70636i | −0.0893451 | − | 0.0649130i | 0.542216 | − | 0.840239i | \(-0.317585\pi\) |
−0.631561 | + | 0.775326i | \(0.717585\pi\) | |||||||
\(692\) | −0.590593 | + | 1.15910i | −0.0224510 | + | 0.0440625i | ||||
\(693\) | 16.7018 | + | 17.6061i | 0.634450 | + | 0.668800i | ||||
\(694\) | −7.45357 | + | 2.42181i | −0.282934 | + | 0.0919307i | ||||
\(695\) | −8.22893 | + | 9.84542i | −0.312141 | + | 0.373458i | ||||
\(696\) | −9.03477 | + | 4.45449i | −0.342462 | + | 0.168847i | ||||
\(697\) | −2.29725 | − | 4.50861i | −0.0870146 | − | 0.170776i | ||||
\(698\) | 1.46705 | − | 9.26258i | 0.0555286 | − | 0.350594i | ||||
\(699\) | −20.7773 | − | 21.3321i | −0.785868 | − | 0.806854i | ||||
\(700\) | 5.71540 | − | 8.22992i | 0.216022 | − | 0.311062i | ||||
\(701\) | 5.87338i | 0.221834i | 0.993830 | + | 0.110917i | \(0.0353788\pi\) | ||||
−0.993830 | + | 0.110917i | \(0.964621\pi\) | |||||||
\(702\) | 8.33321 | − | 5.56498i | 0.314517 | − | 0.210037i | ||||
\(703\) | −38.5003 | + | 19.6169i | −1.45206 | + | 0.739864i | ||||
\(704\) | 1.24738 | − | 3.83905i | 0.0470126 | − | 0.144690i | ||||
\(705\) | −1.95212 | − | 4.74659i | −0.0735209 | − | 0.178767i | ||||
\(706\) | −4.50172 | − | 13.8549i | −0.169424 | − | 0.521435i | ||||
\(707\) | −16.9480 | − | 16.9480i | −0.637396 | − | 0.637396i | ||||
\(708\) | −2.42425 | − | 7.80973i | −0.0911089 | − | 0.293508i | ||||
\(709\) | 10.1538 | − | 13.9755i | 0.381335 | − | 0.524862i | −0.574603 | − | 0.818432i | \(-0.694843\pi\) |
0.955938 | + | 0.293570i | \(0.0948434\pi\) | |||||||
\(710\) | 0.272854 | − | 1.19236i | 0.0102400 | − | 0.0447486i | ||||
\(711\) | 18.2351 | + | 26.5420i | 0.683871 | + | 0.995403i | ||||
\(712\) | 14.0233 | − | 2.22107i | 0.525546 | − | 0.0832383i | ||||
\(713\) | 18.6917 | − | 2.96048i | 0.700011 | − | 0.110871i | ||||
\(714\) | 2.31082 | − | 13.4413i | 0.0864801 | − | 0.503026i | ||||
\(715\) | 14.9376 | + | 8.93620i | 0.558635 | + | 0.334195i | ||||
\(716\) | −13.5783 | + | 18.6889i | −0.507444 | + | 0.698437i | ||||
\(717\) | 5.67801 | − | 1.76254i | 0.212049 | − | 0.0658231i | ||||
\(718\) | 8.34797 | + | 8.34797i | 0.311544 | + | 0.311544i | ||||
\(719\) | 12.3239 | + | 37.9289i | 0.459602 | + | 1.41451i | 0.865646 | + | 0.500656i | \(0.166908\pi\) |
−0.406044 | + | 0.913854i | \(0.633092\pi\) | |||||||
\(720\) | −5.77398 | + | 3.41484i | −0.215184 | + | 0.127264i | ||||
\(721\) | −1.79640 | + | 5.52874i | −0.0669013 | + | 0.205901i | ||||
\(722\) | −23.7079 | + | 12.0798i | −0.882318 | + | 0.449563i | ||||
\(723\) | −8.55995 | − | 12.1143i | −0.318348 | − | 0.450534i | ||||
\(724\) | 16.2243i | 0.602972i | ||||||||
\(725\) | 5.16007 | + | 28.6174i | 0.191640 | + | 1.06282i | ||||
\(726\) | 6.56905 | − | 6.39818i | 0.243800 | − | 0.237459i | ||||
\(727\) | 3.26644 | − | 20.6235i | 0.121146 | − | 0.764883i | −0.850068 | − | 0.526673i | \(-0.823439\pi\) |
0.971214 | − | 0.238210i | \(-0.0765608\pi\) | |||||||
\(728\) | 1.75448 | + | 3.44335i | 0.0650252 | + | 0.127619i | ||||
\(729\) | −10.3453 | + | 24.9394i | −0.383158 | + | 0.923683i | ||||
\(730\) | 1.13307 | − | 16.6661i | 0.0419367 | − | 0.616841i | ||||
\(731\) | −35.3532 | + | 11.4869i | −1.30758 | + | 0.424860i | ||||
\(732\) | −0.928380 | − | 0.0122327i | −0.0343139 | − | 0.000452134i | ||||
\(733\) | 4.26895 | − | 8.37829i | 0.157677 | − | 0.309459i | −0.798630 | − | 0.601822i | \(-0.794442\pi\) |
0.956307 | + | 0.292363i | \(0.0944416\pi\) | |||||||
\(734\) | 2.18467 | + | 1.58725i | 0.0806375 | + | 0.0585866i | ||||
\(735\) | −11.5195 | − | 0.935788i | −0.424901 | − | 0.0345170i | ||||
\(736\) | 1.64163 | − | 1.19271i | 0.0605112 | − | 0.0439639i | ||||
\(737\) | 0.957451 | + | 6.04511i | 0.0352682 | + | 0.222674i | ||||
\(738\) | −3.83043 | + | 0.503619i | −0.141000 | + | 0.0185385i | ||||
\(739\) | 0.0758416 | + | 0.104387i | 0.00278988 | + | 0.00383994i | 0.810410 | − | 0.585864i | \(-0.199245\pi\) |
−0.807620 | + | 0.589704i | \(0.799245\pi\) | |||||||
\(740\) | −1.27446 | − | 14.2501i | −0.0468500 | − | 0.523843i | ||||
\(741\) | 3.23492 | + | 22.3243i | 0.118838 | + | 0.820105i | ||||
\(742\) | 19.5162 | + | 9.94400i | 0.716462 | + | 0.365056i | ||||
\(743\) | 7.88637 | − | 7.88637i | 0.289323 | − | 0.289323i | −0.547490 | − | 0.836812i | \(-0.684416\pi\) |
0.836812 | + | 0.547490i | \(0.184416\pi\) | |||||||
\(744\) | −7.52264 | + | 14.2952i | −0.275794 | + | 0.524088i | ||||
\(745\) | 8.36741 | + | 33.2858i | 0.306558 | + | 1.21950i | ||||
\(746\) | 20.3996 | + | 6.62824i | 0.746883 | + | 0.242677i | ||||
\(747\) | −4.35570 | − | 9.13594i | −0.159367 | − | 0.334267i | ||||
\(748\) | −15.6658 | − | 2.48121i | −0.572797 | − | 0.0907221i | ||||
\(749\) | 29.4771 | 1.07707 | ||||||||
\(750\) | 4.87380 | + | 18.7416i | 0.177966 | + | 0.684345i | ||||
\(751\) | 24.5205 | 0.894768 | 0.447384 | − | 0.894342i | \(-0.352356\pi\) | ||||
0.447384 | + | 0.894342i | \(0.352356\pi\) | |||||||
\(752\) | −1.30885 | − | 0.207301i | −0.0477288 | − | 0.00755950i | ||||
\(753\) | −6.65052 | + | 19.5863i | −0.242359 | + | 0.713764i | ||||
\(754\) | −10.6665 | − | 3.46577i | −0.388452 | − | 0.126216i | ||||
\(755\) | −12.3723 | − | 49.2175i | −0.450275 | − | 1.79121i | ||||
\(756\) | −9.08393 | − | 5.09031i | −0.330379 | − | 0.185133i | ||||
\(757\) | 13.4521 | − | 13.4521i | 0.488924 | − | 0.488924i | −0.419042 | − | 0.907967i | \(-0.637634\pi\) |
0.907967 | + | 0.419042i | \(0.137634\pi\) | |||||||
\(758\) | 9.42760 | + | 4.80360i | 0.342426 | + | 0.174475i | ||||
\(759\) | 14.0405 | − | 2.03455i | 0.509638 | − | 0.0738495i | ||||
\(760\) | −1.34519 | − | 15.0410i | −0.0487952 | − | 0.545593i | ||||
\(761\) | −9.74504 | − | 13.4129i | −0.353258 | − | 0.486217i | 0.594997 | − | 0.803728i | \(-0.297153\pi\) |
−0.948255 | + | 0.317510i | \(0.897153\pi\) | |||||||
\(762\) | −3.79552 | + | 5.08190i | −0.137497 | + | 0.184098i | ||||
\(763\) | −3.92679 | − | 24.7928i | −0.142159 | − | 0.897559i | ||||
\(764\) | −4.50844 | + | 3.27557i | −0.163109 | + | 0.118506i | ||||
\(765\) | 16.8018 | + | 20.3093i | 0.607470 | + | 0.734283i | ||||
\(766\) | −0.112738 | − | 0.0819087i | −0.00407338 | − | 0.00295948i | ||||
\(767\) | 4.13340 | − | 8.11226i | 0.149249 | − | 0.292917i | ||||
\(768\) | −0.0228202 | + | 1.73190i | −0.000823454 | + | 0.0624946i | ||||
\(769\) | −24.2927 | + | 7.89319i | −0.876018 | + | 0.284636i | −0.712303 | − | 0.701872i | \(-0.752348\pi\) |
−0.163715 | + | 0.986508i | \(0.552348\pi\) | |||||||
\(770\) | 1.22691 | − | 18.0465i | 0.0442149 | − | 0.650350i | ||||
\(771\) | −2.26775 | − | 4.59953i | −0.0816710 | − | 0.165648i | ||||
\(772\) | −3.93016 | − | 7.71338i | −0.141450 | − | 0.277611i | ||||
\(773\) | 1.33889 | − | 8.45340i | 0.0481564 | − | 0.304048i | −0.951840 | − | 0.306594i | \(-0.900811\pi\) |
0.999997 | + | 0.00254649i | \(0.000810574\pi\) | |||||||
\(774\) | −0.747794 | + | 28.3713i | −0.0268789 | + | 1.01979i | ||||
\(775\) | 33.6690 | + | 32.2634i | 1.20943 | + | 1.15894i | ||||
\(776\) | 10.6380i | 0.381883i | ||||||||
\(777\) | 18.1373 | − | 12.8158i | 0.650670 | − | 0.459765i | ||||
\(778\) | −30.8379 | + | 15.7127i | −1.10559 | + | 0.563327i | ||||
\(779\) | 2.68752 | − | 8.27133i | 0.0962904 | − | 0.296351i | ||||
\(780\) | −7.25810 | − | 1.76185i | −0.259882 | − | 0.0630845i | ||||
\(781\) | −0.682349 | − | 2.10006i | −0.0244164 | − | 0.0751459i | ||||
\(782\) | −5.63787 | − | 5.63787i | −0.201610 | − | 0.201610i | ||||
\(783\) | 29.0872 | − | 8.19536i | 1.03949 | − | 0.292878i | ||||
\(784\) | −1.75401 | + | 2.41419i | −0.0626434 | + | 0.0862212i | ||||
\(785\) | 1.17017 | + | 0.700035i | 0.0417650 | + | 0.0249853i | ||||
\(786\) | −4.21706 | − | 0.724995i | −0.150417 | − | 0.0258597i | ||||
\(787\) | 22.6192 | − | 3.58252i | 0.806286 | − | 0.127703i | 0.260333 | − | 0.965519i | \(-0.416168\pi\) |
0.545953 | + | 0.837816i | \(0.316168\pi\) | |||||||
\(788\) | −17.5127 | + | 2.77374i | −0.623864 | + | 0.0988103i | ||||
\(789\) | −38.7860 | − | 6.66808i | −1.38082 | − | 0.237390i | ||||
\(790\) | 5.35416 | − | 23.3975i | 0.190493 | − | 0.832446i | ||||
\(791\) | −17.1556 | + | 23.6127i | −0.609984 | + | 0.839571i | ||||
\(792\) | −5.78015 | + | 10.6414i | −0.205389 | + | 0.378124i | ||||
\(793\) | −0.730967 | − | 0.730967i | −0.0259574 | − | 0.0259574i | ||||
\(794\) | −9.41645 | − | 28.9808i | −0.334177 | − | 1.02849i | ||||
\(795\) | −39.1504 | + | 16.1013i | −1.38852 | + | 0.571053i | ||||
\(796\) | 3.20123 | − | 9.85239i | 0.113465 | − | 0.349209i | ||||
\(797\) | −38.3454 | + | 19.5380i | −1.35826 | + | 0.692070i | −0.973015 | − | 0.230742i | \(-0.925885\pi\) |
−0.385250 | + | 0.922812i | \(0.625885\pi\) | |||||||
\(798\) | 19.1439 | − | 13.5271i | 0.677686 | − | 0.478854i | ||||
\(799\) | 5.20694i | 0.184208i | ||||||||
\(800\) | 4.78713 | + | 1.44338i | 0.169251 | + | 0.0510311i | ||||
\(801\) | −42.5795 | − | 1.12229i | −1.50447 | − | 0.0396540i | ||||
\(802\) | −0.112399 | + | 0.709657i | −0.00396893 | + | 0.0250589i | ||||
\(803\) | −13.6904 | − | 26.8689i | −0.483123 | − | 0.948183i | ||||
\(804\) | −1.16133 | − | 2.35546i | −0.0409571 | − | 0.0830707i | ||||
\(805\) | 5.83121 | − | 6.97669i | 0.205523 | − | 0.245896i | ||||
\(806\) | −17.1052 | + | 5.55782i | −0.602506 | + | 0.195766i | ||||
\(807\) | 0.275288 | − | 20.8925i | 0.00969059 | − | 0.735450i | ||||
\(808\) | 5.42987 | − | 10.6567i | 0.191022 | − | 0.374902i | ||||
\(809\) | 36.2976 | + | 26.3717i | 1.27616 | + | 0.927181i | 0.999430 | − | 0.0337679i | \(-0.0107507\pi\) |
0.276726 | + | 0.960949i | \(0.410751\pi\) | |||||||
\(810\) | 18.9000 | − | 6.91306i | 0.664078 | − | 0.242900i | ||||
\(811\) | −6.93867 | + | 5.04124i | −0.243650 | + | 0.177022i | −0.702908 | − | 0.711281i | \(-0.748115\pi\) |
0.459258 | + | 0.888303i | \(0.348115\pi\) | |||||||
\(812\) | 1.82319 | + | 11.5111i | 0.0639813 | + | 0.403962i | ||||
\(813\) | 8.54556 | − | 11.4419i | 0.299706 | − | 0.401283i | ||||
\(814\) | −15.1809 | − | 20.8948i | −0.532092 | − | 0.732361i | ||||
\(815\) | −48.7587 | + | 20.8081i | −1.70794 | + | 0.728874i | ||||
\(816\) | 6.73537 | − | 0.975993i | 0.235785 | − | 0.0341666i | ||||
\(817\) | −56.9260 | − | 29.0052i | −1.99159 | − | 1.01476i | ||||
\(818\) | −2.09039 | + | 2.09039i | −0.0730889 | + | 0.0730889i | ||||
\(819\) | −3.29088 | − | 11.1168i | −0.114993 | − | 0.388453i | ||||
\(820\) | 2.20948 | + | 1.84671i | 0.0771584 | + | 0.0644900i | ||||
\(821\) | 21.1200 | + | 6.86230i | 0.737093 | + | 0.239496i | 0.653418 | − | 0.756997i | \(-0.273334\pi\) |
0.0836747 | + | 0.996493i | \(0.473334\pi\) | |||||||
\(822\) | −2.52637 | + | 7.44035i | −0.0881173 | + | 0.259512i | ||||
\(823\) | −0.969602 | − | 0.153570i | −0.0337982 | − | 0.00535311i | 0.139512 | − | 0.990220i | \(-0.455446\pi\) |
−0.173311 | + | 0.984867i | \(0.555446\pi\) | |||||||
\(824\) | −2.90088 | −0.101057 | ||||||||
\(825\) | 24.9196 | + | 24.5171i | 0.867588 | + | 0.853576i | ||||
\(826\) | −9.46111 | −0.329194 | ||||||||
\(827\) | 56.0204 | + | 8.87275i | 1.94802 | + | 0.308536i | 0.999954 | − | 0.00954211i | \(-0.00303740\pi\) |
0.948065 | + | 0.318078i | \(0.103037\pi\) | |||||||
\(828\) | −5.49492 | + | 2.61979i | −0.190962 | + | 0.0910440i | ||||
\(829\) | 8.48021 | + | 2.75539i | 0.294530 | + | 0.0956986i | 0.452555 | − | 0.891737i | \(-0.350513\pi\) |
−0.158025 | + | 0.987435i | \(0.550513\pi\) | |||||||
\(830\) | −2.81246 | + | 6.99998i | −0.0976220 | + | 0.242973i | ||||
\(831\) | 6.77980 | − | 12.8836i | 0.235189 | − | 0.446927i | ||||
\(832\) | −1.36362 | + | 1.36362i | −0.0472752 | + | 0.0472752i | ||||
\(833\) | 10.4474 | + | 5.32322i | 0.361981 | + | 0.184439i | ||||
\(834\) | −1.42537 | − | 9.83651i | −0.0493564 | − | 0.340610i | ||||
\(835\) | 7.42056 | + | 1.69808i | 0.256799 | + | 0.0587646i | ||||
\(836\) | −16.0235 | − | 22.0545i | −0.554184 | − | 0.762769i | ||||
\(837\) | 30.0118 | − | 38.0497i | 1.03736 | − | 1.31519i | ||||
\(838\) | 0.494441 | + | 3.12177i | 0.0170802 | + | 0.107840i | ||||
\(839\) | 24.2019 | − | 17.5837i | 0.835542 | − | 0.607057i | −0.0855799 | − | 0.996331i | \(-0.527274\pi\) |
0.921122 | + | 0.389275i | \(0.127274\pi\) | |||||||
\(840\) | 1.79284 | + | 7.55143i | 0.0618590 | + | 0.260549i | ||||
\(841\) | −3.90206 | − | 2.83501i | −0.134554 | − | 0.0977590i | ||||
\(842\) | 5.25316 | − | 10.3099i | 0.181036 | − | 0.355303i | ||||
\(843\) | −0.391089 | − | 0.00515315i | −0.0134698 | − | 0.000177484i | ||||
\(844\) | 20.9950 | − | 6.82168i | 0.722677 | − | 0.234812i | ||||
\(845\) | 11.0314 | + | 17.5783i | 0.379493 | + | 0.604713i | ||||
\(846\) | 3.74723 | + | 1.32769i | 0.128833 | + | 0.0456468i | ||||
\(847\) | −4.81667 | − | 9.45325i | −0.165503 | − | 0.324818i | ||||
\(848\) | −1.70984 | + | 10.7955i | −0.0587162 | + | 0.370720i | ||||
\(849\) | −27.9334 | + | 27.2069i | −0.958673 | + | 0.933738i | ||||
\(850\) | 2.65908 | − | 19.4656i | 0.0912057 | − | 0.667666i | ||||
\(851\) | − | 12.9831i | − | 0.445055i | ||||||
\(852\) | 0.546764 | + | 0.773793i | 0.0187318 | + | 0.0265097i | ||||
\(853\) | 13.8564 | − | 7.06020i | 0.474435 | − | 0.241737i | −0.200388 | − | 0.979717i | \(-0.564220\pi\) |
0.674823 | + | 0.737980i | \(0.264220\pi\) | |||||||
\(854\) | −0.331953 | + | 1.02165i | −0.0113592 | + | 0.0349600i | ||||
\(855\) | −4.26273 | + | 45.1020i | −0.145782 | + | 1.54246i | ||||
\(856\) | 4.54544 | + | 13.9894i | 0.155360 | + | 0.478149i | ||||
\(857\) | −14.2259 | − | 14.2259i | −0.485948 | − | 0.485948i | 0.421077 | − | 0.907025i | \(-0.361652\pi\) |
−0.907025 | + | 0.421077i | \(0.861652\pi\) | |||||||
\(858\) | −12.8769 | + | 3.99718i | −0.439611 | + | 0.136462i | ||||
\(859\) | −0.328571 | + | 0.452239i | −0.0112107 | + | 0.0154302i | −0.814586 | − | 0.580043i | \(-0.803036\pi\) |
0.803375 | + | 0.595474i | \(0.203036\pi\) | |||||||
\(860\) | 15.9383 | − | 13.9091i | 0.543493 | − | 0.474297i | ||||
\(861\) | −0.757357 | + | 4.40530i | −0.0258107 | + | 0.150132i | ||||
\(862\) | −25.7559 | + | 4.07933i | −0.877248 | + | 0.138942i | ||||
\(863\) | 8.78203 | − | 1.39094i | 0.298944 | − | 0.0473480i | −0.00516090 | − | 0.999987i | \(-0.501643\pi\) |
0.304105 | + | 0.952639i | \(0.401643\pi\) | |||||||
\(864\) | 1.01503 | − | 5.09605i | 0.0345320 | − | 0.173371i | ||||
\(865\) | −2.89732 | + | 0.259122i | −0.0985119 | + | 0.00881042i | ||||
\(866\) | −8.44770 | + | 11.6273i | −0.287064 | + | 0.395110i | ||||
\(867\) | 0.801411 | + | 2.58174i | 0.0272173 | + | 0.0876807i | ||||
\(868\) | 13.2157 | + | 13.2157i | 0.448569 | + | 0.448569i | ||||
\(869\) | −13.3896 | − | 41.2090i | −0.454212 | − | 1.39792i | ||||
\(870\) | −19.1755 | − | 11.8173i | −0.650111 | − | 0.400643i | ||||
\(871\) | 0.903562 | − | 2.78088i | 0.0306160 | − | 0.0942265i | ||||
\(872\) | 11.1608 | − | 5.68671i | 0.377952 | − | 0.192576i | ||||
\(873\) | 5.82125 | − | 31.3787i | 0.197020 | − | 1.06201i | ||||
\(874\) | − | 13.7037i | − | 0.463534i | ||||||
\(875\) | 22.3808 | + | 1.04293i | 0.756608 | + | 0.0352575i | ||||
\(876\) | 9.02815 | + | 9.26924i | 0.305033 | + | 0.313179i | ||||
\(877\) | −5.62983 | + | 35.5453i | −0.190106 | + | 1.20028i | 0.689396 | + | 0.724385i | \(0.257876\pi\) |
−0.879502 | + | 0.475896i | \(0.842124\pi\) | |||||||
\(878\) | −1.92360 | − | 3.77527i | −0.0649182 | − | 0.127409i | ||||
\(879\) | 17.3863 | − | 8.57212i | 0.586425 | − | 0.289130i | ||||
\(880\) | 8.75381 | − | 2.20054i | 0.295091 | − | 0.0741801i | ||||
\(881\) | 44.3078 | − | 14.3965i | 1.49277 | − | 0.485029i | 0.554868 | − | 0.831938i | \(-0.312769\pi\) |
0.937899 | + | 0.346909i | \(0.112769\pi\) | |||||||
\(882\) | 6.49484 | − | 6.16126i | 0.218693 | − | 0.207460i | ||||
\(883\) | −18.6174 | + | 36.5387i | −0.626525 | + | 1.22962i | 0.331640 | + | 0.943406i | \(0.392398\pi\) |
−0.958164 | + | 0.286218i | \(0.907602\pi\) | |||||||
\(884\) | 6.13028 | + | 4.45391i | 0.206184 | + | 0.149801i | ||||
\(885\) | 11.9102 | − | 13.8741i | 0.400356 | − | 0.466374i | ||||
\(886\) | 21.1798 | − | 15.3880i | 0.711549 | − | 0.516971i | ||||
\(887\) | 6.17999 | + | 39.0189i | 0.207504 | + | 1.31013i | 0.842954 | + | 0.537985i | \(0.180814\pi\) |
−0.635451 | + | 0.772141i | \(0.719186\pi\) | |||||||
\(888\) | 8.87902 | + | 6.63146i | 0.297960 | + | 0.222537i | ||||
\(889\) | 4.31353 | + | 5.93707i | 0.144671 | + | 0.199123i | ||||
\(890\) | 20.8748 | + | 23.9202i | 0.699724 | + | 0.801807i | ||||
\(891\) | 22.8726 | − | 28.2256i | 0.766262 | − | 0.945592i | ||||
\(892\) | 13.3555 | + | 6.80497i | 0.447175 | + | 0.227847i | ||||
\(893\) | −6.32813 | + | 6.32813i | −0.211763 | + | 0.211763i | ||||
\(894\) | −23.5266 | − | 12.3805i | −0.786846 | − | 0.414066i | ||||
\(895\) | −51.5359 | − | 3.50373i | −1.72265 | − | 0.117117i | ||||
\(896\) | 1.90589 | + | 0.619261i | 0.0636712 | + | 0.0206880i | ||||
\(897\) | −6.41789 | − | 2.17919i | −0.214287 | − | 0.0727612i | ||||
\(898\) | −35.6337 | − | 5.64383i | −1.18911 | − | 0.188337i | ||||
\(899\) | −54.2401 | −1.80901 | ||||||||
\(900\) | −13.3306 | − | 6.87707i | −0.444355 | − | 0.229236i | ||||
\(901\) | 42.9474 | 1.43079 | ||||||||
\(902\) | 5.13436 | + | 0.813203i | 0.170956 | + | 0.0270767i | ||||
\(903\) | 31.0932 | + | 10.5577i | 1.03472 | + | 0.351338i | ||||
\(904\) | −13.8517 | − | 4.50069i | −0.460701 | − | 0.149691i | ||||
\(905\) | −30.7289 | + | 19.2842i | −1.02146 | + | 0.641027i | ||||
\(906\) | 34.7871 | + | 18.3062i | 1.15572 | + | 0.608183i | ||||
\(907\) | −25.5617 | + | 25.5617i | −0.848763 | + | 0.848763i | −0.989979 | − | 0.141216i | \(-0.954899\pi\) |
0.141216 | + | 0.989979i | \(0.454899\pi\) | |||||||
\(908\) | 3.40621 | + | 1.73555i | 0.113039 | + | 0.0575963i | ||||
\(909\) | −21.8478 | + | 28.4625i | −0.724647 | + | 0.944043i | ||||
\(910\) | −4.43635 | + | 7.41573i | −0.147064 | + | 0.245829i | ||||
\(911\) | 1.31952 | + | 1.81616i | 0.0437177 | + | 0.0601722i | 0.830316 | − | 0.557293i | \(-0.188160\pi\) |
−0.786599 | + | 0.617465i | \(0.788160\pi\) | |||||||
\(912\) | 9.37181 | + | 6.99952i | 0.310332 | + | 0.231777i | ||||
\(913\) | 2.13039 | + | 13.4507i | 0.0705056 | + | 0.445155i | ||||
\(914\) | −14.6321 | + | 10.6308i | −0.483987 | + | 0.351637i | ||||
\(915\) | −1.08030 | − | 1.77289i | −0.0357136 | − | 0.0586100i | ||||
\(916\) | −18.2185 | − | 13.2365i | −0.601957 | − | 0.437347i | ||||
\(917\) | −2.24756 | + | 4.41109i | −0.0742210 | + | 0.145667i | ||||
\(918\) | −20.4012 | − | 0.806817i | −0.673340 | − | 0.0266289i | ||||
\(919\) | −17.3500 | + | 5.63735i | −0.572323 | + | 0.185959i | −0.580858 | − | 0.814005i | \(-0.697283\pi\) |
0.00853567 | + | 0.999964i | \(0.497283\pi\) | |||||||
\(920\) | 4.21023 | + | 1.69159i | 0.138807 | + | 0.0557701i | ||||
\(921\) | −15.3904 | + | 7.58805i | −0.507130 | + | 0.250035i | ||||
\(922\) | −7.82899 | − | 15.3653i | −0.257834 | − | 0.506028i | ||||
\(923\) | −0.165025 | + | 1.04192i | −0.00543185 | + | 0.0342953i | ||||
\(924\) | 9.77589 | + | 10.0370i | 0.321603 | + | 0.330192i | ||||
\(925\) | 25.4748 | − | 19.3514i | 0.837607 | − | 0.636270i | ||||
\(926\) | 6.05297i | 0.198913i | ||||||||
\(927\) | 8.55663 | + | 1.58739i | 0.281037 | + | 0.0521369i | ||||
\(928\) | −5.18189 | + | 2.64031i | −0.170104 | + | 0.0866723i | ||||
\(929\) | −14.4639 | + | 44.5152i | −0.474544 | + | 1.46050i | 0.372028 | + | 0.928221i | \(0.378662\pi\) |
−0.846572 | + | 0.532274i | \(0.821338\pi\) | |||||||
\(930\) | −36.0166 | + | 2.74334i | −1.18103 | + | 0.0899578i | ||||
\(931\) | 6.22755 | + | 19.1664i | 0.204100 | + | 0.628155i | ||||
\(932\) | −12.1570 | − | 12.1570i | −0.398215 | − | 0.398215i | ||||
\(933\) | −6.24324 | − | 20.1126i | −0.204395 | − | 0.658458i | ||||
\(934\) | 1.16658 | − | 1.60566i | 0.0381717 | − | 0.0525388i | ||||
\(935\) | −13.9208 | − | 32.6201i | −0.455260 | − | 1.06679i | ||||
\(936\) | 4.76843 | − | 3.27605i | 0.155861 | − | 0.107081i | ||||
\(937\) | −42.6595 | + | 6.75660i | −1.39362 | + | 0.220728i | −0.807679 | − | 0.589622i | \(-0.799277\pi\) |
−0.585945 | + | 0.810351i | \(0.699277\pi\) | |||||||
\(938\) | −3.00108 | + | 0.475324i | −0.0979886 | + | 0.0155199i | ||||
\(939\) | 7.21583 | − | 41.9721i | 0.235480 | − | 1.36971i | ||||
\(940\) | −1.16306 | − | 2.72536i | −0.0379349 | − | 0.0888914i | ||||
\(941\) | 15.3900 | − | 21.1825i | 0.501699 | − | 0.690529i | −0.480793 | − | 0.876834i | \(-0.659651\pi\) |
0.982492 | + | 0.186305i | \(0.0596513\pi\) | |||||||
\(942\) | −1.00874 | + | 0.313127i | −0.0328665 | + | 0.0102022i | ||||
\(943\) | 1.84778 | + | 1.84778i | 0.0601720 | + | 0.0601720i | ||||
\(944\) | −1.45893 | − | 4.49012i | −0.0474840 | − | 0.146141i | ||||
\(945\) | −1.15606 | − | 23.2553i | −0.0376067 | − | 0.756495i | ||||
\(946\) | 11.8007 | − | 36.3189i | 0.383675 | − | 1.18083i | ||||
\(947\) | 38.1664 | − | 19.4468i | 1.24024 | − | 0.631935i | 0.294127 | − | 0.955766i | \(-0.404971\pi\) |
0.946115 | + | 0.323831i | \(0.104971\pi\) | |||||||
\(948\) | 10.7290 | + | 15.1840i | 0.348463 | + | 0.493153i | ||||
\(949\) | 14.4066i | 0.467657i | ||||||||
\(950\) | 26.8887 | − | 20.4254i | 0.872385 | − | 0.662688i | ||||
\(951\) | 12.9443 | − | 12.6076i | 0.419748 | − | 0.408830i | ||||
\(952\) | 1.23179 | − | 7.77722i | 0.0399226 | − | 0.252061i | ||||
\(953\) | −0.380531 | − | 0.746833i | −0.0123266 | − | 0.0241923i | 0.884761 | − | 0.466045i | \(-0.154321\pi\) |
−0.897088 | + | 0.441853i | \(0.854321\pi\) | |||||||
\(954\) | 10.9509 | − | 30.9076i | 0.354549 | − | 1.00067i | ||||
\(955\) | −11.5626 | − | 4.64565i | −0.374158 | − | 0.150330i | ||||
\(956\) | 3.26451 | − | 1.06070i | 0.105582 | − | 0.0343056i | ||||
\(957\) | −40.6582 | − | 0.535729i | −1.31429 | − | 0.0173177i | ||||
\(958\) | 16.0519 | − | 31.5036i | 0.518612 | − | 1.01783i | ||||
\(959\) | 7.35489 | + | 5.34364i | 0.237502 | + | 0.172555i | ||||
\(960\) | −3.30735 | + | 2.01531i | −0.106744 | + | 0.0650438i | ||||
\(961\) | −45.2897 | + | 32.9049i | −1.46096 | + | 1.06145i | ||||
\(962\) | 1.93021 | + | 12.1869i | 0.0622324 | + | 0.392920i | ||||
\(963\) | −5.75237 | − | 43.7515i | −0.185367 | − | 1.40987i | ||||
\(964\) | −5.03381 | − | 6.92845i | −0.162128 | − | 0.223150i | ||||
\(965\) | 9.93778 | − | 16.6118i | 0.319908 | − | 0.534754i | ||||
\(966\) | 1.01005 | + | 6.97037i | 0.0324977 | + | 0.224268i | ||||
\(967\) | 23.5300 | + | 11.9891i | 0.756674 | + | 0.385545i | 0.789368 | − | 0.613921i | \(-0.210409\pi\) |
−0.0326938 | + | 0.999465i | \(0.510409\pi\) | |||||||
\(968\) | 3.74364 | − | 3.74364i | 0.120325 | − | 0.120325i | ||||
\(969\) | 21.4038 | − | 40.6736i | 0.687591 | − | 1.30662i | ||||
\(970\) | −20.1484 | + | 12.6443i | −0.646927 | + | 0.405984i | ||||
\(971\) | −17.8859 | − | 5.81148i | −0.573985 | − | 0.186499i | 0.00761891 | − | 0.999971i | \(-0.497575\pi\) |
−0.581604 | + | 0.813472i | \(0.697575\pi\) | |||||||
\(972\) | −5.78262 | + | 14.4762i | −0.185478 | + | 0.464325i | ||||
\(973\) | −11.3580 | − | 1.79894i | −0.364122 | − | 0.0576713i | ||||
\(974\) | −24.9322 | −0.798881 | ||||||||
\(975\) | −5.28999 | − | 15.8410i | −0.169415 | − | 0.507317i | ||||
\(976\) | −0.536047 | −0.0171585 | ||||||||
\(977\) | 30.0169 | + | 4.75421i | 0.960326 | + | 0.152101i | 0.616867 | − | 0.787067i | \(-0.288401\pi\) |
0.343459 | + | 0.939168i | \(0.388401\pi\) | |||||||
\(978\) | 13.2028 | − | 38.8833i | 0.422180 | − | 1.24335i | ||||
\(979\) | 54.5073 | + | 17.7105i | 1.74206 | + | 0.566030i | ||||
\(980\) | −6.65730 | − | 0.452605i | −0.212660 | − | 0.0144579i | ||||
\(981\) | −36.0325 | + | 10.6666i | −1.15043 | + | 0.340558i | ||||
\(982\) | −3.88187 | + | 3.88187i | −0.123875 | + | 0.123875i | ||||
\(983\) | −2.70453 | − | 1.37803i | −0.0862611 | − | 0.0439522i | 0.410328 | − | 0.911938i | \(-0.365414\pi\) |
−0.496589 | + | 0.867986i | \(0.665414\pi\) | |||||||
\(984\) | −2.20748 | + | 0.319876i | −0.0703719 | + | 0.0101973i | ||||
\(985\) | −26.0690 | − | 29.8722i | −0.830627 | − | 0.951808i | ||||
\(986\) | 13.4320 | + | 18.4875i | 0.427761 | + | 0.588762i | ||||
\(987\) | 2.75238 | − | 3.68522i | 0.0876091 | − | 0.117302i | ||||
\(988\) | 2.03734 | + | 12.8632i | 0.0648163 | + | 0.409234i | ||||
\(989\) | 15.5304 | − | 11.2835i | 0.493839 | − | 0.358795i | ||||
\(990\) | −27.0250 | + | 1.70067i | −0.858911 | + | 0.0540508i | ||||
\(991\) | −13.3909 | − | 9.72904i | −0.425375 | − | 0.309053i | 0.354422 | − | 0.935086i | \(-0.384678\pi\) |
−0.779797 | + | 0.626032i | \(0.784678\pi\) | |||||||
\(992\) | −4.23408 | + | 8.30986i | −0.134432 | + | 0.263838i | ||||
\(993\) | −0.422649 | + | 32.0762i | −0.0134123 | + | 1.01791i | ||||
\(994\) | 1.04257 | − | 0.338750i | 0.0330682 | − | 0.0107445i | ||||
\(995\) | 22.4654 | − | 5.64736i | 0.712201 | − | 0.179033i | ||||
\(996\) | −2.58404 | − | 5.24105i | −0.0818785 | − | 0.166069i | ||||
\(997\) | −10.0986 | − | 19.8197i | −0.319827 | − | 0.627697i | 0.673988 | − | 0.738742i | \(-0.264580\pi\) |
−0.993815 | + | 0.111046i | \(0.964580\pi\) | |||||||
\(998\) | −0.0600012 | + | 0.378833i | −0.00189931 | + | 0.0119917i | ||||
\(999\) | −22.5614 | − | 24.4193i | −0.713810 | − | 0.772594i |
(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 | 150.2.l.a.23.5 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.23.9 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.c.407.8 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.407.3 | 80 | |||
5.4 | even | 2 | 750.2.l.b.593.6 | 80 | |||
15.2 | even | 4 | 750.2.l.c.407.2 | 80 | |||
15.8 | even | 4 | 750.2.l.a.407.9 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.593.2 | 80 | |||
25.9 | even | 10 | 750.2.l.a.293.9 | 80 | |||
25.12 | odd | 20 | inner | 150.2.l.a.137.9 | yes | 80 | |
25.13 | odd | 20 | 750.2.l.b.707.2 | 80 | |||
25.16 | even | 5 | 750.2.l.c.293.2 | 80 | |||
75.38 | even | 20 | 750.2.l.b.707.6 | 80 | |||
75.41 | odd | 10 | 750.2.l.c.293.8 | 80 | |||
75.59 | odd | 10 | 750.2.l.a.293.3 | 80 | |||
75.62 | even | 20 | inner | 150.2.l.a.137.5 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.23.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.23.9 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.137.5 | yes | 80 | 75.62 | even | 20 | inner | |
150.2.l.a.137.9 | yes | 80 | 25.12 | odd | 20 | inner | |
750.2.l.a.293.3 | 80 | 75.59 | odd | 10 | |||
750.2.l.a.293.9 | 80 | 25.9 | even | 10 | |||
750.2.l.a.407.3 | 80 | 5.3 | odd | 4 | |||
750.2.l.a.407.9 | 80 | 15.8 | even | 4 | |||
750.2.l.b.593.2 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.593.6 | 80 | 5.4 | even | 2 | |||
750.2.l.b.707.2 | 80 | 25.13 | odd | 20 | |||
750.2.l.b.707.6 | 80 | 75.38 | even | 20 | |||
750.2.l.c.293.2 | 80 | 25.16 | even | 5 | |||
750.2.l.c.293.8 | 80 | 75.41 | odd | 10 | |||
750.2.l.c.407.2 | 80 | 15.2 | even | 4 | |||
750.2.l.c.407.8 | 80 | 5.2 | odd | 4 |