Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(4,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([55, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.u (of order \(110\), degree \(40\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(2560\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{110})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{110}]$ |
Embedding invariants
Embedding label | 4.18 | ||
Character | \(\chi\) | \(=\) | 605.4 |
Dual form | 605.2.u.a.454.18 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0843987 | + | 1.47596i | −0.0596789 | + | 1.04366i | 0.821296 | + | 0.570502i | \(0.193251\pi\) |
−0.880975 | + | 0.473162i | \(0.843112\pi\) | |||||||
\(3\) | −1.88212 | − | 0.611538i | −1.08664 | − | 0.353072i | −0.289695 | − | 0.957119i | \(-0.593554\pi\) |
−0.796948 | + | 0.604047i | \(0.793554\pi\) | |||||||
\(4\) | −0.184383 | − | 0.0211560i | −0.0921915 | − | 0.0105780i | ||||
\(5\) | −1.88871 | + | 1.19699i | −0.844656 | + | 0.535310i | ||||
\(6\) | 1.06146 | − | 2.72633i | 0.433338 | − | 1.11302i | ||||
\(7\) | 1.72780 | − | 4.08846i | 0.653046 | − | 1.54529i | −0.174962 | − | 0.984575i | \(-0.555980\pi\) |
0.828008 | − | 0.560717i | \(-0.189474\pi\) | |||||||
\(8\) | −0.457404 | + | 2.64309i | −0.161717 | + | 0.934473i | ||||
\(9\) | 0.741350 | + | 0.538623i | 0.247117 | + | 0.179541i | ||||
\(10\) | −1.60731 | − | 2.88869i | −0.508275 | − | 0.913484i | ||||
\(11\) | 3.04141 | + | 1.32280i | 0.917020 | + | 0.398840i | ||||
\(12\) | 0.334093 | + | 0.152575i | 0.0964444 | + | 0.0440447i | ||||
\(13\) | 1.63135 | + | 2.88875i | 0.452456 | + | 0.801196i | 0.999352 | − | 0.0360049i | \(-0.0114632\pi\) |
−0.546895 | + | 0.837201i | \(0.684190\pi\) | |||||||
\(14\) | 5.88859 | + | 2.89523i | 1.57379 | + | 0.773782i | ||||
\(15\) | 4.28678 | − | 1.09786i | 1.10684 | − | 0.283466i | ||||
\(16\) | −4.22404 | − | 0.982258i | −1.05601 | − | 0.245564i | ||||
\(17\) | 0.256166 | + | 0.717954i | 0.0621293 | + | 0.174129i | 0.968876 | − | 0.247546i | \(-0.0796241\pi\) |
−0.906747 | + | 0.421675i | \(0.861442\pi\) | |||||||
\(18\) | −0.857556 | + | 1.04875i | −0.202128 | + | 0.247192i | ||||
\(19\) | −0.0639439 | + | 2.23833i | −0.0146697 | + | 0.513507i | 0.958720 | + | 0.284352i | \(0.0917783\pi\) |
−0.973390 | + | 0.229156i | \(0.926403\pi\) | |||||||
\(20\) | 0.373569 | − | 0.180747i | 0.0835326 | − | 0.0404162i | ||||
\(21\) | −5.75217 | + | 6.63836i | −1.25523 | + | 1.44861i | ||||
\(22\) | −2.20910 | + | 4.37737i | −0.470982 | + | 0.933259i | ||||
\(23\) | −4.43018 | + | 3.83878i | −0.923757 | + | 0.800440i | −0.980209 | − | 0.197965i | \(-0.936567\pi\) |
0.0564518 | + | 0.998405i | \(0.482021\pi\) | |||||||
\(24\) | 2.47724 | − | 4.69489i | 0.505664 | − | 0.958341i | ||||
\(25\) | 2.13444 | − | 4.52152i | 0.426887 | − | 0.904305i | ||||
\(26\) | −4.40138 | + | 2.16401i | −0.863182 | + | 0.424398i | ||||
\(27\) | 2.42372 | + | 3.33597i | 0.466445 | + | 0.642007i | ||||
\(28\) | −0.405072 | + | 0.717289i | −0.0765513 | + | 0.135555i | ||||
\(29\) | −1.24879 | − | 1.82630i | −0.231895 | − | 0.339136i | 0.691920 | − | 0.721974i | \(-0.256765\pi\) |
−0.923815 | + | 0.382838i | \(0.874947\pi\) | |||||||
\(30\) | 1.25860 | + | 6.41979i | 0.229789 | + | 1.17209i | ||||
\(31\) | −2.09084 | + | 10.3187i | −0.375526 | + | 1.85330i | 0.131432 | + | 0.991325i | \(0.458043\pi\) |
−0.506958 | + | 0.861971i | \(0.669230\pi\) | |||||||
\(32\) | 0.294856 | − | 1.00419i | 0.0521236 | − | 0.177517i | ||||
\(33\) | −4.91536 | − | 4.34962i | −0.855655 | − | 0.757171i | ||||
\(34\) | −1.08129 | + | 0.317497i | −0.185441 | + | 0.0544502i | ||||
\(35\) | 1.63053 | + | 9.79006i | 0.275611 | + | 1.65482i | ||||
\(36\) | −0.125297 | − | 0.114997i | −0.0208829 | − | 0.0191661i | ||||
\(37\) | −2.93836 | − | 3.20156i | −0.483064 | − | 0.526333i | 0.446604 | − | 0.894732i | \(-0.352633\pi\) |
−0.929668 | + | 0.368399i | \(0.879906\pi\) | |||||||
\(38\) | −3.29829 | − | 0.283291i | −0.535054 | − | 0.0459558i | ||||
\(39\) | −1.30382 | − | 6.43462i | −0.208779 | − | 1.03036i | ||||
\(40\) | −2.29984 | − | 5.53953i | −0.363637 | − | 0.875877i | ||||
\(41\) | 1.34688 | + | 5.12405i | 0.210347 | + | 0.800242i | 0.985671 | + | 0.168678i | \(0.0539500\pi\) |
−0.775325 | + | 0.631563i | \(0.782414\pi\) | |||||||
\(42\) | −9.31250 | − | 9.05027i | −1.43695 | − | 1.39649i | ||||
\(43\) | 8.07712 | − | 1.16131i | 1.23175 | − | 0.177099i | 0.504463 | − | 0.863433i | \(-0.331690\pi\) |
0.727286 | + | 0.686334i | \(0.240781\pi\) | |||||||
\(44\) | −0.532799 | − | 0.308247i | −0.0803225 | − | 0.0464699i | ||||
\(45\) | −2.04492 | − | 0.129913i | −0.304839 | − | 0.0193663i | ||||
\(46\) | −5.29199 | − | 6.86278i | −0.780262 | − | 1.01186i | ||||
\(47\) | −1.73868 | − | 2.12632i | −0.253613 | − | 0.310156i | 0.631643 | − | 0.775259i | \(-0.282381\pi\) |
−0.885256 | + | 0.465104i | \(0.846017\pi\) | |||||||
\(48\) | 7.34946 | + | 4.43189i | 1.06080 | + | 0.639688i | ||||
\(49\) | −8.85165 | − | 9.10813i | −1.26452 | − | 1.30116i | ||||
\(50\) | 6.49346 | + | 3.53196i | 0.918314 | + | 0.499495i | ||||
\(51\) | −0.0430782 | − | 1.50793i | −0.00603215 | − | 0.211153i | ||||
\(52\) | −0.239679 | − | 0.567150i | −0.0332376 | − | 0.0786495i | ||||
\(53\) | 2.89447 | + | 12.4472i | 0.397587 | + | 1.70976i | 0.665573 | + | 0.746333i | \(0.268187\pi\) |
−0.267986 | + | 0.963423i | \(0.586358\pi\) | |||||||
\(54\) | −5.12833 | + | 3.29577i | −0.697877 | + | 0.448498i | ||||
\(55\) | −7.32772 | + | 1.14215i | −0.988070 | + | 0.154007i | ||||
\(56\) | 10.0159 | + | 6.43680i | 1.33842 | + | 0.860153i | ||||
\(57\) | 1.48917 | − | 4.17370i | 0.197246 | − | 0.552820i | ||||
\(58\) | 2.80095 | − | 1.68904i | 0.367783 | − | 0.221781i | ||||
\(59\) | −2.62674 | + | 9.99316i | −0.341973 | + | 1.30100i | 0.544712 | + | 0.838623i | \(0.316639\pi\) |
−0.886684 | + | 0.462375i | \(0.846997\pi\) | |||||||
\(60\) | −0.813636 | + | 0.111736i | −0.105040 | + | 0.0144250i | ||||
\(61\) | −5.28040 | + | 0.301944i | −0.676086 | + | 0.0386600i | −0.391760 | − | 0.920068i | \(-0.628134\pi\) |
−0.284326 | + | 0.958728i | \(0.591770\pi\) | |||||||
\(62\) | −15.0536 | − | 3.95689i | −1.91181 | − | 0.502526i | ||||
\(63\) | 3.48304 | − | 2.10035i | 0.438822 | − | 0.264619i | ||||
\(64\) | −6.71181 | − | 2.39477i | −0.838977 | − | 0.299346i | ||||
\(65\) | −6.53896 | − | 3.50330i | −0.811058 | − | 0.434531i | ||||
\(66\) | 6.83473 | − | 6.88779i | 0.841297 | − | 0.847829i | ||||
\(67\) | 1.10724 | + | 1.72289i | 0.135270 | + | 0.210485i | 0.902280 | − | 0.431151i | \(-0.141892\pi\) |
−0.767009 | + | 0.641636i | \(0.778256\pi\) | |||||||
\(68\) | −0.0320435 | − | 0.137798i | −0.00388585 | − | 0.0167105i | ||||
\(69\) | 10.6857 | − | 4.51582i | 1.28641 | − | 0.543640i | ||||
\(70\) | −14.5874 | + | 1.58034i | −1.74353 | + | 0.188887i | ||||
\(71\) | −0.896626 | + | 1.16276i | −0.106410 | + | 0.137995i | −0.842096 | − | 0.539328i | \(-0.818678\pi\) |
0.735686 | + | 0.677323i | \(0.236860\pi\) | |||||||
\(72\) | −1.76272 | + | 1.71309i | −0.207739 | + | 0.201889i | ||||
\(73\) | 2.41276 | + | 1.45495i | 0.282392 | + | 0.170289i | 0.650526 | − | 0.759484i | \(-0.274549\pi\) |
−0.368134 | + | 0.929773i | \(0.620003\pi\) | |||||||
\(74\) | 4.97338 | − | 4.06671i | 0.578144 | − | 0.472746i | ||||
\(75\) | −6.78235 | + | 7.20477i | −0.783159 | + | 0.831935i | ||||
\(76\) | 0.0591441 | − | 0.411357i | 0.00678430 | − | 0.0471858i | ||||
\(77\) | 10.6632 | − | 10.1492i | 1.21518 | − | 1.15660i | ||||
\(78\) | 9.60731 | − | 1.38132i | 1.08781 | − | 0.156404i | ||||
\(79\) | 2.00430 | − | 2.06237i | 0.225501 | − | 0.232035i | −0.594934 | − | 0.803774i | \(-0.702822\pi\) |
0.820435 | + | 0.571739i | \(0.193731\pi\) | |||||||
\(80\) | 9.15372 | − | 3.20093i | 1.02342 | − | 0.357874i | ||||
\(81\) | −3.37118 | − | 10.3754i | −0.374575 | − | 1.15282i | ||||
\(82\) | −7.67658 | + | 1.55548i | −0.847737 | + | 0.171774i | ||||
\(83\) | 17.1257 | + | 1.47092i | 1.87979 | + | 0.161455i | 0.968286 | − | 0.249845i | \(-0.0803795\pi\) |
0.911500 | + | 0.411300i | \(0.134925\pi\) | |||||||
\(84\) | 1.20104 | − | 1.10231i | 0.131045 | − | 0.120272i | ||||
\(85\) | −1.34321 | − | 1.04938i | −0.145691 | − | 0.113821i | ||||
\(86\) | 1.03236 | + | 12.0195i | 0.111322 | + | 1.29610i | ||||
\(87\) | 1.23353 | + | 4.20100i | 0.132248 | + | 0.450395i | ||||
\(88\) | −4.88744 | + | 7.43366i | −0.521003 | + | 0.792431i | ||||
\(89\) | 0.227239 | + | 0.0667232i | 0.0240872 | + | 0.00707265i | 0.293754 | − | 0.955881i | \(-0.405095\pi\) |
−0.269667 | + | 0.962954i | \(0.586914\pi\) | |||||||
\(90\) | 0.364335 | − | 3.00726i | 0.0384043 | − | 0.316993i | ||||
\(91\) | 14.6292 | − | 1.67854i | 1.53356 | − | 0.175959i | ||||
\(92\) | 0.898063 | − | 0.614080i | 0.0936296 | − | 0.0640223i | ||||
\(93\) | 10.2455 | − | 18.1424i | 1.06241 | − | 1.88128i | ||||
\(94\) | 3.28511 | − | 2.38677i | 0.338834 | − | 0.246177i | ||||
\(95\) | −2.55848 | − | 4.30409i | −0.262495 | − | 0.441590i | ||||
\(96\) | −1.16905 | + | 1.70968i | −0.119316 | + | 0.174494i | ||||
\(97\) | 10.2449 | + | 5.40570i | 1.04022 | + | 0.548866i | 0.897553 | − | 0.440906i | \(-0.145343\pi\) |
0.142663 | + | 0.989771i | \(0.454434\pi\) | |||||||
\(98\) | 14.1903 | − | 12.2960i | 1.43344 | − | 1.24208i | ||||
\(99\) | 1.54226 | + | 2.61883i | 0.155003 | + | 0.263203i | ||||
\(100\) | −0.489211 | + | 0.788536i | −0.0489211 | + | 0.0788536i | ||||
\(101\) | −3.84955 | − | 9.88748i | −0.383044 | − | 0.983841i | −0.982967 | − | 0.183783i | \(-0.941166\pi\) |
0.599923 | − | 0.800058i | \(-0.295198\pi\) | |||||||
\(102\) | 2.22929 | + | 0.0636857i | 0.220733 | + | 0.00630582i | ||||
\(103\) | −4.01515 | + | 4.91033i | −0.395625 | + | 0.483829i | −0.933185 | − | 0.359397i | \(-0.882982\pi\) |
0.537560 | + | 0.843225i | \(0.319346\pi\) | |||||||
\(104\) | −8.38142 | + | 2.99048i | −0.821866 | + | 0.293241i | ||||
\(105\) | 2.91813 | − | 19.4232i | 0.284780 | − | 1.89551i | ||||
\(106\) | −18.6159 | + | 3.22161i | −1.80814 | + | 0.312911i | ||||
\(107\) | 3.82289 | − | 7.77536i | 0.369572 | − | 0.751672i | −0.630120 | − | 0.776498i | \(-0.716994\pi\) |
0.999692 | + | 0.0248261i | \(0.00790321\pi\) | |||||||
\(108\) | −0.376317 | − | 0.666371i | −0.0362111 | − | 0.0641216i | ||||
\(109\) | 0.0583198 | − | 0.127703i | 0.00558602 | − | 0.0122317i | −0.906818 | − | 0.421521i | \(-0.861496\pi\) |
0.912404 | + | 0.409290i | \(0.134223\pi\) | |||||||
\(110\) | −1.06732 | − | 10.9118i | −0.101765 | − | 1.04040i | ||||
\(111\) | 3.57248 | + | 7.82264i | 0.339085 | + | 0.742492i | ||||
\(112\) | −11.3142 | + | 15.5727i | −1.06909 | + | 1.47148i | ||||
\(113\) | −0.309273 | + | 1.78712i | −0.0290940 | + | 0.168118i | −0.996309 | − | 0.0858415i | \(-0.972642\pi\) |
0.967215 | + | 0.253960i | \(0.0817330\pi\) | |||||||
\(114\) | 6.03455 | + | 2.55022i | 0.565187 | + | 0.238850i | ||||
\(115\) | 3.77235 | − | 12.5532i | 0.351774 | − | 1.17059i | ||||
\(116\) | 0.191619 | + | 0.363158i | 0.0177914 | + | 0.0337184i | ||||
\(117\) | −0.346543 | + | 3.02026i | −0.0320379 | + | 0.279223i | ||||
\(118\) | −14.5279 | − | 4.72038i | −1.33740 | − | 0.434547i | ||||
\(119\) | 3.37793 | + | 0.193157i | 0.309654 | + | 0.0177067i | ||||
\(120\) | 0.940949 | + | 11.8325i | 0.0858965 | + | 1.08016i | ||||
\(121\) | 7.50038 | + | 8.04639i | 0.681853 | + | 0.731490i | ||||
\(122\) | − | 7.81917i | − | 0.707914i | ||||||
\(123\) | 0.598567 | − | 10.4677i | 0.0539710 | − | 0.943845i | ||||
\(124\) | 0.603818 | − | 1.85836i | 0.0542245 | − | 0.166886i | ||||
\(125\) | 1.38089 | + | 11.0947i | 0.123510 | + | 0.992343i | ||||
\(126\) | 2.80608 | + | 5.31811i | 0.249985 | + | 0.473775i | ||||
\(127\) | −9.74714 | − | 3.79491i | −0.864919 | − | 0.336744i | −0.111087 | − | 0.993811i | \(-0.535433\pi\) |
−0.753832 | + | 0.657067i | \(0.771797\pi\) | |||||||
\(128\) | 4.91587 | − | 11.6323i | 0.434505 | − | 1.02816i | ||||
\(129\) | −15.9123 | − | 2.75373i | −1.40100 | − | 0.242453i | ||||
\(130\) | 5.72262 | − | 9.35559i | 0.501907 | − | 0.820540i | ||||
\(131\) | 2.70001 | + | 5.91220i | 0.235901 | + | 0.516551i | 0.990146 | − | 0.140042i | \(-0.0447239\pi\) |
−0.754244 | + | 0.656594i | \(0.771997\pi\) | |||||||
\(132\) | 0.814288 | + | 0.905984i | 0.0708747 | + | 0.0788558i | ||||
\(133\) | 9.04083 | + | 4.12881i | 0.783939 | + | 0.358013i | ||||
\(134\) | −2.63638 | + | 1.48883i | −0.227748 | + | 0.128615i | ||||
\(135\) | −8.57082 | − | 3.39950i | −0.737658 | − | 0.292582i | ||||
\(136\) | −2.01479 | + | 0.348673i | −0.172767 | + | 0.0298984i | ||||
\(137\) | 3.86138 | − | 16.6052i | 0.329900 | − | 1.41868i | −0.502534 | − | 0.864557i | \(-0.667599\pi\) |
0.832434 | − | 0.554124i | \(-0.186947\pi\) | |||||||
\(138\) | 5.76332 | + | 16.1528i | 0.490607 | + | 1.37502i | ||||
\(139\) | 7.52114 | + | 6.15001i | 0.637935 | + | 0.521637i | 0.895750 | − | 0.444557i | \(-0.146639\pi\) |
−0.257816 | + | 0.966194i | \(0.583003\pi\) | |||||||
\(140\) | −0.0935245 | − | 1.83961i | −0.00790427 | − | 0.155476i | ||||
\(141\) | 1.97209 | + | 5.06526i | 0.166080 | + | 0.426572i | ||||
\(142\) | −1.64053 | − | 1.42152i | −0.137670 | − | 0.119292i | ||||
\(143\) | 1.14037 | + | 10.9439i | 0.0953622 | + | 0.915171i | ||||
\(144\) | −2.60243 | − | 3.00336i | −0.216869 | − | 0.250280i | ||||
\(145\) | 4.54467 | + | 1.95456i | 0.377414 | + | 0.162317i | ||||
\(146\) | −2.35108 | + | 3.43835i | −0.194577 | + | 0.284560i | ||||
\(147\) | 11.0899 | + | 22.5557i | 0.914680 | + | 1.86036i | ||||
\(148\) | 0.474052 | + | 0.652477i | 0.0389668 | + | 0.0536332i | ||||
\(149\) | 8.45132 | + | 4.77268i | 0.692359 | + | 0.390993i | 0.797380 | − | 0.603477i | \(-0.206218\pi\) |
−0.105022 | + | 0.994470i | \(0.533491\pi\) | |||||||
\(150\) | −10.0616 | − | 10.6186i | −0.821523 | − | 0.867004i | ||||
\(151\) | 2.62040 | − | 0.300663i | 0.213246 | − | 0.0244676i | −0.00671027 | − | 0.999977i | \(-0.502136\pi\) |
0.219956 | + | 0.975510i | \(0.429409\pi\) | |||||||
\(152\) | −5.88685 | − | 1.19283i | −0.477486 | − | 0.0967513i | ||||
\(153\) | −0.196798 | + | 0.670232i | −0.0159102 | + | 0.0541851i | ||||
\(154\) | 14.0798 | + | 16.5950i | 1.13458 | + | 1.33727i | ||||
\(155\) | −8.40239 | − | 21.9918i | −0.674896 | − | 1.76642i | ||||
\(156\) | 0.104272 | + | 1.21402i | 0.00834845 | + | 0.0971992i | ||||
\(157\) | 12.3942 | − | 13.5044i | 0.989167 | − | 1.07777i | −0.00780236 | − | 0.999970i | \(-0.502484\pi\) |
0.996969 | − | 0.0777987i | \(-0.0247891\pi\) | |||||||
\(158\) | 2.87483 | + | 3.13233i | 0.228709 | + | 0.249195i | ||||
\(159\) | 2.16419 | − | 25.1972i | 0.171632 | − | 1.99827i | ||||
\(160\) | 0.645103 | + | 2.24955i | 0.0509999 | + | 0.177843i | ||||
\(161\) | 8.04022 | + | 24.7452i | 0.633658 | + | 1.95020i | ||||
\(162\) | 15.5983 | − | 4.10007i | 1.22552 | − | 0.322132i | ||||
\(163\) | −14.5831 | − | 14.1724i | −1.14223 | − | 1.11007i | −0.992613 | − | 0.121326i | \(-0.961285\pi\) |
−0.149621 | − | 0.988743i | \(-0.547805\pi\) | |||||||
\(164\) | −0.139937 | − | 0.973281i | −0.0109272 | − | 0.0760005i | ||||
\(165\) | 14.4901 | + | 2.33153i | 1.12805 | + | 0.181509i | ||||
\(166\) | −3.61642 | + | 25.1527i | −0.280688 | + | 1.95223i | ||||
\(167\) | −18.6655 | + | 14.3932i | −1.44438 | + | 1.11378i | −0.471663 | + | 0.881779i | \(0.656346\pi\) |
−0.972715 | + | 0.232003i | \(0.925472\pi\) | |||||||
\(168\) | −14.9147 | − | 18.2399i | −1.15069 | − | 1.40724i | ||||
\(169\) | 1.02959 | − | 1.70738i | 0.0791990 | − | 0.131337i | ||||
\(170\) | 1.66221 | − | 1.89396i | 0.127486 | − | 0.145260i | ||||
\(171\) | −1.25302 | + | 1.62494i | −0.0958207 | + | 0.124263i | ||||
\(172\) | −1.51385 | + | 0.0432473i | −0.115430 | + | 0.00329757i | ||||
\(173\) | −2.52662 | − | 5.97871i | −0.192096 | − | 0.454553i | 0.796597 | − | 0.604511i | \(-0.206632\pi\) |
−0.988692 | + | 0.149958i | \(0.952086\pi\) | |||||||
\(174\) | −6.30464 | + | 1.46608i | −0.477953 | + | 0.111143i | ||||
\(175\) | −14.7982 | − | 16.5388i | −1.11864 | − | 1.25022i | ||||
\(176\) | −11.5477 | − | 8.57502i | −0.870441 | − | 0.646367i | ||||
\(177\) | 11.0550 | − | 17.2020i | 0.830948 | − | 1.29298i | ||||
\(178\) | −0.117660 | + | 0.329764i | −0.00881897 | + | 0.0247169i | ||||
\(179\) | −6.51495 | − | 10.8038i | −0.486951 | − | 0.807517i | 0.511715 | − | 0.859155i | \(-0.329010\pi\) |
−0.998666 | + | 0.0516383i | \(0.983556\pi\) | |||||||
\(180\) | 0.374300 | + | 0.0672160i | 0.0278987 | + | 0.00500998i | ||||
\(181\) | 13.6674 | − | 0.781531i | 1.01589 | − | 0.0580907i | 0.458797 | − | 0.888541i | \(-0.348280\pi\) |
0.557093 | + | 0.830450i | \(0.311917\pi\) | |||||||
\(182\) | 1.24279 | + | 21.7338i | 0.0921214 | + | 1.61102i | ||||
\(183\) | 10.1230 | + | 2.66087i | 0.748314 | + | 0.196697i | ||||
\(184\) | −8.11984 | − | 13.4652i | −0.598602 | − | 0.992671i | ||||
\(185\) | 9.38194 | + | 2.52962i | 0.689774 | + | 0.185981i | ||||
\(186\) | 25.9129 | + | 16.6532i | 1.90002 | + | 1.22107i | ||||
\(187\) | −0.170608 | + | 2.52245i | −0.0124761 | + | 0.184460i | ||||
\(188\) | 0.275599 | + | 0.428841i | 0.0201001 | + | 0.0312764i | ||||
\(189\) | 17.8267 | − | 4.14541i | 1.29670 | − | 0.301534i | ||||
\(190\) | 6.56861 | − | 3.41297i | 0.476537 | − | 0.247603i | ||||
\(191\) | −0.522975 | − | 18.3065i | −0.0378412 | − | 1.32461i | −0.767609 | − | 0.640918i | \(-0.778554\pi\) |
0.729768 | − | 0.683695i | \(-0.239628\pi\) | |||||||
\(192\) | 11.1680 | + | 8.61178i | 0.805977 | + | 0.621501i | ||||
\(193\) | −16.7419 | + | 16.2705i | −1.20511 | + | 1.17118i | −0.224656 | + | 0.974438i | \(0.572126\pi\) |
−0.980456 | + | 0.196738i | \(0.936965\pi\) | |||||||
\(194\) | −8.84328 | + | 14.6649i | −0.634910 | + | 1.05288i | ||||
\(195\) | 10.1647 | + | 10.5925i | 0.727910 | + | 0.758542i | ||||
\(196\) | 1.43940 | + | 1.86665i | 0.102814 | + | 0.133332i | ||||
\(197\) | −5.87836 | − | 0.845180i | −0.418815 | − | 0.0602166i | −0.0703142 | − | 0.997525i | \(-0.522400\pi\) |
−0.348501 | + | 0.937308i | \(0.613309\pi\) | |||||||
\(198\) | −3.99547 | + | 2.05529i | −0.283946 | + | 0.146063i | ||||
\(199\) | 2.76975 | + | 19.2641i | 0.196343 | + | 1.36559i | 0.814785 | + | 0.579763i | \(0.196855\pi\) |
−0.618443 | + | 0.785830i | \(0.712236\pi\) | |||||||
\(200\) | 10.9745 | + | 7.70967i | 0.776013 | + | 0.545156i | ||||
\(201\) | −1.03034 | − | 3.91981i | −0.0726744 | − | 0.276482i | ||||
\(202\) | 14.9185 | − | 4.84730i | 1.04966 | − | 0.341055i | ||||
\(203\) | −9.62442 | + | 1.95016i | −0.675502 | + | 0.136874i | ||||
\(204\) | −0.0239589 | + | 0.278948i | −0.00167746 | + | 0.0195303i | ||||
\(205\) | −8.67728 | − | 8.06563i | −0.606048 | − | 0.563328i | ||||
\(206\) | −6.90859 | − | 6.34065i | −0.481344 | − | 0.441774i | ||||
\(207\) | −5.35197 | + | 0.459681i | −0.371988 | + | 0.0319500i | ||||
\(208\) | −4.05340 | − | 13.8046i | −0.281053 | − | 0.957178i | ||||
\(209\) | −3.15535 | + | 6.72309i | −0.218260 | + | 0.465046i | ||||
\(210\) | 28.4217 | + | 5.94635i | 1.96128 | + | 0.410337i | ||||
\(211\) | −1.23101 | + | 6.07529i | −0.0847465 | + | 0.418240i | 0.915139 | + | 0.403137i | \(0.132080\pi\) |
−0.999886 | + | 0.0151030i | \(0.995192\pi\) | |||||||
\(212\) | −0.270359 | − | 2.35629i | −0.0185683 | − | 0.161831i | ||||
\(213\) | 2.39863 | − | 1.64014i | 0.164352 | − | 0.112381i | ||||
\(214\) | 11.1535 | + | 6.29867i | 0.762437 | + | 0.430568i | ||||
\(215\) | −13.8652 | + | 11.8616i | −0.945601 | + | 0.808955i | ||||
\(216\) | −9.92587 | + | 4.88022i | −0.675370 | + | 0.332057i | ||||
\(217\) | 38.5751 | + | 26.3770i | 2.61865 | + | 1.79059i | ||||
\(218\) | 0.183562 | + | 0.0968558i | 0.0124324 | + | 0.00655991i | ||||
\(219\) | −3.65135 | − | 4.21388i | −0.246735 | − | 0.284748i | ||||
\(220\) | 1.37527 | − | 0.0555670i | 0.0927207 | − | 0.00374633i | ||||
\(221\) | −1.65610 | + | 1.91124i | −0.111401 | + | 0.128564i | ||||
\(222\) | −11.8475 | + | 4.61263i | −0.795149 | + | 0.309580i | ||||
\(223\) | −1.36725 | − | 0.0390592i | −0.0915578 | − | 0.00261560i | −0.0172528 | − | 0.999851i | \(-0.505492\pi\) |
−0.0743050 | + | 0.997236i | \(0.523674\pi\) | |||||||
\(224\) | −3.59612 | − | 2.94054i | −0.240276 | − | 0.196473i | ||||
\(225\) | 4.01776 | − | 2.20238i | 0.267851 | − | 0.146825i | ||||
\(226\) | −2.61162 | − | 0.607307i | −0.173723 | − | 0.0403974i | ||||
\(227\) | −0.0805751 | − | 0.465599i | −0.00534796 | − | 0.0309029i | 0.982559 | − | 0.185953i | \(-0.0595371\pi\) |
−0.987907 | + | 0.155050i | \(0.950446\pi\) | |||||||
\(228\) | −0.362877 | + | 0.738054i | −0.0240321 | + | 0.0488788i | ||||
\(229\) | 10.6275 | − | 6.00162i | 0.702285 | − | 0.396599i | −0.0988339 | − | 0.995104i | \(-0.531511\pi\) |
0.801119 | + | 0.598505i | \(0.204239\pi\) | |||||||
\(230\) | 18.2097 | + | 6.62733i | 1.20071 | + | 0.436993i | ||||
\(231\) | −26.2760 | + | 12.5810i | −1.72883 | + | 0.827769i | ||||
\(232\) | 5.39828 | − | 2.46531i | 0.354414 | − | 0.161856i | ||||
\(233\) | 0.737819 | − | 1.01552i | 0.0483361 | − | 0.0665290i | −0.784165 | − | 0.620553i | \(-0.786908\pi\) |
0.832501 | + | 0.554024i | \(0.186908\pi\) | |||||||
\(234\) | −4.42855 | − | 0.766391i | −0.289503 | − | 0.0501005i | ||||
\(235\) | 5.82904 | + | 1.93481i | 0.380245 | + | 0.126213i | ||||
\(236\) | 0.695741 | − | 1.78700i | 0.0452889 | − | 0.116324i | ||||
\(237\) | −5.03355 | + | 2.65593i | −0.326964 | + | 0.172521i | ||||
\(238\) | −0.570185 | + | 4.96940i | −0.0369596 | + | 0.322118i | ||||
\(239\) | −0.832812 | + | 2.56313i | −0.0538701 | + | 0.165795i | −0.974372 | − | 0.224943i | \(-0.927780\pi\) |
0.920502 | + | 0.390738i | \(0.127780\pi\) | |||||||
\(240\) | −19.1859 | + | 0.426679i | −1.23845 | + | 0.0275420i | ||||
\(241\) | −16.1775 | −1.04208 | −0.521042 | − | 0.853531i | \(-0.674457\pi\) | ||||
−0.521042 | + | 0.853531i | \(0.674457\pi\) | |||||||
\(242\) | −12.5092 | + | 10.3912i | −0.804122 | + | 0.667971i | ||||
\(243\) | 9.21896i | 0.591397i | ||||||||
\(244\) | 0.980004 | + | 0.0560386i | 0.0627383 | + | 0.00358751i | ||||
\(245\) | 27.6205 | + | 6.60728i | 1.76461 | + | 0.422123i | ||||
\(246\) | 15.3995 | + | 1.76693i | 0.981836 | + | 0.112655i | ||||
\(247\) | −6.57029 | + | 3.46679i | −0.418058 | + | 0.220586i | ||||
\(248\) | −26.3169 | − | 10.2461i | −1.67113 | − | 0.650628i | ||||
\(249\) | −31.3331 | − | 13.2415i | −1.98565 | − | 0.839143i | ||||
\(250\) | −16.4920 | + | 1.10176i | −1.04304 | + | 0.0696813i | ||||
\(251\) | −19.5220 | − | 14.1836i | −1.23222 | − | 0.895261i | −0.235166 | − | 0.971955i | \(-0.575563\pi\) |
−0.997055 | + | 0.0766943i | \(0.975563\pi\) | |||||||
\(252\) | −0.686648 | + | 0.313582i | −0.0432547 | + | 0.0197538i | ||||
\(253\) | −18.5520 | + | 5.81504i | −1.16635 | + | 0.365588i | ||||
\(254\) | 6.42379 | − | 14.0661i | 0.403065 | − | 0.882589i | ||||
\(255\) | 1.88634 | + | 2.79648i | 0.118127 | + | 0.175122i | ||||
\(256\) | 3.96386 | + | 1.94890i | 0.247741 | + | 0.121806i | ||||
\(257\) | −4.42377 | − | 25.5625i | −0.275947 | − | 1.59455i | −0.717004 | − | 0.697069i | \(-0.754487\pi\) |
0.441057 | − | 0.897479i | \(-0.354604\pi\) | |||||||
\(258\) | 5.40739 | − | 23.2536i | 0.336649 | − | 1.44770i | ||||
\(259\) | −18.1663 | + | 6.48173i | −1.12880 | + | 0.402755i | ||||
\(260\) | 1.13156 | + | 0.784287i | 0.0701761 | + | 0.0486394i | ||||
\(261\) | 0.0578941 | − | 2.02656i | 0.00358355 | − | 0.125441i | ||||
\(262\) | −8.95407 | + | 3.48614i | −0.553185 | + | 0.215374i | ||||
\(263\) | 12.7137 | + | 11.0164i | 0.783957 | + | 0.679303i | 0.951871 | − | 0.306499i | \(-0.0991575\pi\) |
−0.167914 | + | 0.985802i | \(0.553703\pi\) | |||||||
\(264\) | 13.7447 | − | 11.0022i | 0.845930 | − | 0.677139i | ||||
\(265\) | −20.3660 | − | 20.0445i | −1.25107 | − | 1.23132i | ||||
\(266\) | −6.85700 | + | 12.9955i | −0.420430 | + | 0.796803i | ||||
\(267\) | −0.386887 | − | 0.264546i | −0.0236771 | − | 0.0161900i | ||||
\(268\) | −0.167706 | − | 0.341097i | −0.0102443 | − | 0.0208358i | ||||
\(269\) | 17.1781 | − | 12.4806i | 1.04737 | − | 0.760958i | 0.0756588 | − | 0.997134i | \(-0.475894\pi\) |
0.971710 | + | 0.236175i | \(0.0758940\pi\) | |||||||
\(270\) | 5.74090 | − | 12.3633i | 0.349380 | − | 0.752407i | ||||
\(271\) | −10.1730 | − | 14.8775i | −0.617966 | − | 0.903746i | 0.381824 | − | 0.924235i | \(-0.375296\pi\) |
−0.999790 | + | 0.0204887i | \(0.993478\pi\) | |||||||
\(272\) | −0.376837 | − | 3.28429i | −0.0228491 | − | 0.199139i | ||||
\(273\) | −28.5604 | − | 5.78709i | −1.72855 | − | 0.350251i | ||||
\(274\) | 24.1828 | + | 7.10072i | 1.46094 | + | 0.428970i | ||||
\(275\) | 12.4728 | − | 10.9284i | 0.752138 | − | 0.659006i | ||||
\(276\) | −2.06580 | + | 0.606573i | −0.124346 | + | 0.0365114i | ||||
\(277\) | 10.5881 | − | 0.909412i | 0.636177 | − | 0.0546413i | 0.236992 | − | 0.971512i | \(-0.423839\pi\) |
0.399185 | + | 0.916870i | \(0.369293\pi\) | |||||||
\(278\) | −9.71196 | + | 10.5819i | −0.582485 | + | 0.634659i | ||||
\(279\) | −7.10794 | + | 6.52361i | −0.425541 | + | 0.390558i | ||||
\(280\) | −26.6218 | − | 0.168369i | −1.59096 | − | 0.0100620i | ||||
\(281\) | −3.10457 | − | 15.3216i | −0.185203 | − | 0.914012i | −0.959612 | − | 0.281327i | \(-0.909225\pi\) |
0.774409 | − | 0.632685i | \(-0.218047\pi\) | |||||||
\(282\) | −7.64259 | + | 2.48323i | −0.455109 | + | 0.147874i | ||||
\(283\) | −0.927984 | + | 0.243924i | −0.0551629 | + | 0.0144998i | −0.281696 | − | 0.959504i | \(-0.590897\pi\) |
0.226533 | + | 0.974003i | \(0.427261\pi\) | |||||||
\(284\) | 0.189922 | − | 0.195425i | 0.0112698 | − | 0.0115963i | ||||
\(285\) | 2.18326 | + | 9.66542i | 0.129325 | + | 0.572530i | ||||
\(286\) | −16.2490 | + | 0.759492i | −0.960822 | + | 0.0449097i | ||||
\(287\) | 23.2766 | + | 3.34667i | 1.37397 | + | 0.197547i | ||||
\(288\) | 0.759469 | − | 0.585638i | 0.0447521 | − | 0.0345090i | ||||
\(289\) | 12.7106 | − | 10.3934i | 0.747681 | − | 0.611375i | ||||
\(290\) | −3.26842 | + | 6.54280i | −0.191928 | + | 0.384207i | ||||
\(291\) | −15.9764 | − | 16.4394i | −0.936555 | − | 0.963692i | ||||
\(292\) | −0.414091 | − | 0.319312i | −0.0242328 | − | 0.0186863i | ||||
\(293\) | −24.3839 | + | 0.696593i | −1.42452 | + | 0.0406954i | −0.732297 | − | 0.680985i | \(-0.761552\pi\) |
−0.692227 | + | 0.721680i | \(0.743370\pi\) | |||||||
\(294\) | −34.2274 | + | 14.4646i | −1.99618 | + | 0.843594i | ||||
\(295\) | −7.00055 | − | 22.0183i | −0.407588 | − | 1.28196i | ||||
\(296\) | 9.80602 | − | 6.30195i | 0.569963 | − | 0.366293i | ||||
\(297\) | 2.95871 | + | 13.3522i | 0.171682 | + | 0.774771i | ||||
\(298\) | −7.75758 | + | 12.0710i | −0.449385 | + | 0.699256i | ||||
\(299\) | −18.3165 | − | 6.53531i | −1.05927 | − | 0.377946i | ||||
\(300\) | 1.40297 | − | 1.18495i | 0.0810007 | − | 0.0684131i | ||||
\(301\) | 9.20764 | − | 35.0295i | 0.530719 | − | 2.01907i | ||||
\(302\) | 0.222610 | + | 3.89300i | 0.0128097 | + | 0.224017i | ||||
\(303\) | 1.19874 | + | 20.9636i | 0.0688658 | + | 1.20433i | ||||
\(304\) | 2.46872 | − | 9.39197i | 0.141591 | − | 0.538666i | ||||
\(305\) | 9.61171 | − | 6.89086i | 0.550365 | − | 0.394570i | ||||
\(306\) | −0.972629 | − | 0.347033i | −0.0556015 | − | 0.0198386i | ||||
\(307\) | −14.5454 | + | 22.6331i | −0.830151 | + | 1.29174i | 0.123960 | + | 0.992287i | \(0.460441\pi\) |
−0.954111 | + | 0.299453i | \(0.903196\pi\) | |||||||
\(308\) | −2.18082 | + | 1.64574i | −0.124264 | + | 0.0937748i | ||||
\(309\) | 10.5599 | − | 6.78641i | 0.600729 | − | 0.386065i | ||||
\(310\) | 33.1682 | − | 10.5456i | 1.88383 | − | 0.598947i | ||||
\(311\) | −21.0335 | + | 8.88882i | −1.19270 | + | 0.504039i | −0.893027 | − | 0.450003i | \(-0.851423\pi\) |
−0.299672 | + | 0.954042i | \(0.596877\pi\) | |||||||
\(312\) | 17.6036 | − | 0.502895i | 0.996610 | − | 0.0284709i | ||||
\(313\) | −13.9705 | − | 10.7729i | −0.789660 | − | 0.608919i | 0.134505 | − | 0.990913i | \(-0.457056\pi\) |
−0.924165 | + | 0.381994i | \(0.875237\pi\) | |||||||
\(314\) | 18.8859 | + | 19.4332i | 1.06580 | + | 1.09668i | ||||
\(315\) | −4.06435 | + | 8.13611i | −0.229000 | + | 0.458418i | ||||
\(316\) | −0.413189 | + | 0.337863i | −0.0232437 | + | 0.0190063i | ||||
\(317\) | −18.9745 | + | 14.6315i | −1.06571 | + | 0.821789i | −0.984584 | − | 0.174914i | \(-0.944035\pi\) |
−0.0811313 | + | 0.996703i | \(0.525853\pi\) | |||||||
\(318\) | 37.0076 | + | 5.32088i | 2.07528 | + | 0.298380i | ||||
\(319\) | −1.38225 | − | 7.20644i | −0.0773914 | − | 0.403483i | ||||
\(320\) | 15.5432 | − | 3.51094i | 0.868889 | − | 0.196268i | ||||
\(321\) | −11.9501 | + | 12.2963i | −0.666987 | + | 0.686314i | ||||
\(322\) | −37.2017 | + | 9.77861i | −2.07317 | + | 0.544940i | ||||
\(323\) | −1.62340 | + | 0.527474i | −0.0903282 | + | 0.0293494i | ||||
\(324\) | 0.402086 | + | 1.98437i | 0.0223381 | + | 0.110243i | ||||
\(325\) | 16.5436 | − | 1.21035i | 0.917673 | − | 0.0671380i | ||||
\(326\) | 22.1488 | − | 20.3279i | 1.22671 | − | 1.12586i | ||||
\(327\) | −0.187860 | + | 0.204687i | −0.0103887 | + | 0.0113192i | ||||
\(328\) | −14.1594 | + | 1.21615i | −0.781820 | + | 0.0671506i | ||||
\(329\) | −11.6975 | + | 3.43468i | −0.644902 | + | 0.189360i | ||||
\(330\) | −4.66420 | + | 21.1901i | −0.256756 | + | 1.16648i | ||||
\(331\) | −2.03660 | − | 0.597998i | −0.111941 | − | 0.0328690i | 0.225282 | − | 0.974294i | \(-0.427670\pi\) |
−0.337224 | + | 0.941425i | \(0.609488\pi\) | |||||||
\(332\) | −3.12656 | − | 0.633524i | −0.171592 | − | 0.0347691i | ||||
\(333\) | −0.453925 | − | 3.95615i | −0.0248750 | − | 0.216795i | ||||
\(334\) | −19.6685 | − | 28.7643i | −1.07622 | − | 1.57391i | ||||
\(335\) | −4.15353 | − | 1.92869i | −0.226931 | − | 0.105376i | ||||
\(336\) | 30.8180 | − | 22.3906i | 1.68126 | − | 1.22151i | ||||
\(337\) | −5.91758 | − | 12.0358i | −0.322351 | − | 0.655630i | 0.674205 | − | 0.738544i | \(-0.264486\pi\) |
−0.996557 | + | 0.0829144i | \(0.973577\pi\) | |||||||
\(338\) | 2.43313 | + | 1.66373i | 0.132345 | + | 0.0904952i | ||||
\(339\) | 1.67498 | − | 3.17444i | 0.0909725 | − | 0.172412i | ||||
\(340\) | 0.225463 | + | 0.221904i | 0.0122275 | + | 0.0120345i | ||||
\(341\) | −20.0088 | + | 28.6177i | −1.08353 | + | 1.54973i | ||||
\(342\) | −2.29260 | − | 1.98655i | −0.123970 | − | 0.107420i | ||||
\(343\) | −23.5791 | + | 9.18019i | −1.27315 | + | 0.495684i | ||||
\(344\) | −0.625053 | + | 21.8797i | −0.0337006 | + | 1.17968i | ||||
\(345\) | −14.7768 | + | 21.3197i | −0.795556 | + | 1.14782i | ||||
\(346\) | 9.03760 | − | 3.22461i | 0.485865 | − | 0.173356i | ||||
\(347\) | 0.771359 | − | 3.31710i | 0.0414087 | − | 0.178071i | −0.949230 | − | 0.314584i | \(-0.898135\pi\) |
0.990638 | + | 0.136513i | \(0.0435895\pi\) | |||||||
\(348\) | −0.138565 | − | 0.800690i | −0.00742786 | − | 0.0429215i | ||||
\(349\) | 18.4683 | + | 9.08025i | 0.988585 | + | 0.486055i | 0.862550 | − | 0.505971i | \(-0.168866\pi\) |
0.126035 | + | 0.992026i | \(0.459775\pi\) | |||||||
\(350\) | 25.6597 | − | 20.4457i | 1.37157 | − | 1.09287i | ||||
\(351\) | −5.68284 | + | 12.4437i | −0.303327 | + | 0.664194i | ||||
\(352\) | 2.22512 | − | 2.66411i | 0.118599 | − | 0.141997i | ||||
\(353\) | −0.449665 | + | 0.205355i | −0.0239333 | + | 0.0109300i | −0.427346 | − | 0.904088i | \(-0.640551\pi\) |
0.403412 | + | 0.915018i | \(0.367824\pi\) | |||||||
\(354\) | 24.4565 | + | 17.7687i | 1.29985 | + | 0.944394i | ||||
\(355\) | 0.301648 | − | 3.26937i | 0.0160098 | − | 0.173520i | ||||
\(356\) | −0.0404873 | − | 0.0171101i | −0.00214582 | − | 0.000906832i | ||||
\(357\) | −6.23955 | − | 2.42928i | −0.330232 | − | 0.128571i | ||||
\(358\) | 16.4959 | − | 8.70401i | 0.871837 | − | 0.460021i | ||||
\(359\) | 14.5056 | + | 1.66437i | 0.765578 | + | 0.0878419i | 0.487979 | − | 0.872855i | \(-0.337734\pi\) |
0.277599 | + | 0.960697i | \(0.410461\pi\) | |||||||
\(360\) | 1.27873 | − | 5.34548i | 0.0673948 | − | 0.281732i | ||||
\(361\) | 13.9630 | + | 0.798433i | 0.734894 | + | 0.0420228i | ||||
\(362\) | 20.2386i | 1.06372i | ||||||||
\(363\) | −9.19595 | − | 19.7310i | −0.482662 | − | 1.03561i | ||||
\(364\) | −2.73288 | −0.143242 | ||||||||
\(365\) | −6.29856 | + | 0.140075i | −0.329681 | + | 0.00733185i | ||||
\(366\) | −4.78172 | + | 14.7166i | −0.249944 | + | 0.769250i | ||||
\(367\) | −2.86081 | + | 24.9332i | −0.149333 | + | 1.30150i | 0.676020 | + | 0.736884i | \(0.263703\pi\) |
−0.825353 | + | 0.564617i | \(0.809024\pi\) | |||||||
\(368\) | 22.4839 | − | 11.8636i | 1.17206 | − | 0.618430i | ||||
\(369\) | −1.76142 | + | 4.52417i | −0.0916959 | + | 0.235519i | ||||
\(370\) | −4.52545 | + | 13.6339i | −0.235267 | + | 0.708793i | ||||
\(371\) | 55.8910 | + | 9.67231i | 2.90171 | + | 0.502161i | ||||
\(372\) | −2.27292 | + | 3.12840i | −0.117845 | + | 0.162200i | ||||
\(373\) | 14.6419 | − | 6.68675i | 0.758131 | − | 0.346227i | 0.00143970 | − | 0.999999i | \(-0.499542\pi\) |
0.756692 | + | 0.653772i | \(0.226814\pi\) | |||||||
\(374\) | −3.70865 | − | 0.464702i | −0.191770 | − | 0.0240292i | ||||
\(375\) | 4.18586 | − | 21.7261i | 0.216157 | − | 1.12193i | ||||
\(376\) | 6.41533 | − | 3.62290i | 0.330845 | − | 0.186837i | ||||
\(377\) | 3.23851 | − | 6.58680i | 0.166792 | − | 0.339237i | ||||
\(378\) | 4.61393 | + | 26.6614i | 0.237315 | + | 1.37131i | ||||
\(379\) | 8.05806 | + | 1.87382i | 0.413915 | + | 0.0962517i | 0.428282 | − | 0.903645i | \(-0.359119\pi\) |
−0.0143675 | + | 0.999897i | \(0.504573\pi\) | |||||||
\(380\) | 0.380683 | + | 0.847727i | 0.0195286 | + | 0.0434875i | ||||
\(381\) | 16.0246 | + | 13.1032i | 0.820964 | + | 0.671299i | ||||
\(382\) | 27.0639 | + | 0.773153i | 1.38471 | + | 0.0395580i | ||||
\(383\) | 33.5137 | − | 13.0481i | 1.71247 | − | 0.666726i | 0.713063 | − | 0.701100i | \(-0.247307\pi\) |
0.999409 | + | 0.0343733i | \(0.0109435\pi\) | |||||||
\(384\) | −16.3659 | + | 18.8872i | −0.835168 | + | 0.963835i | ||||
\(385\) | −7.99120 | + | 31.9325i | −0.407269 | + | 1.62743i | ||||
\(386\) | −22.6017 | − | 26.0837i | −1.15039 | − | 1.32763i | ||||
\(387\) | 6.61349 | + | 3.48958i | 0.336182 | + | 0.177385i | ||||
\(388\) | −1.77463 | − | 1.21346i | −0.0900931 | − | 0.0616041i | ||||
\(389\) | 7.35445 | − | 3.61594i | 0.372886 | − | 0.183336i | −0.245151 | − | 0.969485i | \(-0.578837\pi\) |
0.618036 | + | 0.786149i | \(0.287928\pi\) | |||||||
\(390\) | −16.4920 | + | 14.1088i | −0.835103 | + | 0.714424i | ||||
\(391\) | −3.89093 | − | 2.19731i | −0.196773 | − | 0.111123i | ||||
\(392\) | 28.1224 | − | 19.2296i | 1.42039 | − | 0.971241i | ||||
\(393\) | −1.46621 | − | 12.7786i | −0.0739606 | − | 0.644597i | ||||
\(394\) | 1.74358 | − | 8.60491i | 0.0878403 | − | 0.433509i | ||||
\(395\) | −1.31689 | + | 6.29434i | −0.0662601 | + | 0.316702i | ||||
\(396\) | −0.228962 | − | 0.515496i | −0.0115058 | − | 0.0259047i | ||||
\(397\) | −2.75693 | − | 9.38923i | −0.138366 | − | 0.471232i | 0.860931 | − | 0.508722i | \(-0.169882\pi\) |
−0.999297 | + | 0.0374902i | \(0.988064\pi\) | |||||||
\(398\) | −28.6668 | + | 2.46219i | −1.43694 | + | 0.123419i | ||||
\(399\) | −14.4910 | − | 13.2997i | −0.725458 | − | 0.665819i | ||||
\(400\) | −13.4572 | + | 17.0025i | −0.672862 | + | 0.850126i | ||||
\(401\) | −1.01739 | + | 11.8452i | −0.0508059 | + | 0.591522i | 0.926018 | + | 0.377479i | \(0.123209\pi\) |
−0.976824 | + | 0.214043i | \(0.931337\pi\) | |||||||
\(402\) | 5.87246 | − | 1.18991i | 0.292891 | − | 0.0593475i | ||||
\(403\) | −33.2191 | + | 10.7935i | −1.65476 | + | 0.537665i | ||||
\(404\) | 0.500611 | + | 1.90452i | 0.0249063 | + | 0.0947535i | ||||
\(405\) | 18.7864 | + | 15.5609i | 0.933505 | + | 0.773226i | ||||
\(406\) | −2.06608 | − | 14.3699i | −0.102538 | − | 0.713165i | ||||
\(407\) | −4.70174 | − | 13.6241i | −0.233057 | − | 0.675324i | ||||
\(408\) | 4.00530 | + | 0.575875i | 0.198292 | + | 0.0285101i | ||||
\(409\) | −6.92872 | − | 8.98532i | −0.342603 | − | 0.444295i | 0.588803 | − | 0.808276i | \(-0.299599\pi\) |
−0.931406 | + | 0.363981i | \(0.881417\pi\) | |||||||
\(410\) | 12.6369 | − | 12.1266i | 0.624094 | − | 0.598891i | ||||
\(411\) | −17.4223 | + | 28.8917i | −0.859380 | + | 1.42512i | ||||
\(412\) | 0.844208 | − | 0.820436i | 0.0415912 | − | 0.0404200i | ||||
\(413\) | 36.3181 | + | 28.0055i | 1.78710 | + | 1.37806i | ||||
\(414\) | −0.226774 | − | 7.93811i | −0.0111453 | − | 0.390137i | ||||
\(415\) | −34.1061 | + | 17.7211i | −1.67420 | + | 0.869894i | ||||
\(416\) | 3.38186 | − | 0.786418i | 0.165809 | − | 0.0385573i | ||||
\(417\) | −10.3947 | − | 16.1745i | −0.509032 | − | 0.792070i | ||||
\(418\) | −9.65673 | − | 5.22460i | −0.472326 | − | 0.255544i | ||||
\(419\) | 15.7194 | + | 10.1022i | 0.767942 | + | 0.493526i | 0.865012 | − | 0.501751i | \(-0.167311\pi\) |
−0.0970703 | + | 0.995278i | \(0.530947\pi\) | |||||||
\(420\) | −0.948970 | + | 3.51957i | −0.0463050 | + | 0.171738i | ||||
\(421\) | 5.30630 | + | 8.79952i | 0.258613 | + | 0.428862i | 0.958374 | − | 0.285515i | \(-0.0921646\pi\) |
−0.699761 | + | 0.714377i | \(0.746710\pi\) | |||||||
\(422\) | −8.86302 | − | 2.32968i | −0.431445 | − | 0.113407i | ||||
\(423\) | −0.143689 | − | 2.51284i | −0.00698642 | − | 0.122179i | ||||
\(424\) | −34.2230 | + | 1.95694i | −1.66202 | + | 0.0950375i | ||||
\(425\) | 3.79302 | + | 0.374169i | 0.183988 | + | 0.0181499i | ||||
\(426\) | 2.21835 | + | 3.67872i | 0.107479 | + | 0.178235i | ||||
\(427\) | −7.88897 | + | 22.1104i | −0.381774 | + | 1.07000i | ||||
\(428\) | −0.869370 | + | 1.35277i | −0.0420226 | + | 0.0653884i | ||||
\(429\) | 4.54628 | − | 21.2950i | 0.219496 | − | 1.02813i | ||||
\(430\) | −16.3371 | − | 21.4657i | −0.787845 | − | 1.03517i | ||||
\(431\) | 24.5832 | − | 5.71659i | 1.18413 | − | 0.275358i | 0.412219 | − | 0.911085i | \(-0.364754\pi\) |
0.771914 | + | 0.635726i | \(0.219299\pi\) | |||||||
\(432\) | −6.96111 | − | 16.4720i | −0.334917 | − | 0.792508i | ||||
\(433\) | 25.2240 | − | 0.720591i | 1.21219 | − | 0.0346294i | 0.583385 | − | 0.812196i | \(-0.301728\pi\) |
0.628801 | + | 0.777566i | \(0.283546\pi\) | |||||||
\(434\) | −42.1871 | + | 54.7093i | −2.02505 | + | 2.62613i | ||||
\(435\) | −7.35833 | − | 6.45795i | −0.352805 | − | 0.309635i | ||||
\(436\) | −0.0134548 | + | 0.0223124i | −0.000644370 | + | 0.00106857i | ||||
\(437\) | −8.30915 | − | 10.1617i | −0.397481 | − | 0.486098i | ||||
\(438\) | 6.52771 | − | 5.03362i | 0.311906 | − | 0.240515i | ||||
\(439\) | 3.52869 | − | 24.5426i | 0.168415 | − | 1.17135i | −0.713746 | − | 0.700405i | \(-0.753003\pi\) |
0.882161 | − | 0.470948i | \(-0.156088\pi\) | |||||||
\(440\) | 0.332941 | − | 19.8902i | 0.0158724 | − | 0.948230i | ||||
\(441\) | −1.65633 | − | 11.5200i | −0.0788727 | − | 0.548572i | ||||
\(442\) | −2.68114 | − | 2.60564i | −0.127529 | − | 0.123938i | ||||
\(443\) | −12.8164 | + | 3.36885i | −0.608926 | + | 0.160059i | −0.545756 | − | 0.837944i | \(-0.683757\pi\) |
−0.0631703 | + | 0.998003i | \(0.520121\pi\) | |||||||
\(444\) | −0.493209 | − | 1.51794i | −0.0234067 | − | 0.0720383i | ||||
\(445\) | −0.509054 | + | 0.145981i | −0.0241315 | + | 0.00692017i | ||||
\(446\) | 0.173044 | − | 2.01472i | 0.00819387 | − | 0.0953995i | ||||
\(447\) | −12.9877 | − | 14.1511i | −0.614298 | − | 0.669322i | ||||
\(448\) | −21.3876 | + | 23.3033i | −1.01047 | + | 1.10098i | ||||
\(449\) | 0.0786072 | + | 0.915207i | 0.00370970 | + | 0.0431913i | 0.997953 | − | 0.0639593i | \(-0.0203728\pi\) |
−0.994243 | + | 0.107151i | \(0.965827\pi\) | |||||||
\(450\) | 2.91154 | + | 6.11595i | 0.137251 | + | 0.288309i | ||||
\(451\) | −2.68171 | + | 17.3660i | −0.126277 | + | 0.817733i | ||||
\(452\) | 0.0948330 | − | 0.322971i | 0.00446057 | − | 0.0151913i | ||||
\(453\) | −5.11579 | − | 1.03659i | −0.240361 | − | 0.0487034i | ||||
\(454\) | 0.694008 | − | 0.0796300i | 0.0325714 | − | 0.00373722i | ||||
\(455\) | −25.6211 | + | 20.6813i | −1.20113 | + | 0.969552i | ||||
\(456\) | 10.3503 | + | 5.84508i | 0.484697 | + | 0.273721i | ||||
\(457\) | 13.8400 | + | 19.0491i | 0.647406 | + | 0.891078i | 0.998983 | − | 0.0450811i | \(-0.0143546\pi\) |
−0.351577 | + | 0.936159i | \(0.614355\pi\) | |||||||
\(458\) | 7.96123 | + | 16.1923i | 0.372004 | + | 0.756618i | ||||
\(459\) | −1.77420 | + | 2.59468i | −0.0828125 | + | 0.121109i | ||||
\(460\) | −0.961133 | + | 2.23479i | −0.0448130 | + | 0.104198i | ||||
\(461\) | 11.6269 | + | 13.4182i | 0.541519 | + | 0.624946i | 0.958886 | − | 0.283792i | \(-0.0915926\pi\) |
−0.417367 | + | 0.908738i | \(0.637047\pi\) | |||||||
\(462\) | −16.3514 | − | 39.8442i | −0.760738 | − | 1.85372i | ||||
\(463\) | 12.7469 | + | 11.0453i | 0.592400 | + | 0.513318i | 0.898669 | − | 0.438627i | \(-0.144535\pi\) |
−0.306269 | + | 0.951945i | \(0.599081\pi\) | |||||||
\(464\) | 3.48105 | + | 8.94100i | 0.161604 | + | 0.415075i | ||||
\(465\) | 2.36552 | + | 46.5295i | 0.109699 | + | 2.15776i | ||||
\(466\) | 1.43660 | + | 1.17470i | 0.0665493 | + | 0.0544171i | ||||
\(467\) | −2.16910 | − | 6.07933i | −0.100374 | − | 0.281318i | 0.881095 | − | 0.472940i | \(-0.156807\pi\) |
−0.981469 | + | 0.191622i | \(0.938625\pi\) | |||||||
\(468\) | 0.127793 | − | 0.549553i | 0.00590724 | − | 0.0254031i | ||||
\(469\) | 8.95705 | − | 1.55008i | 0.413598 | − | 0.0715760i | ||||
\(470\) | −3.34768 | + | 8.44016i | −0.154417 | + | 0.389316i | ||||
\(471\) | −31.5859 | + | 17.8374i | −1.45540 | + | 0.821903i | ||||
\(472\) | −25.2113 | − | 11.5136i | −1.16045 | − | 0.529957i | ||||
\(473\) | 26.1020 | + | 7.15241i | 1.20017 | + | 0.328868i | ||||
\(474\) | −3.49523 | − | 7.65349i | −0.160541 | − | 0.351536i | ||||
\(475\) | 9.98417 | + | 5.06669i | 0.458105 | + | 0.232476i | ||||
\(476\) | −0.618746 | − | 0.107078i | −0.0283602 | − | 0.00490792i | ||||
\(477\) | −4.55853 | + | 10.7868i | −0.208721 | + | 0.493892i | ||||
\(478\) | −3.71280 | − | 1.44553i | −0.169820 | − | 0.0661168i | ||||
\(479\) | −6.84008 | − | 12.9634i | −0.312531 | − | 0.592313i | 0.677109 | − | 0.735883i | \(-0.263233\pi\) |
−0.989640 | + | 0.143570i | \(0.954142\pi\) | |||||||
\(480\) | 0.161526 | − | 4.62844i | 0.00737260 | − | 0.211258i | ||||
\(481\) | 4.45500 | − | 13.7111i | 0.203131 | − | 0.625172i | ||||
\(482\) | 1.36536 | − | 23.8774i | 0.0621905 | − | 1.08759i | ||||
\(483\) | − | 51.4905i | − | 2.34290i | ||||||
\(484\) | −1.21271 | − | 1.64229i | −0.0551233 | − | 0.0746497i | ||||
\(485\) | −25.8203 | + | 2.05329i | −1.17244 | + | 0.0932350i | ||||
\(486\) | −13.6069 | − | 0.778068i | −0.617219 | − | 0.0352939i | ||||
\(487\) | 30.0833 | + | 9.77467i | 1.36321 | + | 0.442932i | 0.897112 | − | 0.441803i | \(-0.145661\pi\) |
0.466094 | + | 0.884735i | \(0.345661\pi\) | |||||||
\(488\) | 1.61721 | − | 14.0947i | 0.0732078 | − | 0.638036i | ||||
\(489\) | 18.7801 | + | 35.5923i | 0.849267 | + | 1.60954i | ||||
\(490\) | −12.0832 | + | 40.2092i | −0.545865 | + | 1.81647i | ||||
\(491\) | 33.8562 | + | 14.3077i | 1.52791 | + | 0.645699i | 0.981438 | − | 0.191780i | \(-0.0614261\pi\) |
0.546469 | + | 0.837479i | \(0.315972\pi\) | |||||||
\(492\) | −0.331821 | + | 1.91741i | −0.0149596 | + | 0.0864435i | ||||
\(493\) | 0.991303 | − | 1.36441i | 0.0446460 | − | 0.0614500i | ||||
\(494\) | −4.56233 | − | 9.99010i | −0.205269 | − | 0.449476i | ||||
\(495\) | −6.04759 | − | 3.10015i | −0.271819 | − | 0.139341i | ||||
\(496\) | 18.9674 | − | 41.5329i | 0.851663 | − | 1.86488i | ||||
\(497\) | 3.20473 | + | 5.67484i | 0.143752 | + | 0.254551i | ||||
\(498\) | 22.1884 | − | 45.1289i | 0.994285 | − | 2.02227i | ||||
\(499\) | 26.4238 | − | 4.57281i | 1.18289 | − | 0.204707i | 0.455057 | − | 0.890462i | \(-0.349619\pi\) |
0.727832 | + | 0.685755i | \(0.240528\pi\) | |||||||
\(500\) | −0.0198920 | − | 2.07489i | −0.000889597 | − | 0.0927921i | ||||
\(501\) | 43.9327 | − | 15.6752i | 1.96277 | − | 0.700314i | ||||
\(502\) | 22.5821 | − | 27.6168i | 1.00789 | − | 1.23260i | ||||
\(503\) | −30.6465 | − | 0.875501i | −1.36646 | − | 0.0390366i | −0.662386 | − | 0.749163i | \(-0.730456\pi\) |
−0.704075 | + | 0.710126i | \(0.748638\pi\) | |||||||
\(504\) | 3.95825 | + | 10.1667i | 0.176315 | + | 0.452860i | ||||
\(505\) | 19.1059 | + | 14.0667i | 0.850200 | + | 0.625960i | ||||
\(506\) | −7.01702 | − | 27.8728i | −0.311945 | − | 1.23910i | ||||
\(507\) | −2.98194 | + | 2.58386i | −0.132432 | + | 0.114753i | ||||
\(508\) | 1.71692 | + | 0.905927i | 0.0761761 | + | 0.0401940i | ||||
\(509\) | −19.6781 | + | 28.7783i | −0.872215 | + | 1.27557i | 0.0879453 | + | 0.996125i | \(0.471970\pi\) |
−0.960161 | + | 0.279449i | \(0.909848\pi\) | |||||||
\(510\) | −4.28671 | + | 2.54815i | −0.189819 | + | 0.112834i | ||||
\(511\) | 10.1173 | − | 7.35061i | 0.447561 | − | 0.325172i | ||||
\(512\) | 9.20857 | − | 16.3063i | 0.406965 | − | 0.720642i | ||||
\(513\) | −7.62197 | + | 5.21177i | −0.336518 | + | 0.230105i | ||||
\(514\) | 38.1028 | − | 4.37188i | 1.68064 | − | 0.192836i | ||||
\(515\) | 1.70585 | − | 14.0803i | 0.0751687 | − | 0.620451i | ||||
\(516\) | 2.87570 | + | 0.844382i | 0.126596 | + | 0.0371718i | ||||
\(517\) | −2.47535 | − | 8.76695i | −0.108866 | − | 0.385570i | ||||
\(518\) | −8.03359 | − | 27.3599i | −0.352976 | − | 1.20213i | ||||
\(519\) | 1.09920 | + | 12.7978i | 0.0482496 | + | 0.561760i | ||||
\(520\) | 12.2505 | − | 15.6806i | 0.537219 | − | 0.687640i | ||||
\(521\) | −0.728893 | + | 0.668971i | −0.0319334 | + | 0.0293082i | −0.691983 | − | 0.721914i | \(-0.743263\pi\) |
0.660049 | + | 0.751222i | \(0.270535\pi\) | |||||||
\(522\) | 2.98624 | + | 0.256488i | 0.130704 | + | 0.0112262i | ||||
\(523\) | 15.2281 | − | 3.08561i | 0.665878 | − | 0.134924i | 0.146158 | − | 0.989261i | \(-0.453309\pi\) |
0.519720 | + | 0.854337i | \(0.326036\pi\) | |||||||
\(524\) | −0.372758 | − | 1.14723i | −0.0162840 | − | 0.0501170i | ||||
\(525\) | 17.7379 | + | 40.1777i | 0.774144 | + | 1.75350i | ||||
\(526\) | −17.3329 | + | 17.8351i | −0.755750 | + | 0.777648i | ||||
\(527\) | −7.94397 | + | 1.14217i | −0.346045 | + | 0.0497537i | ||||
\(528\) | 16.4902 | + | 23.2011i | 0.717645 | + | 1.00970i | ||||
\(529\) | 1.61709 | − | 11.2471i | 0.0703081 | − | 0.489003i | ||||
\(530\) | 31.3038 | − | 28.3677i | 1.35975 | − | 1.23222i | ||||
\(531\) | −7.32988 | + | 5.99361i | −0.318090 | + | 0.260101i | ||||
\(532\) | −1.57962 | − | 0.952549i | −0.0684854 | − | 0.0412982i | ||||
\(533\) | −12.6049 | + | 12.2499i | −0.545978 | + | 0.530603i | ||||
\(534\) | 0.423113 | − | 0.548703i | 0.0183099 | − | 0.0237447i | ||||
\(535\) | 2.08670 | + | 19.2613i | 0.0902159 | + | 0.832740i | ||||
\(536\) | −5.06021 | + | 2.13846i | −0.218568 | + | 0.0923675i | ||||
\(537\) | 5.65497 | + | 24.3183i | 0.244030 | + | 1.04941i | ||||
\(538\) | 16.9712 | + | 26.4077i | 0.731679 | + | 1.13851i | ||||
\(539\) | −14.8732 | − | 39.4106i | −0.640636 | − | 1.69753i | ||||
\(540\) | 1.50839 | + | 0.808134i | 0.0649109 | + | 0.0347765i | ||||
\(541\) | −16.3936 | − | 5.84923i | −0.704817 | − | 0.251478i | −0.0407693 | − | 0.999169i | \(-0.512981\pi\) |
−0.664047 | + | 0.747690i | \(0.731163\pi\) | |||||||
\(542\) | 22.8173 | − | 13.7593i | 0.980087 | − | 0.591014i | ||||
\(543\) | −26.2017 | − | 6.88721i | −1.12442 | − | 0.295558i | ||||
\(544\) | 0.796492 | − | 0.0455450i | 0.0341493 | − | 0.00195273i | ||||
\(545\) | 0.0427094 | + | 0.311001i | 0.00182947 | + | 0.0133218i | ||||
\(546\) | 10.9520 | − | 41.6657i | 0.468702 | − | 1.78313i | ||||
\(547\) | −6.36442 | + | 3.83789i | −0.272123 | + | 0.164096i | −0.645899 | − | 0.763423i | \(-0.723517\pi\) |
0.373776 | + | 0.927519i | \(0.378063\pi\) | |||||||
\(548\) | −1.06327 | + | 2.98003i | −0.0454208 | + | 0.127301i | ||||
\(549\) | −4.07726 | − | 2.62030i | −0.174013 | − | 0.111832i | ||||
\(550\) | 15.0772 | + | 19.3317i | 0.642894 | + | 0.824308i | ||||
\(551\) | 4.16771 | − | 2.67843i | 0.177550 | − | 0.114105i | ||||
\(552\) | 7.04801 | + | 30.3088i | 0.299983 | + | 1.29003i | ||||
\(553\) | −4.96890 | − | 11.7578i | −0.211299 | − | 0.499994i | ||||
\(554\) | 0.448639 | + | 15.7044i | 0.0190608 | + | 0.667216i | ||||
\(555\) | −16.1110 | − | 10.4985i | −0.683873 | − | 0.445635i | ||||
\(556\) | −1.25666 | − | 1.29307i | −0.0532943 | − | 0.0548385i | ||||
\(557\) | −33.8980 | − | 20.4413i | −1.43631 | − | 0.866124i | −0.436864 | − | 0.899528i | \(-0.643911\pi\) |
−0.999442 | + | 0.0334031i | \(0.989365\pi\) | |||||||
\(558\) | −9.02871 | − | 11.0416i | −0.382216 | − | 0.467430i | ||||
\(559\) | 16.5314 | + | 21.4383i | 0.699203 | + | 0.906743i | ||||
\(560\) | 2.72892 | − | 42.9552i | 0.115318 | − | 1.81519i | ||||
\(561\) | 1.86368 | − | 4.64323i | 0.0786846 | − | 0.196037i | ||||
\(562\) | 22.8762 | − | 3.28910i | 0.964974 | − | 0.138742i | ||||
\(563\) | 13.8279 | + | 13.4385i | 0.582777 | + | 0.566366i | 0.928200 | − | 0.372081i | \(-0.121356\pi\) |
−0.345423 | + | 0.938447i | \(0.612265\pi\) | |||||||
\(564\) | −0.256458 | − | 0.975669i | −0.0107989 | − | 0.0410831i | ||||
\(565\) | −1.55504 | − | 3.74554i | −0.0654208 | − | 0.157576i | ||||
\(566\) | −0.281703 | − | 1.39026i | −0.0118409 | − | 0.0584369i | ||||
\(567\) | −48.2442 | − | 4.14370i | −2.02607 | − | 0.174019i | ||||
\(568\) | −2.66317 | − | 2.90171i | −0.111744 | − | 0.121753i | ||||
\(569\) | 12.3010 | + | 11.2898i | 0.515687 | + | 0.473293i | 0.891255 | − | 0.453502i | \(-0.149825\pi\) |
−0.375569 | + | 0.926795i | \(0.622553\pi\) | |||||||
\(570\) | −14.4501 | + | 2.40666i | −0.605247 | + | 0.100804i | ||||
\(571\) | −4.49857 | + | 1.32090i | −0.188259 | + | 0.0552779i | −0.374503 | − | 0.927226i | \(-0.622187\pi\) |
0.186244 | + | 0.982504i | \(0.440369\pi\) | |||||||
\(572\) | 0.0212639 | − | 2.04198i | 0.000889087 | − | 0.0853797i | ||||
\(573\) | −10.2108 | + | 34.7749i | −0.426564 | + | 1.45274i | ||||
\(574\) | −6.90407 | + | 34.0729i | −0.288170 | + | 1.42218i | ||||
\(575\) | 7.90118 | + | 28.2248i | 0.329502 | + | 1.17706i | ||||
\(576\) | −3.68593 | − | 5.39050i | −0.153580 | − | 0.224604i | ||||
\(577\) | 11.5163 | − | 20.3927i | 0.479428 | − | 0.848958i | −0.520560 | − | 0.853825i | \(-0.674277\pi\) |
0.999988 | + | 0.00486768i | \(0.00154944\pi\) | |||||||
\(578\) | 14.2675 | + | 19.6375i | 0.593450 | + | 0.816814i | ||||
\(579\) | 41.4604 | − | 20.3847i | 1.72304 | − | 0.847160i | ||||
\(580\) | −0.796608 | − | 0.456534i | −0.0330774 | − | 0.0189565i | ||||
\(581\) | 35.6035 | − | 67.4761i | 1.47708 | − | 2.79938i | ||||
\(582\) | 25.6123 | − | 22.1932i | 1.06166 | − | 0.919936i | ||||
\(583\) | −7.66193 | + | 41.6859i | −0.317325 | + | 1.72645i | ||||
\(584\) | −4.94916 | + | 5.71164i | −0.204798 | + | 0.236349i | ||||
\(585\) | −2.96070 | − | 6.11920i | −0.122410 | − | 0.252998i | ||||
\(586\) | 1.02983 | − | 36.0486i | 0.0425417 | − | 1.48915i | ||||
\(587\) | 8.40243 | − | 10.2757i | 0.346805 | − | 0.424125i | −0.571127 | − | 0.820862i | \(-0.693494\pi\) |
0.917933 | + | 0.396736i | \(0.129857\pi\) | |||||||
\(588\) | −1.56760 | − | 4.39351i | −0.0646467 | − | 0.181185i | ||||
\(589\) | −22.9630 | − | 5.33981i | −0.946172 | − | 0.220023i | ||||
\(590\) | 33.0891 | − | 8.47424i | 1.36226 | − | 0.348879i | ||||
\(591\) | 10.5469 | + | 5.18557i | 0.433842 | + | 0.213306i | ||||
\(592\) | 9.26700 | + | 16.4097i | 0.380871 | + | 0.674436i | ||||
\(593\) | −19.3702 | − | 8.84607i | −0.795438 | − | 0.363264i | −0.0241159 | − | 0.999709i | \(-0.507677\pi\) |
−0.771322 | + | 0.636445i | \(0.780404\pi\) | |||||||
\(594\) | −19.9570 | + | 3.24004i | −0.818846 | + | 0.132940i | ||||
\(595\) | −6.61113 | + | 3.67852i | −0.271030 | + | 0.150805i | ||||
\(596\) | −1.45731 | − | 1.05880i | −0.0596937 | − | 0.0433700i | ||||
\(597\) | 6.56769 | − | 37.9511i | 0.268798 | − | 1.55323i | ||||
\(598\) | 11.1918 | − | 26.4829i | 0.457665 | − | 1.08297i | ||||
\(599\) | 3.42212 | − | 8.78964i | 0.139824 | − | 0.359135i | −0.844487 | − | 0.535576i | \(-0.820095\pi\) |
0.984311 | + | 0.176441i | \(0.0564583\pi\) | |||||||
\(600\) | −15.9406 | − | 21.2218i | −0.650770 | − | 0.866378i | ||||
\(601\) | 6.78583 | + | 0.778602i | 0.276800 | + | 0.0317598i | 0.251280 | − | 0.967914i | \(-0.419149\pi\) |
0.0255201 | + | 0.999674i | \(0.491876\pi\) | |||||||
\(602\) | 50.9251 | + | 16.5466i | 2.07555 | + | 0.674388i | ||||
\(603\) | −0.107139 | + | 1.87365i | −0.00436304 | + | 0.0763009i | ||||
\(604\) | −0.489519 | −0.0199182 | ||||||||
\(605\) | −23.7975 | − | 6.21941i | −0.967504 | − | 0.252855i | ||||
\(606\) | −31.0427 | −1.26102 | ||||||||
\(607\) | −0.894636 | + | 15.6454i | −0.0363122 | + | 0.635027i | 0.928378 | + | 0.371638i | \(0.121204\pi\) |
−0.964690 | + | 0.263389i | \(0.915160\pi\) | |||||||
\(608\) | 2.22884 | + | 0.724195i | 0.0903915 | + | 0.0293700i | ||||
\(609\) | 19.3069 | + | 2.21526i | 0.782356 | + | 0.0897669i | ||||
\(610\) | 9.35945 | + | 14.7681i | 0.378953 | + | 0.597944i | ||||
\(611\) | 3.30601 | − | 8.49141i | 0.133747 | − | 0.343526i | ||||
\(612\) | 0.0504656 | − | 0.119416i | 0.00203995 | − | 0.00482710i | ||||
\(613\) | 2.25927 | − | 13.0551i | 0.0912509 | − | 0.527289i | −0.903803 | − | 0.427949i | \(-0.859236\pi\) |
0.995054 | − | 0.0993394i | \(-0.0316730\pi\) | |||||||
\(614\) | −32.1781 | − | 23.3787i | −1.29860 | − | 0.943489i | ||||
\(615\) | 11.3993 | + | 20.4870i | 0.459662 | + | 0.826115i | ||||
\(616\) | 21.9477 | + | 32.8260i | 0.884299 | + | 1.32260i | ||||
\(617\) | 33.2473 | + | 15.1835i | 1.33849 | + | 0.611266i | 0.950593 | − | 0.310438i | \(-0.100476\pi\) |
0.387893 | + | 0.921705i | \(0.373203\pi\) | |||||||
\(618\) | 9.12526 | + | 16.1587i | 0.367072 | + | 0.649999i | ||||
\(619\) | −17.9944 | − | 8.84723i | −0.723255 | − | 0.355600i | 0.0421835 | − | 0.999110i | \(-0.486569\pi\) |
−0.765438 | + | 0.643510i | \(0.777478\pi\) | |||||||
\(620\) | 1.08400 | + | 4.23266i | 0.0435345 | + | 0.169988i | ||||
\(621\) | −23.5436 | − | 5.47482i | −0.944771 | − | 0.219697i | ||||
\(622\) | −11.3444 | − | 31.7949i | −0.454868 | − | 1.27486i | ||||
\(623\) | 0.665417 | − | 0.813771i | 0.0266594 | − | 0.0326030i | ||||
\(624\) | −0.813058 | + | 28.4608i | −0.0325484 | + | 1.13934i | ||||
\(625\) | −15.8884 | − | 19.3018i | −0.635535 | − | 0.772072i | ||||
\(626\) | 17.0795 | − | 19.7108i | 0.682633 | − | 0.787800i | ||||
\(627\) | 10.0502 | − | 10.7241i | 0.401365 | − | 0.428278i | ||||
\(628\) | −2.57098 | + | 2.22777i | −0.102593 | + | 0.0888976i | ||||
\(629\) | 1.54587 | − | 2.92974i | 0.0616377 | − | 0.116816i | ||||
\(630\) | −11.6656 | − | 6.68551i | −0.464768 | − | 0.266357i | ||||
\(631\) | −15.2020 | + | 7.47431i | −0.605181 | + | 0.297548i | −0.717973 | − | 0.696071i | \(-0.754930\pi\) |
0.112792 | + | 0.993619i | \(0.464021\pi\) | |||||||
\(632\) | 4.53426 | + | 6.24087i | 0.180363 | + | 0.248248i | ||||
\(633\) | 6.03219 | − | 10.6816i | 0.239758 | − | 0.424557i | ||||
\(634\) | −19.9942 | − | 29.2406i | −0.794071 | − | 1.16129i | ||||
\(635\) | 22.9520 | − | 4.49975i | 0.910821 | − | 0.178567i | ||||
\(636\) | −0.932112 | + | 4.60015i | −0.0369606 | + | 0.182408i | ||||
\(637\) | 11.8710 | − | 40.4288i | 0.470345 | − | 1.60185i | ||||
\(638\) | 10.7531 | − | 1.43194i | 0.425720 | − | 0.0566912i | ||||
\(639\) | −1.29101 | + | 0.379073i | −0.0510714 | + | 0.0149959i | ||||
\(640\) | 4.63914 | + | 27.8543i | 0.183378 | + | 1.10104i | ||||
\(641\) | −28.0497 | − | 25.7438i | −1.10790 | − | 1.01682i | −0.999743 | − | 0.0226837i | \(-0.992779\pi\) |
−0.108153 | − | 0.994134i | \(-0.534494\pi\) | |||||||
\(642\) | −17.1404 | − | 18.6757i | −0.676476 | − | 0.737069i | ||||
\(643\) | 40.6265 | + | 3.48941i | 1.60215 | + | 0.137609i | 0.851959 | − | 0.523609i | \(-0.175415\pi\) |
0.750194 | + | 0.661218i | \(0.229960\pi\) | |||||||
\(644\) | −0.958969 | − | 4.73270i | −0.0377887 | − | 0.186494i | ||||
\(645\) | 33.3499 | − | 13.8459i | 1.31315 | − | 0.545180i | ||||
\(646\) | −0.641519 | − | 2.44059i | −0.0252402 | − | 0.0960239i | ||||
\(647\) | 35.8341 | + | 34.8250i | 1.40878 | + | 1.36911i | 0.835178 | + | 0.549979i | \(0.185364\pi\) |
0.573605 | + | 0.819132i | \(0.305545\pi\) | |||||||
\(648\) | 28.9651 | − | 4.16456i | 1.13786 | − | 0.163599i | ||||
\(649\) | −21.2080 | + | 26.9187i | −0.832487 | + | 1.05665i | ||||
\(650\) | 0.390172 | + | 24.5199i | 0.0153038 | + | 0.961749i | ||||
\(651\) | −56.4725 | − | 73.2348i | −2.21333 | − | 2.87030i | ||||
\(652\) | 2.38904 | + | 2.92167i | 0.0935619 | + | 0.114421i | ||||
\(653\) | −15.5505 | − | 9.37728i | −0.608537 | − | 0.366961i | 0.178433 | − | 0.983952i | \(-0.442897\pi\) |
−0.786970 | + | 0.616991i | \(0.788352\pi\) | |||||||
\(654\) | −0.286255 | − | 0.294550i | −0.0111935 | − | 0.0115178i | ||||
\(655\) | −12.1764 | − | 7.93454i | −0.475770 | − | 0.310028i | ||||
\(656\) | −0.656118 | − | 22.9671i | −0.0256171 | − | 0.896716i | ||||
\(657\) | 1.00503 | + | 2.37819i | 0.0392101 | + | 0.0927822i | ||||
\(658\) | −4.08222 | − | 17.5549i | −0.159141 | − | 0.684362i | ||||
\(659\) | 0.194225 | − | 0.124821i | 0.00756593 | − | 0.00486233i | −0.536852 | − | 0.843676i | \(-0.680387\pi\) |
0.544418 | + | 0.838814i | \(0.316750\pi\) | |||||||
\(660\) | −2.62241 | − | 0.736446i | −0.102077 | − | 0.0286661i | ||||
\(661\) | −5.20903 | − | 3.34764i | −0.202608 | − | 0.130208i | 0.435403 | − | 0.900236i | \(-0.356606\pi\) |
−0.638010 | + | 0.770028i | \(0.720242\pi\) | |||||||
\(662\) | 1.05451 | − | 2.95547i | 0.0409847 | − | 0.114868i | ||||
\(663\) | 4.28577 | − | 2.58441i | 0.166445 | − | 0.100370i | ||||
\(664\) | −11.7211 | + | 44.5918i | −0.454868 | + | 1.73050i | ||||
\(665\) | −22.0176 | + | 3.02366i | −0.853806 | + | 0.117252i | ||||
\(666\) | 5.87744 | − | 0.336084i | 0.227746 | − | 0.0130230i | ||||
\(667\) | 12.5431 | + | 3.29701i | 0.485672 | + | 0.127661i | ||||
\(668\) | 3.74610 | − | 2.25898i | 0.144941 | − | 0.0874026i | ||||
\(669\) | 2.54944 | + | 0.909640i | 0.0985672 | + | 0.0351687i | ||||
\(670\) | 3.19723 | − | 5.96768i | 0.123520 | − | 0.230551i | ||||
\(671\) | −16.4593 | − | 6.06660i | −0.635404 | − | 0.234198i | ||||
\(672\) | 4.97009 | + | 7.73361i | 0.191725 | + | 0.298331i | ||||
\(673\) | −10.4209 | − | 44.8133i | −0.401696 | − | 1.72743i | −0.651070 | − | 0.759018i | \(-0.725679\pi\) |
0.249374 | − | 0.968407i | \(-0.419775\pi\) | |||||||
\(674\) | 18.2638 | − | 7.71834i | 0.703495 | − | 0.297299i | ||||
\(675\) | 20.2569 | − | 3.83851i | 0.779690 | − | 0.147744i | ||||
\(676\) | −0.225960 | + | 0.293030i | −0.00869075 | + | 0.0112704i | ||||
\(677\) | −6.77779 | + | 6.58693i | −0.260491 | + | 0.253156i | −0.815592 | − | 0.578627i | \(-0.803589\pi\) |
0.555101 | + | 0.831783i | \(0.312680\pi\) | |||||||
\(678\) | 4.54400 | + | 2.74013i | 0.174511 | + | 0.105234i | ||||
\(679\) | 39.8021 | − | 32.5461i | 1.52747 | − | 1.24900i | ||||
\(680\) | 3.38799 | − | 3.07022i | 0.129923 | − | 0.117738i | ||||
\(681\) | −0.133080 | + | 0.925589i | −0.00509962 | + | 0.0354687i | ||||
\(682\) | −40.5500 | − | 31.9475i | −1.55274 | − | 1.22333i | ||||
\(683\) | −0.581922 | + | 0.0836677i | −0.0222666 | + | 0.00320145i | −0.153439 | − | 0.988158i | \(-0.549035\pi\) |
0.131173 | + | 0.991360i | \(0.458126\pi\) | |||||||
\(684\) | 0.265412 | − | 0.273103i | 0.0101483 | − | 0.0104424i | ||||
\(685\) | 12.5833 | + | 35.9845i | 0.480782 | + | 1.37490i | ||||
\(686\) | −11.5596 | − | 35.5768i | −0.441347 | − | 1.35833i | ||||
\(687\) | −23.6725 | + | 4.79666i | −0.903161 | + | 0.183004i | ||||
\(688\) | −35.2588 | − | 3.02838i | −1.34423 | − | 0.115456i | ||||
\(689\) | −31.2350 | + | 28.6672i | −1.18996 | + | 1.09213i | ||||
\(690\) | −30.2200 | − | 23.6094i | −1.15046 | − | 0.898793i | ||||
\(691\) | 2.01309 | + | 23.4380i | 0.0765815 | + | 0.891622i | 0.929318 | + | 0.369281i | \(0.120396\pi\) |
−0.852736 | + | 0.522342i | \(0.825059\pi\) | |||||||
\(692\) | 0.339381 | + | 1.15583i | 0.0129013 | + | 0.0439379i | ||||
\(693\) | 13.3717 | − | 1.78065i | 0.507949 | − | 0.0676414i | ||||
\(694\) | 4.83082 | + | 1.41846i | 0.183375 | + | 0.0538439i | ||||
\(695\) | −21.5667 | − | 2.61285i | −0.818073 | − | 0.0991109i | ||||
\(696\) | −11.6678 | + | 1.33876i | −0.442269 | + | 0.0507456i | ||||
\(697\) | −3.33381 | + | 2.27960i | −0.126277 | + | 0.0863460i | ||||
\(698\) | −14.9608 | + | 26.4922i | −0.566275 | + | 1.00274i | ||||
\(699\) | −2.00969 | + | 1.46013i | −0.0760136 | + | 0.0552271i | ||||
\(700\) | 2.37864 | + | 3.36255i | 0.0899041 | + | 0.127092i | ||||
\(701\) | −7.56861 | + | 11.0687i | −0.285862 | + | 0.418060i | −0.941499 | − | 0.337016i | \(-0.890582\pi\) |
0.655636 | + | 0.755077i | \(0.272400\pi\) | |||||||
\(702\) | −17.8868 | − | 9.43789i | −0.675094 | − | 0.356210i | ||||
\(703\) | 7.35403 | − | 6.37230i | 0.277362 | − | 0.240336i | ||||
\(704\) | −17.2456 | − | 16.1619i | −0.649967 | − | 0.609124i | ||||
\(705\) | −9.78776 | − | 7.20624i | −0.368628 | − | 0.271403i | ||||
\(706\) | −0.265146 | − | 0.681021i | −0.00997889 | − | 0.0256306i | ||||
\(707\) | −47.0758 | − | 1.34485i | −1.77047 | − | 0.0505782i | ||||
\(708\) | −2.40229 | + | 2.93787i | −0.0902834 | + | 0.110412i | ||||
\(709\) | −12.4822 | + | 4.45365i | −0.468780 | + | 0.167260i | −0.559867 | − | 0.828583i | \(-0.689148\pi\) |
0.0910867 | + | 0.995843i | \(0.470966\pi\) | |||||||
\(710\) | 4.80002 | + | 0.721152i | 0.180142 | + | 0.0270644i | ||||
\(711\) | 2.59673 | − | 0.449381i | 0.0973848 | − | 0.0168531i | ||||
\(712\) | −0.280295 | + | 0.570092i | −0.0105045 | + | 0.0213651i | ||||
\(713\) | −30.3484 | − | 53.7401i | −1.13656 | − | 2.01258i | ||||
\(714\) | 4.11214 | − | 9.00432i | 0.153893 | − | 0.336978i | ||||
\(715\) | −15.2535 | − | 19.3047i | −0.570448 | − | 0.721956i | ||||
\(716\) | 0.972681 | + | 2.12987i | 0.0363508 | + | 0.0795971i | ||||
\(717\) | 3.13491 | − | 4.31483i | 0.117075 | − | 0.161140i | ||||
\(718\) | −3.68080 | + | 21.2693i | −0.137366 | + | 0.793764i | ||||
\(719\) | 27.3342 | + | 11.5515i | 1.01939 | + | 0.430799i | 0.833941 | − | 0.551854i | \(-0.186079\pi\) |
0.185453 | + | 0.982653i | \(0.440625\pi\) | |||||||
\(720\) | 8.51021 | + | 2.55739i | 0.317157 | + | 0.0953085i | ||||
\(721\) | 13.1383 | + | 24.8998i | 0.489296 | + | 0.927318i | ||||
\(722\) | −2.35692 | + | 20.5415i | −0.0877153 | + | 0.764475i | ||||
\(723\) | 30.4480 | + | 9.89317i | 1.13237 | + | 0.367931i | ||||
\(724\) | −2.53657 | − | 0.145046i | −0.0942709 | − | 0.00539060i | ||||
\(725\) | −10.9231 | + | 1.74832i | −0.405675 | + | 0.0649311i | ||||
\(726\) | 29.8984 | − | 11.9076i | 1.10963 | − | 0.441933i | ||||
\(727\) | − | 20.2171i | − | 0.749811i | −0.927063 | − | 0.374905i | \(-0.877675\pi\) | ||
0.927063 | − | 0.374905i | \(-0.122325\pi\) | |||||||
\(728\) | −2.25492 | + | 39.4340i | −0.0835729 | + | 1.46152i | ||||
\(729\) | −4.47579 | + | 13.7751i | −0.165770 | + | 0.510187i | ||||
\(730\) | 0.324844 | − | 9.30826i | 0.0120230 | − | 0.344514i | ||||
\(731\) | 2.90285 | + | 5.50151i | 0.107366 | + | 0.203481i | ||||
\(732\) | −1.81022 | − | 0.704781i | −0.0669075 | − | 0.0260495i | ||||
\(733\) | −4.48273 | + | 10.6074i | −0.165573 | + | 0.391793i | −0.982838 | − | 0.184468i | \(-0.940944\pi\) |
0.817265 | + | 0.576262i | \(0.195489\pi\) | |||||||
\(734\) | −36.5590 | − | 6.32678i | −1.34942 | − | 0.233526i | ||||
\(735\) | −47.9445 | − | 29.3267i | −1.76846 | − | 1.08173i | ||||
\(736\) | 2.54858 | + | 5.58062i | 0.0939420 | + | 0.205704i | ||||
\(737\) | 1.08851 | + | 6.70468i | 0.0400958 | + | 0.246970i | ||||
\(738\) | −6.52885 | − | 2.98163i | −0.240330 | − | 0.109755i | ||||
\(739\) | −11.1753 | + | 6.31098i | −0.411090 | + | 0.232153i | −0.683381 | − | 0.730062i | \(-0.739491\pi\) |
0.272291 | + | 0.962215i | \(0.412219\pi\) | |||||||
\(740\) | −1.67635 | − | 0.664903i | −0.0616240 | − | 0.0244423i | ||||
\(741\) | 14.4862 | − | 2.50693i | 0.532162 | − | 0.0920943i | ||||
\(742\) | −18.9931 | + | 81.6767i | −0.697259 | + | 2.99845i | ||||
\(743\) | 4.49020 | + | 12.5847i | 0.164730 | + | 0.461687i | 0.995481 | − | 0.0949558i | \(-0.0302710\pi\) |
−0.830752 | + | 0.556643i | \(0.812089\pi\) | |||||||
\(744\) | 43.2657 | + | 35.3782i | 1.58620 | + | 1.29703i | ||||
\(745\) | −21.6749 | + | 1.10193i | −0.794107 | + | 0.0403718i | ||||
\(746\) | 8.63365 | + | 22.1753i | 0.316100 | + | 0.811897i | ||||
\(747\) | 11.9038 | + | 10.3147i | 0.435539 | + | 0.377397i | ||||
\(748\) | 0.0848221 | − | 0.461488i | 0.00310140 | − | 0.0168737i | ||||
\(749\) | −25.1840 | − | 29.0639i | −0.920205 | − | 1.06197i | ||||
\(750\) | 31.7137 | + | 8.01183i | 1.15802 | + | 0.292551i | ||||
\(751\) | 13.1147 | − | 19.1797i | 0.478564 | − | 0.699877i | −0.508346 | − | 0.861153i | \(-0.669743\pi\) |
0.986909 | + | 0.161276i | \(0.0515610\pi\) | |||||||
\(752\) | 5.25567 | + | 10.6895i | 0.191654 | + | 0.389806i | ||||
\(753\) | 28.0691 | + | 38.6337i | 1.02289 | + | 1.40789i | ||||
\(754\) | 9.44855 | + | 5.33584i | 0.344096 | + | 0.194320i | ||||
\(755\) | −4.58929 | + | 3.70446i | −0.167021 | + | 0.134819i | ||||
\(756\) | −3.37463 | + | 0.387203i | −0.122734 | + | 0.0140824i | ||||
\(757\) | 39.7742 | + | 8.05930i | 1.44562 | + | 0.292920i | 0.856927 | − | 0.515437i | \(-0.172370\pi\) |
0.588692 | + | 0.808358i | \(0.299643\pi\) | |||||||
\(758\) | −3.44578 | + | 11.7353i | −0.125156 | + | 0.426244i | ||||
\(759\) | 38.4732 | + | 0.400634i | 1.39649 | + | 0.0145421i | ||||
\(760\) | 12.5463 | − | 4.79358i | 0.455104 | − | 0.173882i | ||||
\(761\) | 1.39590 | + | 16.2522i | 0.0506015 | + | 0.589142i | 0.977091 | + | 0.212822i | \(0.0682653\pi\) |
−0.926490 | + | 0.376320i | \(0.877189\pi\) | |||||||
\(762\) | −20.6923 | + | 22.5458i | −0.749605 | + | 0.816748i | ||||
\(763\) | −0.421342 | − | 0.459082i | −0.0152536 | − | 0.0166199i | ||||
\(764\) | −0.290864 | + | 3.38647i | −0.0105231 | + | 0.122518i | ||||
\(765\) | −0.430567 | − | 1.50144i | −0.0155672 | − | 0.0542846i | ||||
\(766\) | 16.4300 | + | 50.5663i | 0.593640 | + | 1.82704i | ||||
\(767\) | −33.1529 | + | 8.71437i | −1.19708 | + | 0.314658i | ||||
\(768\) | −6.26864 | − | 6.09211i | −0.226200 | − | 0.219830i | ||||
\(769\) | −5.74952 | − | 39.9888i | −0.207333 | − | 1.44203i | −0.781813 | − | 0.623513i | \(-0.785705\pi\) |
0.574480 | − | 0.818519i | \(-0.305204\pi\) | |||||||
\(770\) | −46.4567 | − | 14.4898i | −1.67418 | − | 0.522176i | ||||
\(771\) | −7.30640 | + | 50.8171i | −0.263134 | + | 1.83013i | ||||
\(772\) | 3.43115 | − | 2.64581i | 0.123490 | − | 0.0952248i | ||||
\(773\) | −10.9230 | − | 13.3583i | −0.392873 | − | 0.480464i | 0.539487 | − | 0.841994i | \(-0.318618\pi\) |
−0.932360 | + | 0.361530i | \(0.882255\pi\) | |||||||
\(774\) | −5.70866 | + | 9.46675i | −0.205194 | + | 0.340275i | ||||
\(775\) | 42.1935 | + | 31.4784i | 1.51564 | + | 1.13074i | ||||
\(776\) | −18.9738 | + | 24.6057i | −0.681120 | + | 0.883293i | ||||
\(777\) | 38.1551 | − | 1.09000i | 1.36881 | − | 0.0391036i | ||||
\(778\) | 4.71629 | + | 11.1601i | 0.169087 | + | 0.400109i | ||||
\(779\) | −11.5554 | + | 2.68710i | −0.414016 | + | 0.0962752i | ||||
\(780\) | −1.65010 | − | 2.16811i | −0.0590832 | − | 0.0776309i | ||||
\(781\) | −4.26512 | + | 2.35039i | −0.152618 | + | 0.0841035i | ||||
\(782\) | 3.57154 | − | 5.55742i | 0.127718 | − | 0.198733i | ||||
\(783\) | 3.06575 | − | 8.59238i | 0.109561 | − | 0.307066i | ||||
\(784\) | 28.4432 | + | 47.1677i | 1.01583 | + | 1.68456i | ||||
\(785\) | −7.24446 | + | 40.3416i | −0.258566 | + | 1.43985i | ||||
\(786\) | 18.9846 | − | 1.08558i | 0.677157 | − | 0.0387212i | ||||
\(787\) | −0.147190 | − | 2.57406i | −0.00524677 | − | 0.0917554i | 0.994691 | − | 0.102906i | \(-0.0328142\pi\) |
−0.999938 | + | 0.0111508i | \(0.996451\pi\) | |||||||
\(788\) | 1.06599 | + | 0.280199i | 0.0379742 | + | 0.00998168i | ||||
\(789\) | −17.1917 | − | 28.5092i | −0.612039 | − | 1.01495i | ||||
\(790\) | −9.17907 | − | 2.47492i | −0.326577 | − | 0.0880538i | ||||
\(791\) | 6.77220 | + | 4.35223i | 0.240792 | + | 0.154748i | ||||
\(792\) | −7.62725 | + | 2.87846i | −0.271022 | + | 0.102282i | ||||
\(793\) | −9.48645 | − | 14.7612i | −0.336874 | − | 0.524185i | ||||
\(794\) | 14.0908 | − | 3.27668i | 0.500065 | − | 0.116285i | ||||
\(795\) | 26.0733 | + | 50.1807i | 0.924724 | + | 1.77973i | ||||
\(796\) | −0.103145 | − | 3.61056i | −0.00365589 | − | 0.127973i | ||||
\(797\) | −23.6117 | − | 18.2074i | −0.836370 | − | 0.644937i | 0.100375 | − | 0.994950i | \(-0.467996\pi\) |
−0.936745 | + | 0.350012i | \(0.886177\pi\) | |||||||
\(798\) | 20.8529 | − | 20.2657i | 0.738186 | − | 0.717399i | ||||
\(799\) | 1.08121 | − | 1.79298i | 0.0382504 | − | 0.0634312i | ||||
\(800\) | −3.91110 | − | 3.47657i | −0.138278 | − | 0.122915i | ||||
\(801\) | 0.132525 | + | 0.171861i | 0.00468253 | + | 0.00607241i | ||||
\(802\) | −17.3973 | − | 2.50135i | −0.614318 | − | 0.0883256i | ||||
\(803\) | 5.41359 | + | 7.61671i | 0.191041 | + | 0.268788i | ||||
\(804\) | 0.107049 | + | 0.744544i | 0.00377533 | + | 0.0262580i | ||||
\(805\) | −44.8054 | − | 37.1125i | −1.57918 | − | 1.30804i | ||||
\(806\) | −13.1272 | − | 49.9412i | −0.462387 | − | 1.75910i | ||||
\(807\) | −39.9637 | + | 12.9850i | −1.40679 | + | 0.457094i | ||||
\(808\) | 27.8943 | − | 5.65211i | 0.981317 | − | 0.198841i | ||||
\(809\) | −1.23281 | + | 14.3533i | −0.0433432 | + | 0.504635i | 0.942182 | + | 0.335103i | \(0.108771\pi\) |
−0.985525 | + | 0.169532i | \(0.945774\pi\) | |||||||
\(810\) | −24.5528 | + | 26.4148i | −0.862699 | + | 0.928121i | ||||
\(811\) | −1.53749 | − | 1.41109i | −0.0539885 | − | 0.0495502i | 0.648727 | − | 0.761022i | \(-0.275302\pi\) |
−0.702715 | + | 0.711471i | \(0.748029\pi\) | |||||||
\(812\) | 1.81584 | − | 0.155962i | 0.0637233 | − | 0.00547320i | ||||
\(813\) | 10.0486 | + | 34.2225i | 0.352421 | + | 1.20024i | ||||
\(814\) | 20.5056 | − | 5.78974i | 0.718719 | − | 0.202930i | ||||
\(815\) | 44.5074 | + | 9.31178i | 1.55903 | + | 0.326178i | ||||
\(816\) | −1.29921 | + | 6.41188i | −0.0454816 | + | 0.224461i | ||||
\(817\) | 2.08292 | + | 18.1535i | 0.0728721 | + | 0.635110i | ||||
\(818\) | 13.8468 | − | 9.46819i | 0.484141 | − | 0.331047i | ||||
\(819\) | 11.7495 | + | 6.63523i | 0.410559 | + | 0.231854i | ||||
\(820\) | 1.42931 | + | 1.67074i | 0.0499135 | + | 0.0583448i | ||||
\(821\) | 7.39419 | − | 3.63548i | 0.258059 | − | 0.126879i | −0.307607 | − | 0.951513i | \(-0.599528\pi\) |
0.565666 | + | 0.824634i | \(0.308619\pi\) | |||||||
\(822\) | −41.1727 | − | 28.1532i | −1.43606 | − | 0.981954i | ||||
\(823\) | −41.8350 | − | 22.0740i | −1.45827 | − | 0.769453i | −0.465009 | − | 0.885306i | \(-0.653949\pi\) |
−0.993266 | + | 0.115854i | \(0.963040\pi\) | |||||||
\(824\) | −11.1419 | − | 12.8584i | −0.388146 | − | 0.447944i | ||||
\(825\) | −30.1584 | + | 12.9409i | −1.04998 | + | 0.450546i | ||||
\(826\) | −44.4003 | + | 51.2406i | −1.54488 | + | 1.78289i | ||||
\(827\) | 36.8359 | − | 14.3415i | 1.28091 | − | 0.498703i | 0.376915 | − | 0.926248i | \(-0.376985\pi\) |
0.903994 | + | 0.427545i | \(0.140621\pi\) | |||||||
\(828\) | 0.996537 | + | 0.0284688i | 0.0346321 | + | 0.000989358i | ||||
\(829\) | −8.14824 | − | 6.66278i | −0.283000 | − | 0.231408i | 0.480848 | − | 0.876804i | \(-0.340329\pi\) |
−0.763848 | + | 0.645396i | \(0.776692\pi\) | |||||||
\(830\) | −23.2772 | − | 51.8350i | −0.807962 | − | 1.79922i | ||||
\(831\) | −20.4842 | − | 4.76340i | −0.710590 | − | 0.165241i | ||||
\(832\) | −4.03144 | − | 23.2955i | −0.139765 | − | 0.807626i | ||||
\(833\) | 4.27173 | − | 8.68827i | 0.148007 | − | 0.301031i | ||||
\(834\) | 24.7503 | − | 13.9771i | 0.857033 | − | 0.483989i | ||||
\(835\) | 18.0251 | − | 49.5270i | 0.623784 | − | 1.71395i | ||||
\(836\) | 0.724026 | − | 1.17287i | 0.0250410 | − | 0.0405645i | ||||
\(837\) | −39.4905 | + | 18.0347i | −1.36499 | + | 0.623371i | ||||
\(838\) | −16.2372 | + | 22.3486i | −0.560905 | + | 0.772020i | ||||
\(839\) | −36.4361 | − | 6.30551i | −1.25791 | − | 0.217690i | −0.497691 | − | 0.867354i | \(-0.665819\pi\) |
−0.760222 | + | 0.649664i | \(0.774910\pi\) | |||||||
\(840\) | 50.0025 | + | 16.5971i | 1.72525 | + | 0.572656i | ||||
\(841\) | 8.74553 | − | 22.4627i | 0.301570 | − | 0.774576i | ||||
\(842\) | −13.4356 | + | 7.08925i | −0.463022 | + | 0.244312i | ||||
\(843\) | −3.52660 | + | 30.7357i | −0.121462 | + | 1.05860i | ||||
\(844\) | 0.355507 | − | 1.09414i | 0.0122370 | − | 0.0376618i | ||||
\(845\) | 0.0991233 | + | 4.45715i | 0.00340994 | + | 0.153330i | ||||
\(846\) | 3.72099 | 0.127930 | ||||||||
\(847\) | 45.8564 | − | 16.7625i | 1.57565 | − | 0.575965i | ||||
\(848\) | − | 55.4206i | − | 1.90315i | ||||||
\(849\) | 1.89575 | + | 0.108403i | 0.0650619 | + | 0.00372037i | ||||
\(850\) | −0.872385 | + | 5.56678i | −0.0299226 | + | 0.190939i | ||||
\(851\) | 25.3076 | + | 2.90377i | 0.867532 | + | 0.0995400i | ||||
\(852\) | −0.476966 | + | 0.251669i | −0.0163406 | + | 0.00862204i | ||||
\(853\) | 45.9078 | + | 17.8735i | 1.57185 | + | 0.611979i | 0.980863 | − | 0.194699i | \(-0.0623731\pi\) |
0.590991 | + | 0.806678i | \(0.298737\pi\) | |||||||
\(854\) | −31.9683 | − | 13.5099i | −1.09393 | − | 0.462300i | ||||
\(855\) | 0.421547 | − | 4.56889i | 0.0144166 | − | 0.156253i | ||||
\(856\) | 18.8023 | + | 13.6607i | 0.642651 | + | 0.466913i | ||||
\(857\) | −20.4849 | + | 9.35514i | −0.699751 | + | 0.319566i | −0.733332 | − | 0.679870i | \(-0.762036\pi\) |
0.0335812 | + | 0.999436i | \(0.489309\pi\) | |||||||
\(858\) | 31.0470 | + | 8.50741i | 1.05993 | + | 0.290438i | ||||
\(859\) | −2.14702 | + | 4.70132i | −0.0732554 | + | 0.160407i | −0.942717 | − | 0.333594i | \(-0.891739\pi\) |
0.869462 | + | 0.494001i | \(0.164466\pi\) | |||||||
\(860\) | 2.80746 | − | 1.89374i | 0.0957335 | − | 0.0645762i | ||||
\(861\) | −41.7627 | − | 20.5333i | −1.42327 | − | 0.699775i | ||||
\(862\) | 6.36269 | + | 36.7665i | 0.216714 | + | 1.25227i | ||||
\(863\) | 2.16436 | − | 9.30748i | 0.0736757 | − | 0.316830i | −0.924205 | − | 0.381896i | \(-0.875271\pi\) |
0.997881 | + | 0.0650659i | \(0.0207258\pi\) | |||||||
\(864\) | 4.06458 | − | 1.45024i | 0.138280 | − | 0.0493381i | ||||
\(865\) | 11.9285 | + | 8.26770i | 0.405581 | + | 0.281110i | ||||
\(866\) | −1.06530 | + | 37.2905i | −0.0362005 | + | 1.26718i | ||||
\(867\) | −30.2788 | + | 11.7886i | −1.02832 | + | 0.400362i | ||||
\(868\) | −6.55456 | − | 5.67956i | −0.222476 | − | 0.192777i | ||||
\(869\) | 8.82400 | − | 3.62123i | 0.299334 | − | 0.122842i | ||||
\(870\) | 10.1527 | − | 10.3156i | 0.344210 | − | 0.349731i | ||||
\(871\) | −3.17072 | + | 6.00918i | −0.107436 | + | 0.203613i | ||||
\(872\) | 0.310853 | + | 0.212556i | 0.0105268 | + | 0.00719806i | ||||
\(873\) | 4.68346 | + | 9.52567i | 0.158511 | + | 0.322395i | ||||
\(874\) | 15.6995 | − | 11.4064i | 0.531045 | − | 0.385827i | ||||
\(875\) | 47.7463 | + | 13.5238i | 1.61412 | + | 0.457186i | ||||
\(876\) | 0.584098 | + | 0.854216i | 0.0197348 | + | 0.0288613i | ||||
\(877\) | 2.41879 | + | 21.0807i | 0.0816766 | + | 0.711845i | 0.968375 | + | 0.249498i | \(0.0802655\pi\) |
−0.886699 | + | 0.462348i | \(0.847007\pi\) | |||||||
\(878\) | 35.9261 | + | 7.27958i | 1.21245 | + | 0.245674i | ||||
\(879\) | 46.3195 | + | 13.6006i | 1.56232 | + | 0.458738i | ||||
\(880\) | 32.0744 | + | 2.37325i | 1.08123 | + | 0.0800021i | ||||
\(881\) | −18.1381 | + | 5.32583i | −0.611088 | + | 0.179432i | −0.572610 | − | 0.819828i | \(-0.694069\pi\) |
−0.0384781 | + | 0.999259i | \(0.512251\pi\) | |||||||
\(882\) | 17.1429 | − | 1.47241i | 0.577232 | − | 0.0495785i | ||||
\(883\) | 38.1410 | − | 41.5574i | 1.28355 | − | 1.39852i | 0.409771 | − | 0.912188i | \(-0.365609\pi\) |
0.873776 | − | 0.486329i | \(-0.161664\pi\) | |||||||
\(884\) | 0.345790 | − | 0.317363i | 0.0116302 | − | 0.0106741i | ||||
\(885\) | −0.289170 | + | 45.7223i | −0.00972036 | + | 1.53694i | ||||
\(886\) | −3.89061 | − | 19.2009i | −0.130707 | − | 0.645067i | ||||
\(887\) | −50.7487 | + | 16.4893i | −1.70398 | + | 0.553655i | −0.989312 | − | 0.145814i | \(-0.953420\pi\) |
−0.714663 | + | 0.699469i | \(0.753420\pi\) | |||||||
\(888\) | −22.3100 | + | 5.86427i | −0.748675 | + | 0.196792i | ||||
\(889\) | −32.3564 | + | 33.2940i | −1.08520 | + | 1.11664i | ||||
\(890\) | −0.172499 | − | 0.763666i | −0.00578220 | − | 0.0255982i | ||||
\(891\) | 3.47151 | − | 36.0153i | 0.116300 | − | 1.20656i | ||||
\(892\) | 0.251271 | + | 0.0361273i | 0.00841318 | + | 0.00120963i | ||||
\(893\) | 4.87058 | − | 3.75578i | 0.162988 | − | 0.125682i | ||||
\(894\) | 21.9826 | − | 17.9751i | 0.735208 | − | 0.601177i | ||||
\(895\) | 25.2369 | + | 12.6070i | 0.843577 | + | 0.421405i | ||||
\(896\) | −39.0647 | − | 40.1966i | −1.30506 | − | 1.34288i | ||||
\(897\) | 30.4772 | + | 23.5015i | 1.01761 | + | 0.784691i | ||||
\(898\) | −1.35745 | + | 0.0387791i | −0.0452986 | + | 0.00129408i | ||||
\(899\) | 21.4561 | − | 9.06743i | 0.715601 | − | 0.302416i | ||||
\(900\) | −0.787400 | + | 0.321081i | −0.0262467 | + | 0.0107027i | ||||
\(901\) | −8.19506 | + | 5.26665i | −0.273017 | + | 0.175457i | ||||
\(902\) | −25.4052 | − | 5.42377i | −0.845902 | − | 0.180592i | ||||
\(903\) | −38.7518 | + | 60.2989i | −1.28958 | + | 2.00662i | ||||
\(904\) | −4.58205 | − | 1.63487i | −0.152397 | − | 0.0543751i | ||||
\(905\) | −24.8783 | + | 17.8358i | −0.826981 | + | 0.592883i | ||||
\(906\) | 1.96174 | − | 7.46323i | 0.0651744 | − | 0.247949i | ||||
\(907\) | 0.0915221 | + | 1.60054i | 0.00303894 | + | 0.0531450i | 0.999535 | − | 0.0304961i | \(-0.00970871\pi\) |
−0.996496 | + | 0.0836411i | \(0.973345\pi\) | |||||||
\(908\) | 0.00500647 | + | 0.0875532i | 0.000166146 | + | 0.00290556i | ||||
\(909\) | 2.47176 | − | 9.40354i | 0.0819830 | − | 0.311896i | ||||
\(910\) | −28.3624 | − | 39.5613i | −0.940205 | − | 1.31144i | ||||
\(911\) | 3.40415 | + | 1.21460i | 0.112785 | + | 0.0402414i | 0.391839 | − | 0.920034i | \(-0.371839\pi\) |
−0.279054 | + | 0.960275i | \(0.590021\pi\) | |||||||
\(912\) | −10.3900 | + | 16.1671i | −0.344046 | + | 0.535346i | ||||
\(913\) | 50.1405 | + | 27.1276i | 1.65941 | + | 0.897792i | ||||
\(914\) | −29.2838 | + | 18.8196i | −0.968622 | + | 0.622496i | ||||
\(915\) | −22.3044 | + | 7.09151i | −0.737362 | + | 0.234438i | ||||
\(916\) | −2.08650 | + | 0.881762i | −0.0689399 | + | 0.0291342i | ||||
\(917\) | 28.8369 | − | 0.823803i | 0.952277 | − | 0.0272044i | ||||
\(918\) | −3.67992 | − | 2.83764i | −0.121455 | − | 0.0936561i | ||||
\(919\) | 1.23408 | + | 1.26984i | 0.0407084 | + | 0.0418880i | 0.737180 | − | 0.675696i | \(-0.236157\pi\) |
−0.696472 | + | 0.717584i | \(0.745248\pi\) | |||||||
\(920\) | 31.4537 | + | 15.7126i | 1.03700 | + | 0.518027i | ||||
\(921\) | 41.2173 | − | 33.7032i | 1.35816 | − | 1.11056i | ||||
\(922\) | −20.7860 | + | 16.0284i | −0.684551 | + | 0.527867i | ||||
\(923\) | −4.82165 | − | 0.693249i | −0.158707 | − | 0.0228186i | ||||
\(924\) | 5.11100 | − | 1.76383i | 0.168140 | − | 0.0580256i | ||||
\(925\) | −20.7477 | + | 6.45236i | −0.682179 | + | 0.212152i | ||||
\(926\) | −17.3783 | + | 17.8818i | −0.571085 | + | 0.587633i | ||||
\(927\) | −5.62145 | + | 1.47762i | −0.184633 | + | 0.0485314i | ||||
\(928\) | −2.20216 | + | 0.715525i | −0.0722894 | + | 0.0234883i | ||||
\(929\) | 2.95510 | + | 14.5840i | 0.0969537 | + | 0.478485i | 0.998911 | + | 0.0466597i | \(0.0148576\pi\) |
−0.901957 | + | 0.431825i | \(0.857870\pi\) | |||||||
\(930\) | −68.8756 | − | 0.435603i | −2.25852 | − | 0.0142840i | ||||
\(931\) | 20.9530 | − | 19.2305i | 0.686706 | − | 0.630253i | ||||
\(932\) | −0.157526 | + | 0.171635i | −0.00515992 | + | 0.00562210i | ||||
\(933\) | 45.0234 | − | 3.86707i | 1.47400 | − | 0.126602i | ||||
\(934\) | 9.15595 | − | 2.68843i | 0.299592 | − | 0.0879681i | ||||
\(935\) | −2.69712 | − | 4.96839i | −0.0882052 | − | 0.162484i | ||||
\(936\) | −7.82431 | − | 2.29742i | −0.255746 | − | 0.0750937i | ||||
\(937\) | −18.5064 | − | 3.74987i | −0.604576 | − | 0.122503i | −0.113380 | − | 0.993552i | \(-0.536168\pi\) |
−0.491197 | + | 0.871049i | \(0.663440\pi\) | |||||||
\(938\) | 1.53190 | + | 13.3511i | 0.0500182 | + | 0.435929i | ||||
\(939\) | 19.7062 | + | 28.8194i | 0.643087 | + | 0.940484i | ||||
\(940\) | −1.03384 | − | 0.480066i | −0.0337203 | − | 0.0156580i | ||||
\(941\) | 27.6097 | − | 20.0596i | 0.900049 | − | 0.653924i | −0.0384296 | − | 0.999261i | \(-0.512236\pi\) |
0.938479 | + | 0.345337i | \(0.112236\pi\) | |||||||
\(942\) | −23.6615 | − | 48.1251i | −0.770934 | − | 1.56800i | ||||
\(943\) | −25.6370 | − | 17.5301i | −0.834855 | − | 0.570859i | ||||
\(944\) | 20.9113 | − | 39.6313i | 0.680605 | − | 1.28989i | ||||
\(945\) | −28.7073 | + | 29.1678i | −0.933850 | + | 0.948828i | ||||
\(946\) | −12.7597 | + | 37.9220i | −0.414853 | + | 1.23295i | ||||
\(947\) | −2.78126 | − | 2.40997i | −0.0903788 | − | 0.0783137i | 0.608500 | − | 0.793554i | \(-0.291772\pi\) |
−0.698878 | + | 0.715241i | \(0.746317\pi\) | |||||||
\(948\) | 0.984289 | − | 0.383219i | 0.0319682 | − | 0.0124464i | ||||
\(949\) | −0.266920 | + | 9.34340i | −0.00866458 | + | 0.303300i | ||||
\(950\) | −8.32090 | + | 14.3086i | −0.269966 | + | 0.464234i | ||||
\(951\) | 44.6601 | − | 15.9347i | 1.44820 | − | 0.516718i | ||||
\(952\) | −2.05561 | + | 8.83981i | −0.0666227 | + | 0.286500i | ||||
\(953\) | 9.93638 | + | 57.4169i | 0.321871 | + | 1.85991i | 0.486668 | + | 0.873587i | \(0.338212\pi\) |
−0.164797 | + | 0.986328i | \(0.552697\pi\) | |||||||
\(954\) | −15.5362 | − | 7.63861i | −0.503001 | − | 0.247309i | ||||
\(955\) | 22.9004 | + | 33.9497i | 0.741041 | + | 1.09859i | ||||
\(956\) | 0.207782 | − | 0.454979i | 0.00672014 | − | 0.0147151i | ||||
\(957\) | −1.80544 | + | 14.4087i | −0.0583617 | + | 0.465767i | ||||
\(958\) | 19.7108 | − | 9.00162i | 0.636827 | − | 0.290829i | ||||
\(959\) | −61.2181 | − | 44.4776i | −1.97684 | − | 1.43626i | ||||
\(960\) | −31.4012 | − | 2.89722i | −1.01347 | − | 0.0935074i | ||||
\(961\) | −73.5494 | − | 31.0822i | −2.37256 | − | 1.00265i | ||||
\(962\) | 19.8611 | + | 7.73262i | 0.640347 | + | 0.249310i | ||||
\(963\) | 7.02208 | − | 3.70517i | 0.226283 | − | 0.119397i | ||||
\(964\) | 2.98286 | + | 0.342251i | 0.0960713 | + | 0.0110232i | ||||
\(965\) | 12.1450 | − | 50.7701i | 0.390963 | − | 1.63435i | ||||
\(966\) | 75.9981 | + | 4.34573i | 2.44520 | + | 0.139821i | ||||
\(967\) | 24.7993i | 0.797493i | 0.917061 | + | 0.398746i | \(0.130555\pi\) | ||||
−0.917061 | + | 0.398746i | \(0.869445\pi\) | |||||||
\(968\) | −24.6980 | + | 16.1437i | −0.793824 | + | 0.518878i | ||||
\(969\) | 3.37800 | 0.108517 | ||||||||
\(970\) | −0.851384 | − | 38.2831i | −0.0273363 | − | 1.22920i | ||||
\(971\) | −3.28031 | + | 10.0957i | −0.105270 | + | 0.323988i | −0.989794 | − | 0.142507i | \(-0.954484\pi\) |
0.884524 | + | 0.466495i | \(0.154484\pi\) | |||||||
\(972\) | 0.195036 | − | 1.69982i | 0.00625578 | − | 0.0545217i | ||||
\(973\) | 38.1390 | − | 20.1239i | 1.22268 | − | 0.645143i | ||||
\(974\) | −16.9661 | + | 43.5769i | −0.543627 | + | 1.39630i | ||||
\(975\) | −31.8772 | − | 7.83902i | −1.02089 | − | 0.251049i | ||||
\(976\) | 22.6012 | + | 3.91129i | 0.723447 | + | 0.125197i | ||||
\(977\) | 4.38104 | − | 6.02998i | 0.140162 | − | 0.192916i | −0.733165 | − | 0.680051i | \(-0.761958\pi\) |
0.873327 | + | 0.487134i | \(0.161958\pi\) | |||||||
\(978\) | −54.1180 | + | 24.7149i | −1.73050 | + | 0.790294i | ||||
\(979\) | 0.602864 | + | 0.503525i | 0.0192676 | + | 0.0160927i | ||||
\(980\) | −4.95297 | − | 1.80261i | −0.158217 | − | 0.0575822i | ||||
\(981\) | 0.112019 | − | 0.0632600i | 0.00357649 | − | 0.00201974i | ||||
\(982\) | −23.9751 | + | 48.7629i | −0.765077 | + | 1.55609i | ||||
\(983\) | −8.46995 | − | 48.9432i | −0.270149 | − | 1.56104i | −0.736496 | − | 0.676442i | \(-0.763521\pi\) |
0.466346 | − | 0.884602i | \(-0.345570\pi\) | |||||||
\(984\) | 27.3934 | + | 6.37006i | 0.873269 | + | 0.203070i | ||||
\(985\) | 12.1142 | − | 5.44003i | 0.385989 | − | 0.173334i | ||||
\(986\) | 1.93016 | + | 1.57828i | 0.0614687 | + | 0.0502627i | ||||
\(987\) | 24.1165 | + | 0.688952i | 0.767636 | + | 0.0219296i | ||||
\(988\) | 1.28479 | − | 0.500215i | 0.0408747 | − | 0.0159140i | ||||
\(989\) | −31.3251 | + | 36.1511i | −0.996080 | + | 1.14954i | ||||
\(990\) | 5.08611 | − | 8.66438i | 0.161647 | − | 0.275372i | ||||
\(991\) | −30.2116 | − | 34.8660i | −0.959702 | − | 1.10756i | −0.994135 | − | 0.108149i | \(-0.965508\pi\) |
0.0344323 | − | 0.999407i | \(-0.489038\pi\) | |||||||
\(992\) | 9.74541 | + | 5.14213i | 0.309417 | + | 0.163263i | ||||
\(993\) | 3.46742 | + | 2.37096i | 0.110035 | + | 0.0752402i | ||||
\(994\) | −8.64633 | + | 4.25112i | −0.274245 | + | 0.134837i | ||||
\(995\) | −28.2901 | − | 33.0688i | −0.896857 | − | 1.04835i | ||||
\(996\) | 5.49714 | + | 3.10438i | 0.174184 | + | 0.0983660i | ||||
\(997\) | 0.408552 | − | 0.279360i | 0.0129390 | − | 0.00884743i | −0.557956 | − | 0.829870i | \(-0.688414\pi\) |
0.570895 | + | 0.821023i | \(0.306596\pi\) | |||||||
\(998\) | 4.51917 | + | 39.3864i | 0.143052 | + | 1.24676i | ||||
\(999\) | 3.55852 | − | 17.5620i | 0.112586 | − | 0.555636i |
(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 | 605.2.u.a.4.18 | ✓ | 2560 | |
5.4 | even | 2 | inner | 605.2.u.a.4.47 | yes | 2560 | |
121.91 | even | 55 | inner | 605.2.u.a.454.47 | yes | 2560 | |
605.454 | even | 110 | inner | 605.2.u.a.454.18 | yes | 2560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.u.a.4.18 | ✓ | 2560 | 1.1 | even | 1 | trivial | |
605.2.u.a.4.47 | yes | 2560 | 5.4 | even | 2 | inner | |
605.2.u.a.454.18 | yes | 2560 | 605.454 | even | 110 | inner | |
605.2.u.a.454.47 | yes | 2560 | 121.91 | even | 55 | inner |