Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(2,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.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: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 75.2 |
Dual form | 75.2.l.a.38.6 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.184928 | − | 1.16759i | 0.130764 | − | 0.825610i | −0.831903 | − | 0.554921i | \(-0.812748\pi\) |
0.962667 | − | 0.270689i | \(-0.0872516\pi\) | |||||||
\(3\) | −0.224509 | + | 1.71744i | −0.129620 | + | 0.991564i | ||||
\(4\) | 0.573046 | + | 0.186194i | 0.286523 | + | 0.0930970i | ||||
\(5\) | 1.19069 | + | 1.89269i | 0.532491 | + | 0.846436i | ||||
\(6\) | 1.96375 | + | 0.579736i | 0.801696 | + | 0.236676i | ||||
\(7\) | −3.04094 | − | 3.04094i | −1.14937 | − | 1.14937i | −0.986678 | − | 0.162688i | \(-0.947984\pi\) |
−0.162688 | − | 0.986678i | \(-0.552016\pi\) | |||||||
\(8\) | 1.39673 | − | 2.74125i | 0.493820 | − | 0.969177i | ||||
\(9\) | −2.89919 | − | 0.771160i | −0.966397 | − | 0.257053i | ||||
\(10\) | 2.43007 | − | 1.04022i | 0.768457 | − | 0.328947i | ||||
\(11\) | 0.00182443 | + | 0.00251111i | 0.000550086 | + | 0.000757128i | 0.809292 | − | 0.587407i | \(-0.199851\pi\) |
−0.808742 | + | 0.588164i | \(0.799851\pi\) | |||||||
\(12\) | −0.448431 | + | 0.942370i | −0.129451 | + | 0.272039i | ||||
\(13\) | −1.68571 | + | 0.266990i | −0.467531 | + | 0.0740497i | −0.385755 | − | 0.922601i | \(-0.626059\pi\) |
−0.0817758 | + | 0.996651i | \(0.526059\pi\) | |||||||
\(14\) | −4.11292 | + | 2.98821i | −1.09922 | + | 0.798633i | ||||
\(15\) | −3.51789 | + | 1.62001i | −0.908316 | + | 0.418284i | ||||
\(16\) | −1.96743 | − | 1.42942i | −0.491857 | − | 0.357355i | ||||
\(17\) | 1.94745 | + | 0.992273i | 0.472325 | + | 0.240662i | 0.673916 | − | 0.738808i | \(-0.264611\pi\) |
−0.201591 | + | 0.979470i | \(0.564611\pi\) | |||||||
\(18\) | −1.43654 | + | 3.24246i | −0.338596 | + | 0.764254i | ||||
\(19\) | 2.48315 | − | 0.806825i | 0.569674 | − | 0.185098i | −0.00999517 | − | 0.999950i | \(-0.503182\pi\) |
0.579670 | + | 0.814852i | \(0.303182\pi\) | |||||||
\(20\) | 0.329911 | + | 1.30630i | 0.0737704 | + | 0.292097i | ||||
\(21\) | 5.90534 | − | 4.53990i | 1.28865 | − | 0.990688i | ||||
\(22\) | 0.00326933 | − | 0.00166581i | 0.000697024 | − | 0.000355151i | ||||
\(23\) | −6.89295 | − | 1.09174i | −1.43728 | − | 0.227643i | −0.611324 | − | 0.791380i | \(-0.709363\pi\) |
−0.825954 | + | 0.563738i | \(0.809363\pi\) | |||||||
\(24\) | 4.39434 | + | 3.01424i | 0.896991 | + | 0.615279i | ||||
\(25\) | −2.16453 | + | 4.50719i | −0.432907 | + | 0.901439i | ||||
\(26\) | 2.01759i | 0.395682i | ||||||||
\(27\) | 1.97531 | − | 4.80605i | 0.380149 | − | 0.924925i | ||||
\(28\) | −1.17639 | − | 2.30880i | −0.222317 | − | 0.436322i | ||||
\(29\) | −0.839286 | + | 2.58306i | −0.155851 | + | 0.479661i | −0.998246 | − | 0.0591995i | \(-0.981145\pi\) |
0.842395 | + | 0.538861i | \(0.181145\pi\) | |||||||
\(30\) | 1.24094 | + | 4.40704i | 0.226564 | + | 0.804612i | ||||
\(31\) | −0.337360 | − | 1.03829i | −0.0605917 | − | 0.186482i | 0.916179 | − | 0.400769i | \(-0.131257\pi\) |
−0.976771 | + | 0.214287i | \(0.931257\pi\) | |||||||
\(32\) | 2.31812 | − | 2.31812i | 0.409790 | − | 0.409790i | ||||
\(33\) | −0.00472228 | + | 0.00256958i | −0.000822043 | + | 0.000447306i | ||||
\(34\) | 1.51871 | − | 2.09032i | 0.260456 | − | 0.358487i | ||||
\(35\) | 2.13474 | − | 9.37634i | 0.360837 | − | 1.58489i | ||||
\(36\) | −1.51779 | − | 0.981722i | −0.252964 | − | 0.163620i | ||||
\(37\) | 1.24881 | + | 7.88465i | 0.205303 | + | 1.29623i | 0.847954 | + | 0.530070i | \(0.177834\pi\) |
−0.642651 | + | 0.766159i | \(0.722166\pi\) | |||||||
\(38\) | −0.482836 | − | 3.04851i | −0.0783264 | − | 0.494533i | ||||
\(39\) | −0.0800829 | − | 2.95504i | −0.0128235 | − | 0.473185i | ||||
\(40\) | 6.85139 | − | 0.620381i | 1.08330 | − | 0.0980909i | ||||
\(41\) | 2.69451 | − | 3.70867i | 0.420811 | − | 0.579197i | −0.545003 | − | 0.838434i | \(-0.683471\pi\) |
0.965814 | + | 0.259238i | \(0.0834713\pi\) | |||||||
\(42\) | −4.20868 | − | 7.73456i | −0.649414 | − | 1.19347i | ||||
\(43\) | 2.05310 | − | 2.05310i | 0.313095 | − | 0.313095i | −0.533012 | − | 0.846107i | \(-0.678940\pi\) |
0.846107 | + | 0.533012i | \(0.178940\pi\) | |||||||
\(44\) | 0.000577928 | 0.00177868i | 8.71259e−5 | 0.000268146i | ||||||
\(45\) | −1.99246 | − | 6.40547i | −0.297019 | − | 0.954872i | ||||
\(46\) | −2.54940 | + | 7.84624i | −0.375888 | + | 1.15686i | ||||
\(47\) | 5.11410 | + | 10.0370i | 0.745968 | + | 1.46405i | 0.880956 | + | 0.473198i | \(0.156900\pi\) |
−0.134988 | + | 0.990847i | \(0.543100\pi\) | |||||||
\(48\) | 2.89665 | − | 3.05802i | 0.418095 | − | 0.441388i | ||||
\(49\) | 11.4946i | 1.64208i | ||||||||
\(50\) | 4.86227 | + | 3.36079i | 0.687629 | + | 0.475288i | ||||
\(51\) | −2.14139 | + | 3.12185i | −0.299854 | + | 0.437146i | ||||
\(52\) | −1.01570 | − | 0.160871i | −0.140852 | − | 0.0223088i | ||||
\(53\) | 4.13848 | − | 2.10866i | 0.568465 | − | 0.289647i | −0.146039 | − | 0.989279i | \(-0.546653\pi\) |
0.714504 | + | 0.699632i | \(0.246653\pi\) | |||||||
\(54\) | −5.24621 | − | 3.19513i | −0.713918 | − | 0.434802i | ||||
\(55\) | −0.00258042 | + | 0.00644301i | −0.000347944 | + | 0.000868776i | ||||
\(56\) | −12.5833 | + | 4.08857i | −1.68152 | + | 0.546358i | ||||
\(57\) | 0.828184 | + | 4.44580i | 0.109696 | + | 0.588861i | ||||
\(58\) | 2.86074 | + | 1.45762i | 0.375634 | + | 0.191395i | ||||
\(59\) | 2.02661 | + | 1.47242i | 0.263843 | + | 0.191693i | 0.711839 | − | 0.702342i | \(-0.247862\pi\) |
−0.447997 | + | 0.894035i | \(0.647862\pi\) | |||||||
\(60\) | −2.31755 | + | 0.273327i | −0.299195 | + | 0.0352864i | ||||
\(61\) | 0.559903 | − | 0.406793i | 0.0716882 | − | 0.0520845i | −0.551364 | − | 0.834265i | \(-0.685892\pi\) |
0.623052 | + | 0.782180i | \(0.285892\pi\) | |||||||
\(62\) | −1.27468 | + | 0.201890i | −0.161885 | + | 0.0256400i | ||||
\(63\) | 6.47121 | + | 11.1613i | 0.815296 | + | 1.40619i | ||||
\(64\) | −5.13677 | − | 7.07016i | −0.642096 | − | 0.883770i | ||||
\(65\) | −2.51248 | − | 2.87262i | −0.311634 | − | 0.356304i | ||||
\(66\) | 0.00212693 | + | 0.00598887i | 0.000261807 | + | 0.000737178i | ||||
\(67\) | 2.12243 | − | 4.16551i | 0.259296 | − | 0.508898i | −0.724254 | − | 0.689534i | \(-0.757816\pi\) |
0.983550 | + | 0.180636i | \(0.0578156\pi\) | |||||||
\(68\) | 0.931221 | + | 0.931221i | 0.112927 | + | 0.112927i | ||||
\(69\) | 3.42251 | − | 11.5931i | 0.412022 | − | 1.39565i | ||||
\(70\) | −10.5529 | − | 4.22645i | −1.26132 | − | 0.505157i | ||||
\(71\) | −7.42989 | − | 2.41412i | −0.881766 | − | 0.286503i | −0.167076 | − | 0.985944i | \(-0.553432\pi\) |
−0.714691 | + | 0.699441i | \(0.753432\pi\) | |||||||
\(72\) | −6.16334 | + | 6.87029i | −0.726356 | + | 0.809672i | ||||
\(73\) | −0.211006 | + | 1.33224i | −0.0246964 | + | 0.155927i | −0.996955 | − | 0.0779828i | \(-0.975152\pi\) |
0.972258 | + | 0.233910i | \(0.0751521\pi\) | |||||||
\(74\) | 9.43698 | 1.09703 | ||||||||
\(75\) | −7.25487 | − | 4.72936i | −0.837721 | − | 0.546099i | ||||
\(76\) | 1.57319 | 0.180457 | ||||||||
\(77\) | 0.00208815 | − | 0.0131841i | 0.000237967 | − | 0.00150247i | ||||
\(78\) | −3.46508 | − | 0.452966i | −0.392344 | − | 0.0512883i | ||||
\(79\) | −11.7496 | − | 3.81767i | −1.32193 | − | 0.429521i | −0.438773 | − | 0.898598i | \(-0.644587\pi\) |
−0.883157 | + | 0.469077i | \(0.844587\pi\) | |||||||
\(80\) | 0.362857 | − | 5.42572i | 0.0405686 | − | 0.606614i | ||||
\(81\) | 7.81063 | + | 4.47148i | 0.867847 | + | 0.496831i | ||||
\(82\) | −3.83191 | − | 3.83191i | −0.423164 | − | 0.423164i | ||||
\(83\) | −2.49577 | + | 4.89822i | −0.273946 | + | 0.537650i | −0.986459 | − | 0.164010i | \(-0.947557\pi\) |
0.712512 | + | 0.701660i | \(0.247557\pi\) | |||||||
\(84\) | 4.22933 | − | 1.50204i | 0.461458 | − | 0.163886i | ||||
\(85\) | 0.440734 | + | 4.86739i | 0.0478043 | + | 0.527943i | ||||
\(86\) | −2.01750 | − | 2.77686i | −0.217553 | − | 0.299436i | ||||
\(87\) | −4.24781 | − | 2.02134i | −0.455413 | − | 0.216710i | ||||
\(88\) | 0.00943181 | − | 0.00149385i | 0.00100543 | − | 0.000159245i | ||||
\(89\) | −0.962780 | + | 0.699500i | −0.102054 | + | 0.0741469i | −0.637642 | − | 0.770333i | \(-0.720090\pi\) |
0.535588 | + | 0.844480i | \(0.320090\pi\) | |||||||
\(90\) | −7.84743 | + | 1.14183i | −0.827191 | + | 0.120359i | ||||
\(91\) | 5.93803 | + | 4.31423i | 0.622474 | + | 0.452254i | ||||
\(92\) | −3.74670 | − | 1.90904i | −0.390621 | − | 0.199031i | ||||
\(93\) | 1.85894 | − | 0.346291i | 0.192763 | − | 0.0359087i | ||||
\(94\) | 12.6648 | − | 4.11505i | 1.30628 | − | 0.424435i | ||||
\(95\) | 4.48372 | + | 3.73916i | 0.460020 | + | 0.383630i | ||||
\(96\) | 3.46079 | + | 4.50167i | 0.353215 | + | 0.459449i | ||||
\(97\) | 8.60984 | − | 4.38693i | 0.874197 | − | 0.445426i | 0.0414896 | − | 0.999139i | \(-0.486790\pi\) |
0.832707 | + | 0.553713i | \(0.186790\pi\) | |||||||
\(98\) | 13.4209 | + | 2.12567i | 1.35572 | + | 0.214725i | ||||
\(99\) | −0.00335290 | − | 0.00868711i | −0.000336979 | − | 0.000873088i | ||||
\(100\) | −2.07959 | + | 2.17981i | −0.207959 | + | 0.217981i | ||||
\(101\) | − | 4.49556i | − | 0.447325i | −0.974667 | − | 0.223663i | \(-0.928199\pi\) | ||
0.974667 | − | 0.223663i | \(-0.0718014\pi\) | |||||||
\(102\) | 3.24903 | + | 3.07758i | 0.321702 | + | 0.304726i | ||||
\(103\) | 3.00320 | + | 5.89411i | 0.295914 | + | 0.580764i | 0.990317 | − | 0.138822i | \(-0.0443316\pi\) |
−0.694403 | + | 0.719586i | \(0.744332\pi\) | |||||||
\(104\) | −1.62260 | + | 4.99385i | −0.159109 | + | 0.489688i | ||||
\(105\) | 15.6240 | + | 5.77136i | 1.52475 | + | 0.563227i | ||||
\(106\) | −1.69673 | − | 5.22200i | −0.164801 | − | 0.507206i | ||||
\(107\) | −11.1892 | + | 11.1892i | −1.08170 | + | 1.08170i | −0.0853449 | + | 0.996351i | \(0.527199\pi\) |
−0.996351 | + | 0.0853449i | \(0.972801\pi\) | |||||||
\(108\) | 2.02680 | − | 2.38630i | 0.195029 | − | 0.229622i | ||||
\(109\) | 0.759338 | − | 1.04514i | 0.0727314 | − | 0.100106i | −0.771101 | − | 0.636712i | \(-0.780294\pi\) |
0.843833 | + | 0.536606i | \(0.180294\pi\) | |||||||
\(110\) | 0.00704560 | + | 0.00420437i | 0.000671772 | + | 0.000400871i | ||||
\(111\) | −13.8218 | + | 0.374576i | −1.31190 | + | 0.0355532i | ||||
\(112\) | 1.63605 | + | 10.3296i | 0.154592 | + | 0.976056i | ||||
\(113\) | −1.55156 | − | 9.79616i | −0.145958 | − | 0.921545i | −0.946602 | − | 0.322404i | \(-0.895509\pi\) |
0.800644 | − | 0.599141i | \(-0.204491\pi\) | |||||||
\(114\) | 5.34403 | − | 0.144825i | 0.500514 | − | 0.0135641i | ||||
\(115\) | −6.14102 | − | 14.3461i | −0.572653 | − | 1.33778i | ||||
\(116\) | −0.961899 | + | 1.32394i | −0.0893101 | + | 0.122925i | ||||
\(117\) | 5.09308 | + | 0.525895i | 0.470856 | + | 0.0486190i | ||||
\(118\) | 2.09396 | − | 2.09396i | 0.192765 | − | 0.192765i | ||||
\(119\) | −2.90462 | − | 8.93950i | −0.266266 | − | 0.819482i | ||||
\(120\) | −0.472730 | + | 11.9061i | −0.0431542 | + | 1.08688i | ||||
\(121\) | 3.39918 | − | 10.4616i | 0.309017 | − | 0.951056i | ||||
\(122\) | −0.371426 | − | 0.728964i | −0.0336273 | − | 0.0659973i | ||||
\(123\) | 5.76447 | + | 5.46028i | 0.519765 | + | 0.492336i | ||||
\(124\) | − | 0.657802i | − | 0.0590723i | ||||||
\(125\) | −11.1080 | + | 1.26987i | −0.993529 | + | 0.113580i | ||||
\(126\) | 14.2285 | − | 5.49168i | 1.26758 | − | 0.489238i | ||||
\(127\) | 15.5488 | + | 2.46268i | 1.37973 | + | 0.218528i | 0.801817 | − | 0.597570i | \(-0.203867\pi\) |
0.577914 | + | 0.816098i | \(0.303867\pi\) | |||||||
\(128\) | −3.36297 | + | 1.71352i | −0.297247 | + | 0.151455i | ||||
\(129\) | 3.06514 | + | 3.98702i | 0.269870 | + | 0.351037i | ||||
\(130\) | −3.81867 | + | 2.40231i | −0.334919 | + | 0.210697i | ||||
\(131\) | 6.50932 | − | 2.11501i | 0.568722 | − | 0.184789i | −0.0105201 | − | 0.999945i | \(-0.503349\pi\) |
0.579242 | + | 0.815156i | \(0.303349\pi\) | |||||||
\(132\) | −0.00318452 | 0.000593227i | −0.000277177 | 5.16338e-5i | ||||||
\(133\) | −10.0046 | − | 5.09761i | −0.867510 | − | 0.442018i | ||||
\(134\) | −4.47110 | − | 3.24845i | −0.386245 | − | 0.280623i | ||||
\(135\) | 11.4483 | − | 1.98385i | 0.985316 | − | 0.170743i | ||||
\(136\) | 5.44013 | − | 3.95249i | 0.466487 | − | 0.338923i | ||||
\(137\) | 13.8605 | − | 2.19528i | 1.18418 | − | 0.187556i | 0.466881 | − | 0.884320i | \(-0.345378\pi\) |
0.717300 | + | 0.696764i | \(0.245378\pi\) | |||||||
\(138\) | −12.9031 | − | 6.13998i | −1.09838 | − | 0.522670i | ||||
\(139\) | −1.07365 | − | 1.47775i | −0.0910655 | − | 0.125341i | 0.761053 | − | 0.648689i | \(-0.224683\pi\) |
−0.852119 | + | 0.523349i | \(0.824683\pi\) | |||||||
\(140\) | 2.96912 | − | 4.97560i | 0.250937 | − | 0.420515i | ||||
\(141\) | −18.3861 | + | 6.52976i | −1.54839 | + | 0.549905i | ||||
\(142\) | −4.19270 | + | 8.22863i | −0.351843 | + | 0.690531i | ||||
\(143\) | −0.00374589 | − | 0.00374589i | −0.000313247 | − | 0.000313247i | ||||
\(144\) | 4.60164 | + | 5.66137i | 0.383470 | + | 0.471781i | ||||
\(145\) | −5.88824 | + | 1.48710i | −0.488992 | + | 0.123497i | ||||
\(146\) | 1.51649 | + | 0.492738i | 0.125506 | + | 0.0407793i | ||||
\(147\) | −19.7412 | − | 2.58063i | −1.62823 | − | 0.212847i | ||||
\(148\) | −0.752451 | + | 4.75079i | −0.0618511 | + | 0.390513i | ||||
\(149\) | 0.708260 | 0.0580229 | 0.0290114 | − | 0.999579i | \(-0.490764\pi\) | ||||
0.0290114 | + | 0.999579i | \(0.490764\pi\) | |||||||
\(150\) | −6.86358 | + | 7.59612i | −0.560409 | + | 0.620221i | ||||
\(151\) | −18.0527 | −1.46910 | −0.734552 | − | 0.678552i | \(-0.762608\pi\) | ||||
−0.734552 | + | 0.678552i | \(0.762608\pi\) | |||||||
\(152\) | 1.25660 | − | 7.93385i | 0.101924 | − | 0.643521i | ||||
\(153\) | −4.88082 | − | 4.37858i | −0.394591 | − | 0.353987i | ||||
\(154\) | −0.0150074 | − | 0.00487621i | −0.00120933 | − | 0.000392937i | ||||
\(155\) | 1.56347 | − | 1.87479i | 0.125581 | − | 0.150587i | ||||
\(156\) | 0.504320 | − | 1.70829i | 0.0403779 | − | 0.136772i | ||||
\(157\) | −16.0450 | − | 16.0450i | −1.28053 | − | 1.28053i | −0.940366 | − | 0.340164i | \(-0.889517\pi\) |
−0.340164 | − | 0.940366i | \(-0.610483\pi\) | |||||||
\(158\) | −6.63029 | + | 13.0127i | −0.527478 | + | 1.03523i | ||||
\(159\) | 2.69237 | + | 7.58101i | 0.213519 | + | 0.601213i | ||||
\(160\) | 7.14763 | + | 1.62732i | 0.565070 | + | 0.128651i | ||||
\(161\) | 17.6411 | + | 24.2809i | 1.39031 | + | 1.91360i | ||||
\(162\) | 6.66526 | − | 8.29270i | 0.523672 | − | 0.651536i | ||||
\(163\) | 10.6177 | − | 1.68169i | 0.831646 | − | 0.131720i | 0.273928 | − | 0.961750i | \(-0.411677\pi\) |
0.557718 | + | 0.830030i | \(0.311677\pi\) | |||||||
\(164\) | 2.23461 | − | 1.62354i | 0.174494 | − | 0.126777i | ||||
\(165\) | −0.0104862 | − | 0.00587823i | −0.000816346 | − | 0.000457620i | ||||
\(166\) | 5.25758 | + | 3.81985i | 0.408067 | + | 0.296478i | ||||
\(167\) | −2.43645 | − | 1.24143i | −0.188538 | − | 0.0960651i | 0.357173 | − | 0.934038i | \(-0.383741\pi\) |
−0.545712 | + | 0.837973i | \(0.683741\pi\) | |||||||
\(168\) | −4.19681 | − | 22.5290i | −0.323791 | − | 1.73815i | ||||
\(169\) | −9.59341 | + | 3.11709i | −0.737954 | + | 0.239776i | ||||
\(170\) | 5.76462 | + | 0.385522i | 0.442126 | + | 0.0295682i | ||||
\(171\) | −7.82133 | + | 0.424234i | −0.598112 | + | 0.0324420i | ||||
\(172\) | 1.55880 | − | 0.794247i | 0.118857 | − | 0.0605608i | ||||
\(173\) | −14.5716 | − | 2.30791i | −1.10786 | − | 0.175467i | −0.424411 | − | 0.905470i | \(-0.639519\pi\) |
−0.683445 | + | 0.730002i | \(0.739519\pi\) | |||||||
\(174\) | −3.14564 | + | 4.58590i | −0.238470 | + | 0.347656i | ||||
\(175\) | 20.2883 | − | 7.12388i | 1.53365 | − | 0.538515i | ||||
\(176\) | − | 0.00754831i | − | 0.000568975i | ||||||
\(177\) | −2.98379 | + | 3.15001i | −0.224275 | + | 0.236770i | ||||
\(178\) | 0.638684 | + | 1.25349i | 0.0478714 | + | 0.0939530i | ||||
\(179\) | −4.49613 | + | 13.8377i | −0.336057 | + | 1.03428i | 0.630142 | + | 0.776480i | \(0.282997\pi\) |
−0.966199 | + | 0.257797i | \(0.917003\pi\) | |||||||
\(180\) | 0.0508872 | − | 4.04162i | 0.00379291 | − | 0.301244i | ||||
\(181\) | −0.877297 | − | 2.70004i | −0.0652090 | − | 0.200693i | 0.913143 | − | 0.407638i | \(-0.133648\pi\) |
−0.978352 | + | 0.206946i | \(0.933648\pi\) | |||||||
\(182\) | 6.13536 | − | 6.13536i | 0.454783 | − | 0.454783i | ||||
\(183\) | 0.572940 | + | 1.05293i | 0.0423529 | + | 0.0778346i | ||||
\(184\) | −12.6203 | + | 17.3704i | −0.930383 | + | 1.28056i | ||||
\(185\) | −13.4362 | + | 11.7517i | −0.987853 | + | 0.864006i | ||||
\(186\) | −0.0605563 | − | 2.23451i | −0.00444020 | − | 0.163843i | ||||
\(187\) | 0.00106127 | + | 0.00670058i | 7.76076e−5 | + | 0.000489995i | ||||
\(188\) | 1.06179 | + | 6.70387i | 0.0774389 | + | 0.488930i | ||||
\(189\) | −20.6217 | + | 8.60810i | −1.50001 | + | 0.626147i | ||||
\(190\) | 5.19497 | − | 4.54367i | 0.376883 | − | 0.329633i | ||||
\(191\) | 10.6722 | − | 14.6890i | 0.772210 | − | 1.06286i | −0.223889 | − | 0.974615i | \(-0.571875\pi\) |
0.996099 | − | 0.0882410i | \(-0.0281246\pi\) | |||||||
\(192\) | 13.2958 | − | 7.23478i | 0.959542 | − | 0.522125i | ||||
\(193\) | −13.2813 | + | 13.2813i | −0.956006 | + | 0.956006i | −0.999072 | − | 0.0430658i | \(-0.986288\pi\) |
0.0430658 | + | 0.999072i | \(0.486288\pi\) | |||||||
\(194\) | −3.52994 | − | 10.8640i | −0.253435 | − | 0.779992i | ||||
\(195\) | 5.49762 | − | 3.67010i | 0.393693 | − | 0.262821i | ||||
\(196\) | −2.14022 | + | 6.58693i | −0.152873 | + | 0.470495i | ||||
\(197\) | −10.1351 | − | 19.8914i | −0.722100 | − | 1.41720i | −0.901215 | − | 0.433372i | \(-0.857324\pi\) |
0.179116 | − | 0.983828i | \(-0.442676\pi\) | |||||||
\(198\) | −0.0107630 | + | 0.00230832i | −0.000764895 | + | 0.000164045i | ||||
\(199\) | 5.87069i | 0.416162i | 0.978112 | + | 0.208081i | \(0.0667218\pi\) | ||||
−0.978112 | + | 0.208081i | \(0.933278\pi\) | |||||||
\(200\) | 9.33205 | + | 12.2289i | 0.659875 | + | 0.864712i | ||||
\(201\) | 6.67750 | + | 4.58034i | 0.470994 | + | 0.323072i | ||||
\(202\) | −5.24897 | − | 0.831356i | −0.369316 | − | 0.0584940i | ||||
\(203\) | 10.4071 | − | 5.30269i | 0.730437 | − | 0.372176i | ||||
\(204\) | −1.80838 | + | 1.39025i | −0.126612 | + | 0.0973369i | ||||
\(205\) | 10.2277 | + | 0.683997i | 0.714331 | + | 0.0477724i | ||||
\(206\) | 7.43728 | − | 2.41652i | 0.518180 | − | 0.168367i | ||||
\(207\) | 19.1421 | + | 8.48071i | 1.33047 | + | 0.589450i | ||||
\(208\) | 3.69815 | + | 1.88430i | 0.256421 | + | 0.130653i | ||||
\(209\) | 0.00655636 | + | 0.00476347i | 0.000453513 | + | 0.000329496i | ||||
\(210\) | 9.62790 | − | 17.1752i | 0.664388 | − | 1.18520i | ||||
\(211\) | 12.6763 | − | 9.20984i | 0.872669 | − | 0.634031i | −0.0586326 | − | 0.998280i | \(-0.518674\pi\) |
0.931302 | + | 0.364248i | \(0.118674\pi\) | |||||||
\(212\) | 2.76416 | − | 0.437800i | 0.189844 | − | 0.0300683i | ||||
\(213\) | 5.81418 | − | 12.2184i | 0.398381 | − | 0.837191i | ||||
\(214\) | 10.9952 | + | 15.1335i | 0.751613 | + | 1.03451i | ||||
\(215\) | 6.33048 | + | 1.44128i | 0.431735 | + | 0.0982945i | ||||
\(216\) | −10.4156 | − | 12.1276i | −0.708691 | − | 0.825178i | ||||
\(217\) | −2.13148 | + | 4.18326i | −0.144694 | + | 0.283978i | ||||
\(218\) | −1.07987 | − | 1.07987i | −0.0731381 | − | 0.0731381i | ||||
\(219\) | −2.24067 | − | 0.661490i | −0.151411 | − | 0.0446994i | ||||
\(220\) | −0.00267835 | + | 0.00321169i | −0.000180575 | + | 0.000216532i | ||||
\(221\) | −3.54775 | − | 1.15273i | −0.238648 | − | 0.0775413i | ||||
\(222\) | −2.11868 | + | 16.2074i | −0.142197 | + | 1.08777i | ||||
\(223\) | 1.70469 | − | 10.7630i | 0.114155 | − | 0.720744i | −0.862521 | − | 0.506022i | \(-0.831116\pi\) |
0.976675 | − | 0.214722i | \(-0.0688845\pi\) | |||||||
\(224\) | −14.0985 | −0.941996 | ||||||||
\(225\) | 9.75116 | − | 11.3980i | 0.650077 | − | 0.759868i | ||||
\(226\) | −11.7248 | −0.779924 | ||||||||
\(227\) | −0.323824 | + | 2.04455i | −0.0214930 | + | 0.135701i | −0.996102 | − | 0.0882143i | \(-0.971884\pi\) |
0.974609 | + | 0.223916i | \(0.0718840\pi\) | |||||||
\(228\) | −0.353194 | + | 2.70185i | −0.0233909 | + | 0.178935i | ||||
\(229\) | 14.2391 | + | 4.62656i | 0.940946 | + | 0.305732i | 0.739031 | − | 0.673671i | \(-0.235284\pi\) |
0.201915 | + | 0.979403i | \(0.435284\pi\) | |||||||
\(230\) | −17.8860 | + | 4.51719i | −1.17937 | + | 0.297855i | ||||
\(231\) | 0.0221741 | + | 0.00654622i | 0.00145895 | + | 0.000430710i | ||||
\(232\) | 5.90853 | + | 5.90853i | 0.387914 | + | 0.387914i | ||||
\(233\) | 4.66488 | − | 9.15535i | 0.305607 | − | 0.599787i | −0.686218 | − | 0.727396i | \(-0.740730\pi\) |
0.991825 | + | 0.127609i | \(0.0407303\pi\) | |||||||
\(234\) | 1.55588 | − | 5.84938i | 0.101711 | − | 0.382386i | ||||
\(235\) | −12.9076 | + | 21.6303i | −0.841999 | + | 1.41101i | ||||
\(236\) | 0.887187 | + | 1.22111i | 0.0577510 | + | 0.0794874i | ||||
\(237\) | 9.19449 | − | 19.3221i | 0.597246 | − | 1.25510i | ||||
\(238\) | −10.9748 | + | 1.73824i | −0.711391 | + | 0.112673i | ||||
\(239\) | 19.7230 | − | 14.3296i | 1.27577 | − | 0.926902i | 0.276355 | − | 0.961056i | \(-0.410873\pi\) |
0.999417 | + | 0.0341532i | \(0.0108734\pi\) | |||||||
\(240\) | 9.23688 | + | 1.84131i | 0.596238 | + | 0.118856i | ||||
\(241\) | 17.2950 | + | 12.5655i | 1.11407 | + | 0.809417i | 0.983299 | − | 0.181996i | \(-0.0582557\pi\) |
0.130768 | + | 0.991413i | \(0.458256\pi\) | |||||||
\(242\) | −11.5863 | − | 5.90350i | −0.744793 | − | 0.379491i | ||||
\(243\) | −9.43304 | + | 12.4104i | −0.605130 | + | 0.796127i | ||||
\(244\) | 0.396593 | − | 0.128861i | 0.0253892 | − | 0.00824947i | ||||
\(245\) | −21.7556 | + | 13.6864i | −1.38992 | + | 0.874394i | ||||
\(246\) | 7.44137 | − | 5.72078i | 0.474445 | − | 0.364743i | ||||
\(247\) | −3.97046 | + | 2.02305i | −0.252634 | + | 0.128724i | ||||
\(248\) | −3.31741 | − | 0.525425i | −0.210655 | − | 0.0333646i | ||||
\(249\) | −7.85208 | − | 5.38603i | −0.497605 | − | 0.341326i | ||||
\(250\) | −0.571494 | + | 13.2044i | −0.0361444 | + | 0.835120i | ||||
\(251\) | 1.15864i | 0.0731326i | 0.999331 | + | 0.0365663i | \(0.0116420\pi\) | ||||
−0.999331 | + | 0.0365663i | \(0.988358\pi\) | |||||||
\(252\) | 1.63013 | + | 7.60084i | 0.102689 | + | 0.478808i | ||||
\(253\) | −0.00983421 | − | 0.0193007i | −0.000618272 | − | 0.00121343i | ||||
\(254\) | 5.75081 | − | 17.6992i | 0.360838 | − | 1.11054i | ||||
\(255\) | −8.45840 | − | 0.335839i | −0.529685 | − | 0.0210310i | ||||
\(256\) | −4.02234 | − | 12.3795i | −0.251396 | − | 0.773718i | ||||
\(257\) | 1.64370 | − | 1.64370i | 0.102531 | − | 0.102531i | −0.653980 | − | 0.756511i | \(-0.726902\pi\) |
0.756511 | + | 0.653980i | \(0.226902\pi\) | |||||||
\(258\) | 5.22203 | − | 2.84151i | 0.325109 | − | 0.176905i | ||||
\(259\) | 20.1792 | − | 27.7743i | 1.25387 | − | 1.72581i | ||||
\(260\) | −0.904902 | − | 2.11395i | −0.0561196 | − | 0.131102i | ||||
\(261\) | 4.42520 | − | 6.84155i | 0.273913 | − | 0.423481i | ||||
\(262\) | −1.26570 | − | 7.99133i | −0.0781954 | − | 0.493706i | ||||
\(263\) | 1.64184 | + | 10.3662i | 0.101240 | + | 0.639206i | 0.985169 | + | 0.171585i | \(0.0548888\pi\) |
−0.883929 | + | 0.467621i | \(0.845111\pi\) | |||||||
\(264\) | 0.000448077 | 0.0165339i | 2.75772e−5 | 0.00101759i | ||||||
\(265\) | 8.91868 | + | 5.32210i | 0.547870 | + | 0.326934i | ||||
\(266\) | −7.80204 | + | 10.7386i | −0.478374 | + | 0.658425i | ||||
\(267\) | −0.985197 | − | 1.81056i | −0.0602931 | − | 0.110804i | ||||
\(268\) | 1.99184 | − | 1.99184i | 0.121671 | − | 0.121671i | ||||
\(269\) | 7.47786 | + | 23.0145i | 0.455933 | + | 1.40322i | 0.870036 | + | 0.492988i | \(0.164095\pi\) |
−0.414103 | + | 0.910230i | \(0.635905\pi\) | |||||||
\(270\) | −0.199205 | − | 13.7338i | −0.0121232 | − | 0.835814i | ||||
\(271\) | −4.16456 | + | 12.8172i | −0.252979 | + | 0.778589i | 0.741242 | + | 0.671238i | \(0.234237\pi\) |
−0.994221 | + | 0.107351i | \(0.965763\pi\) | |||||||
\(272\) | −2.41309 | − | 4.73595i | −0.146315 | − | 0.287159i | ||||
\(273\) | −8.74256 | + | 9.22962i | −0.529124 | + | 0.558602i | ||||
\(274\) | − | 16.5893i | − | 1.00220i | ||||||
\(275\) | −0.0152671 | + | 0.00278767i | −0.000920640 | + | 0.000168103i | ||||
\(276\) | 4.11983 | − | 6.00613i | 0.247984 | − | 0.361527i | ||||
\(277\) | −21.5212 | − | 3.40863i | −1.29309 | − | 0.204805i | −0.528282 | − | 0.849069i | \(-0.677164\pi\) |
−0.764803 | + | 0.644264i | \(0.777164\pi\) | |||||||
\(278\) | −1.92395 | + | 0.980301i | −0.115391 | + | 0.0587945i | ||||
\(279\) | 0.177386 | + | 3.27036i | 0.0106198 | + | 0.195791i | ||||
\(280\) | −22.7212 | − | 18.9481i | −1.35785 | − | 1.13237i | ||||
\(281\) | 6.98072 | − | 2.26817i | 0.416435 | − | 0.135308i | −0.0933027 | − | 0.995638i | \(-0.529742\pi\) |
0.509738 | + | 0.860330i | \(0.329742\pi\) | |||||||
\(282\) | 4.22399 | + | 22.6749i | 0.251535 | + | 1.35027i | ||||
\(283\) | −0.800908 | − | 0.408083i | −0.0476090 | − | 0.0242580i | 0.430024 | − | 0.902817i | \(-0.358505\pi\) |
−0.477633 | + | 0.878559i | \(0.658505\pi\) | |||||||
\(284\) | −3.80818 | − | 2.76680i | −0.225974 | − | 0.164180i | ||||
\(285\) | −7.42841 | + | 6.86105i | −0.440021 | + | 0.406414i | ||||
\(286\) | −0.00506638 | + | 0.00368094i | −0.000299582 | + | 0.000217659i | ||||
\(287\) | −19.4716 | + | 3.08400i | −1.14937 | + | 0.182043i | ||||
\(288\) | −8.50831 | + | 4.93303i | −0.501357 | + | 0.290682i | ||||
\(289\) | −7.18441 | − | 9.88849i | −0.422612 | − | 0.581676i | ||||
\(290\) | 0.647425 | + | 7.15006i | 0.0380181 | + | 0.419866i | ||||
\(291\) | 5.60131 | + | 15.7718i | 0.328354 | + | 0.924558i | ||||
\(292\) | −0.368972 | + | 0.724148i | −0.0215925 | + | 0.0423776i | ||||
\(293\) | 15.6880 | + | 15.6880i | 0.916503 | + | 0.916503i | 0.996773 | − | 0.0802698i | \(-0.0255782\pi\) |
−0.0802698 | + | 0.996773i | \(0.525578\pi\) | |||||||
\(294\) | −6.66383 | + | 22.5724i | −0.388642 | + | 1.31645i | ||||
\(295\) | −0.373772 | + | 5.58894i | −0.0217619 | + | 0.325401i | ||||
\(296\) | 23.3580 | + | 7.58948i | 1.35766 | + | 0.441130i | ||||
\(297\) | 0.0156723 | − | 0.00380807i | 0.000909401 | − | 0.000220967i | ||||
\(298\) | 0.130977 | − | 0.826956i | 0.00758729 | − | 0.0479043i | ||||
\(299\) | 11.9110 | 0.688829 | ||||||||
\(300\) | −3.27680 | − | 4.06095i | −0.189186 | − | 0.234459i | ||||
\(301\) | −12.4867 | −0.719722 | ||||||||
\(302\) | −3.33844 | + | 21.0781i | −0.192106 | + | 1.21291i | ||||
\(303\) | 7.72086 | + | 1.00929i | 0.443552 | + | 0.0579824i | ||||
\(304\) | −6.03872 | − | 1.96210i | −0.346345 | − | 0.112534i | ||||
\(305\) | 1.43660 | + | 0.575358i | 0.0822595 | + | 0.0329449i | ||||
\(306\) | −6.01499 | + | 4.88907i | −0.343854 | + | 0.279490i | ||||
\(307\) | 0.976655 | + | 0.976655i | 0.0557407 | + | 0.0557407i | 0.734428 | − | 0.678687i | \(-0.237451\pi\) |
−0.678687 | + | 0.734428i | \(0.737451\pi\) | |||||||
\(308\) | 0.00365141 | − | 0.00716629i | 0.000208058 | − | 0.000408337i | ||||
\(309\) | −10.7970 | + | 3.83453i | −0.614221 | + | 0.218139i | ||||
\(310\) | −1.89986 | − | 2.17219i | −0.107905 | − | 0.123372i | ||||
\(311\) | −16.7683 | − | 23.0796i | −0.950842 | − | 1.30872i | −0.951152 | − | 0.308722i | \(-0.900099\pi\) |
0.000309728 | − | 1.00000i | \(-0.499901\pi\) | |||||||
\(312\) | −8.21235 | − | 3.90788i | −0.464933 | − | 0.221240i | ||||
\(313\) | 3.95383 | − | 0.626225i | 0.223484 | − | 0.0353963i | −0.0436883 | − | 0.999045i | \(-0.513911\pi\) |
0.267172 | + | 0.963649i | \(0.413911\pi\) | |||||||
\(314\) | −21.7011 | + | 15.7668i | −1.22467 | + | 0.889772i | ||||
\(315\) | −13.4197 | + | 25.5376i | −0.756113 | + | 1.43888i | ||||
\(316\) | −6.02222 | − | 4.37540i | −0.338776 | − | 0.246135i | ||||
\(317\) | 2.85337 | + | 1.45386i | 0.160261 | + | 0.0816571i | 0.532281 | − | 0.846567i | \(-0.321335\pi\) |
−0.372020 | + | 0.928225i | \(0.621335\pi\) | |||||||
\(318\) | 9.34940 | − | 1.74165i | 0.524288 | − | 0.0976667i | ||||
\(319\) | −0.00801755 | + | 0.00260506i | −0.000448897 | + | 0.000145855i | ||||
\(320\) | 7.26532 | − | 18.1406i | 0.406144 | − | 1.01409i | ||||
\(321\) | −16.7046 | − | 21.7287i | −0.932361 | − | 1.21278i | ||||
\(322\) | 31.6125 | − | 16.1074i | 1.76169 | − | 0.897628i | ||||
\(323\) | 5.63640 | + | 0.892718i | 0.313618 | + | 0.0496722i | ||||
\(324\) | 3.64329 | + | 4.01666i | 0.202405 | + | 0.223148i | ||||
\(325\) | 2.44540 | − | 8.17572i | 0.135646 | − | 0.453507i | ||||
\(326\) | − | 12.7082i | − | 0.703840i | ||||||
\(327\) | 1.62448 | + | 1.53876i | 0.0898342 | + | 0.0850936i | ||||
\(328\) | −6.40286 | − | 12.5663i | −0.353539 | − | 0.693859i | ||||
\(329\) | 14.9702 | − | 46.0735i | 0.825333 | − | 2.54011i | ||||
\(330\) | −0.00880255 | + | 0.0111565i | −0.000484564 | + | 0.000614144i | ||||
\(331\) | 4.41007 | + | 13.5728i | 0.242399 | + | 0.746028i | 0.996053 | + | 0.0887570i | \(0.0282895\pi\) |
−0.753654 | + | 0.657271i | \(0.771711\pi\) | |||||||
\(332\) | −2.34221 | + | 2.34221i | −0.128546 | + | 0.128546i | ||||
\(333\) | 2.45980 | − | 23.8222i | 0.134796 | − | 1.30545i | ||||
\(334\) | −1.90005 | + | 2.61520i | −0.103966 | + | 0.143097i | ||||
\(335\) | 10.4112 | − | 0.942711i | 0.568822 | − | 0.0515058i | ||||
\(336\) | −18.1078 | + | 0.490728i | −0.987860 | + | 0.0267714i | ||||
\(337\) | 0.934371 | + | 5.89939i | 0.0508985 | + | 0.321360i | 0.999980 | + | 0.00632960i | \(0.00201479\pi\) |
−0.949082 | + | 0.315031i | \(0.897985\pi\) | |||||||
\(338\) | 1.86539 | + | 11.7776i | 0.101464 | + | 0.640617i | ||||
\(339\) | 17.1726 | − | 0.465386i | 0.932690 | − | 0.0252763i | ||||
\(340\) | −0.653719 | + | 2.87130i | −0.0354529 | + | 0.155718i | ||||
\(341\) | 0.00199177 | − | 0.00274143i | 0.000107860 | − | 0.000148457i | ||||
\(342\) | −0.951051 | + | 9.21055i | −0.0514270 | + | 0.498050i | ||||
\(343\) | 13.6677 | − | 13.6677i | 0.737988 | − | 0.737988i | ||||
\(344\) | −2.76042 | − | 8.49570i | −0.148832 | − | 0.458057i | ||||
\(345\) | 26.0173 | − | 7.32600i | 1.40072 | − | 0.394419i | ||||
\(346\) | −5.38938 | + | 16.5868i | −0.289735 | + | 0.891713i | ||||
\(347\) | 3.71168 | + | 7.28458i | 0.199253 | + | 0.391057i | 0.968915 | − | 0.247396i | \(-0.0795748\pi\) |
−0.769661 | + | 0.638453i | \(0.779575\pi\) | |||||||
\(348\) | −2.05783 | − | 1.94924i | −0.110311 | − | 0.104490i | ||||
\(349\) | − | 18.2857i | − | 0.978811i | −0.872056 | − | 0.489406i | \(-0.837214\pi\) | ||
0.872056 | − | 0.489406i | \(-0.162786\pi\) | |||||||
\(350\) | −4.56589 | − | 25.0058i | −0.244057 | − | 1.33662i | ||||
\(351\) | −2.04663 | + | 8.62899i | −0.109241 | + | 0.460581i | ||||
\(352\) | 0.0100503 | + | 0.00159181i | 0.000535682 | + | 8.48437e-5i | ||||
\(353\) | −16.0940 | + | 8.20031i | −0.856598 | + | 0.436458i | −0.826399 | − | 0.563085i | \(-0.809614\pi\) |
−0.0301993 | + | 0.999544i | \(0.509614\pi\) | |||||||
\(354\) | 3.12614 | + | 4.06636i | 0.166152 | + | 0.216125i | ||||
\(355\) | −4.27750 | − | 16.9369i | −0.227026 | − | 0.898919i | ||||
\(356\) | −0.681960 | + | 0.221582i | −0.0361438 | + | 0.0117438i | ||||
\(357\) | 16.0052 | − | 2.98151i | 0.847083 | − | 0.157798i | ||||
\(358\) | 15.3253 | + | 7.80861i | 0.809965 | + | 0.412698i | ||||
\(359\) | 8.28139 | + | 6.01678i | 0.437075 | + | 0.317553i | 0.784472 | − | 0.620165i | \(-0.212934\pi\) |
−0.347397 | + | 0.937718i | \(0.612934\pi\) | |||||||
\(360\) | −20.3419 | − | 3.48491i | −1.07211 | − | 0.183671i | ||||
\(361\) | −9.85624 | + | 7.16098i | −0.518749 | + | 0.376894i | ||||
\(362\) | −3.31478 | + | 0.525009i | −0.174221 | + | 0.0275939i | ||||
\(363\) | 17.2040 | + | 8.18661i | 0.902978 | + | 0.429686i | ||||
\(364\) | 2.59948 | + | 3.57788i | 0.136250 | + | 0.187532i | ||||
\(365\) | −2.77276 | + | 1.18691i | −0.145133 | + | 0.0621259i | ||||
\(366\) | 1.33534 | − | 0.474242i | 0.0697993 | − | 0.0247890i | ||||
\(367\) | −14.6548 | + | 28.7617i | −0.764975 | + | 1.50135i | 0.0974922 | + | 0.995236i | \(0.468918\pi\) |
−0.862468 | + | 0.506112i | \(0.831082\pi\) | |||||||
\(368\) | 12.0008 | + | 12.0008i | 0.625587 | + | 0.625587i | ||||
\(369\) | −10.6719 | + | 8.67425i | −0.555555 | + | 0.451563i | ||||
\(370\) | 11.2365 | + | 17.8613i | 0.584157 | + | 0.928562i | ||||
\(371\) | −18.9972 | − | 6.17256i | −0.986284 | − | 0.320463i | ||||
\(372\) | 1.12973 | + | 0.147682i | 0.0585740 | + | 0.00765696i | ||||
\(373\) | 3.81465 | − | 24.0847i | 0.197515 | − | 1.24706i | −0.667231 | − | 0.744851i | \(-0.732521\pi\) |
0.864746 | − | 0.502210i | \(-0.167479\pi\) | |||||||
\(374\) | 0.00801979 | 0.000414693 | ||||||||
\(375\) | 0.312918 | − | 19.3624i | 0.0161590 | − | 0.999869i | ||||
\(376\) | 34.6569 | 1.78729 | ||||||||
\(377\) | 0.725141 | − | 4.57836i | 0.0373466 | − | 0.235797i | ||||
\(378\) | 6.23719 | + | 25.6696i | 0.320807 | + | 1.32030i | ||||
\(379\) | 15.1764 | + | 4.93111i | 0.779559 | + | 0.253294i | 0.671652 | − | 0.740867i | \(-0.265585\pi\) |
0.107907 | + | 0.994161i | \(0.465585\pi\) | |||||||
\(380\) | 1.87317 | + | 2.97755i | 0.0960917 | + | 0.152745i | ||||
\(381\) | −7.72035 | + | 26.1512i | −0.395525 | + | 1.33977i | ||||
\(382\) | −15.1771 | − | 15.1771i | −0.776528 | − | 0.776528i | ||||
\(383\) | 0.286326 | − | 0.561946i | 0.0146306 | − | 0.0287141i | −0.883576 | − | 0.468289i | \(-0.844871\pi\) |
0.898206 | + | 0.439575i | \(0.144871\pi\) | |||||||
\(384\) | −2.18785 | − | 6.16040i | −0.111648 | − | 0.314371i | ||||
\(385\) | 0.0274397 | − | 0.0117459i | 0.00139846 | − | 0.000598626i | ||||
\(386\) | 13.0510 | + | 17.9631i | 0.664278 | + | 0.914300i | ||||
\(387\) | −7.53561 | + | 4.36907i | −0.383056 | + | 0.222092i | ||||
\(388\) | 5.75066 | − | 0.910815i | 0.291945 | − | 0.0462396i | ||||
\(389\) | 6.18128 | − | 4.49096i | 0.313403 | − | 0.227701i | −0.419952 | − | 0.907546i | \(-0.637953\pi\) |
0.733355 | + | 0.679845i | \(0.237953\pi\) | |||||||
\(390\) | −3.26851 | − | 7.09766i | −0.165507 | − | 0.359404i | ||||
\(391\) | −12.3403 | − | 8.96578i | −0.624078 | − | 0.453419i | ||||
\(392\) | 31.5095 | + | 16.0549i | 1.59147 | + | 0.810894i | ||||
\(393\) | 2.17099 | + | 11.6542i | 0.109512 | + | 0.587876i | ||||
\(394\) | −25.0992 | + | 8.15523i | −1.26448 | + | 0.410854i | ||||
\(395\) | −6.76440 | − | 26.7839i | −0.340354 | − | 1.34765i | ||||
\(396\) | −0.000303878 | − | 0.00560241i | −1.52705e−5 | − | 0.000281532i | ||||
\(397\) | 21.4891 | − | 10.9493i | 1.07851 | − | 0.549527i | 0.177851 | − | 0.984057i | \(-0.443086\pi\) |
0.900657 | + | 0.434530i | \(0.143086\pi\) | |||||||
\(398\) | 6.85456 | + | 1.08566i | 0.343588 | + | 0.0544190i | ||||
\(399\) | 11.0009 | − | 16.0379i | 0.550736 | − | 0.802897i | ||||
\(400\) | 10.7012 | − | 5.77356i | 0.535062 | − | 0.288678i | ||||
\(401\) | 22.0325i | 1.10025i | 0.835082 | + | 0.550126i | \(0.185420\pi\) | ||||
−0.835082 | + | 0.550126i | \(0.814580\pi\) | |||||||
\(402\) | 6.58281 | − | 6.94954i | 0.328321 | − | 0.346612i | ||||
\(403\) | 0.845903 | + | 1.66018i | 0.0421374 | + | 0.0826994i | ||||
\(404\) | 0.837047 | − | 2.57617i | 0.0416447 | − | 0.128169i | ||||
\(405\) | 0.836891 | + | 20.1072i | 0.0415855 | + | 0.999135i | ||||
\(406\) | −4.26680 | − | 13.1319i | −0.211758 | − | 0.651723i | ||||
\(407\) | −0.0175209 | + | 0.0175209i | −0.000868477 | + | 0.000868477i | ||||
\(408\) | 5.56680 | + | 10.2305i | 0.275598 | + | 0.506483i | ||||
\(409\) | −17.0488 | + | 23.4657i | −0.843011 | + | 1.16031i | 0.142349 | + | 0.989817i | \(0.454535\pi\) |
−0.985360 | + | 0.170489i | \(0.945465\pi\) | |||||||
\(410\) | 2.69001 | − | 11.8152i | 0.132850 | − | 0.583512i | ||||
\(411\) | 0.658470 | + | 24.2974i | 0.0324799 | + | 1.19850i | ||||
\(412\) | 0.623524 | + | 3.93677i | 0.0307188 | + | 0.193951i | ||||
\(413\) | −1.68526 | − | 10.6403i | −0.0829264 | − | 0.523577i | ||||
\(414\) | 13.4419 | − | 20.7818i | 0.660633 | − | 1.02137i | ||||
\(415\) | −12.2425 | + | 1.10853i | −0.600960 | + | 0.0544158i | ||||
\(416\) | −3.28876 | + | 4.52659i | −0.161245 | + | 0.221934i | ||||
\(417\) | 2.77898 | − | 1.51215i | 0.136087 | − | 0.0740505i | ||||
\(418\) | 0.00677424 | − | 0.00677424i | 0.000331339 | − | 0.000331339i | ||||
\(419\) | 10.8789 | + | 33.4819i | 0.531470 | + | 1.63570i | 0.751155 | + | 0.660126i | \(0.229497\pi\) |
−0.219685 | + | 0.975571i | \(0.570503\pi\) | |||||||
\(420\) | 7.87870 | + | 6.21635i | 0.384441 | + | 0.303327i | ||||
\(421\) | 0.127617 | − | 0.392765i | 0.00621968 | − | 0.0191422i | −0.947899 | − | 0.318572i | \(-0.896797\pi\) |
0.954118 | + | 0.299430i | \(0.0967966\pi\) | |||||||
\(422\) | −8.40911 | − | 16.5038i | −0.409349 | − | 0.803393i | ||||
\(423\) | −7.08664 | − | 33.0429i | −0.344564 | − | 1.60660i | ||||
\(424\) | − | 14.2898i | − | 0.693976i | ||||||
\(425\) | −8.68768 | + | 6.62971i | −0.421414 | + | 0.321588i | ||||
\(426\) | −13.1909 | − | 9.04810i | −0.639100 | − | 0.438382i | ||||
\(427\) | −2.93966 | − | 0.465597i | −0.142260 | − | 0.0225318i | ||||
\(428\) | −8.49526 | + | 4.32855i | −0.410634 | + | 0.209228i | ||||
\(429\) | 0.00727433 | − | 0.00559236i | 0.000351208 | − | 0.000270001i | ||||
\(430\) | 2.85351 | − | 7.12487i | 0.137608 | − | 0.343592i | ||||
\(431\) | −20.6855 | + | 6.72113i | −0.996386 | + | 0.323746i | −0.761421 | − | 0.648258i | \(-0.775498\pi\) |
−0.234966 | + | 0.972004i | \(0.575498\pi\) | |||||||
\(432\) | −10.7562 | + | 6.63202i | −0.517506 | + | 0.319083i | ||||
\(433\) | −0.790197 | − | 0.402626i | −0.0379745 | − | 0.0193489i | 0.434900 | − | 0.900479i | \(-0.356784\pi\) |
−0.472875 | + | 0.881130i | \(0.656784\pi\) | |||||||
\(434\) | 4.49016 | + | 3.26229i | 0.215535 | + | 0.156595i | ||||
\(435\) | −1.23205 | − | 10.4466i | −0.0590721 | − | 0.500874i | ||||
\(436\) | 0.629734 | − | 0.457529i | 0.0301588 | − | 0.0219117i | ||||
\(437\) | −17.9971 | + | 2.85046i | −0.860917 | + | 0.136356i | ||||
\(438\) | −1.18671 | + | 2.49386i | −0.0567033 | + | 0.119161i | ||||
\(439\) | 12.5382 | + | 17.2573i | 0.598414 | + | 0.823646i | 0.995562 | − | 0.0941088i | \(-0.0300002\pi\) |
−0.397148 | + | 0.917754i | \(0.630000\pi\) | |||||||
\(440\) | 0.0140577 | + | 0.0160728i | 0.000670175 | + | 0.000766239i | ||||
\(441\) | 8.86415 | − | 33.3250i | 0.422103 | − | 1.58690i | ||||
\(442\) | −2.00200 | + | 3.92915i | −0.0952254 | + | 0.186890i | ||||
\(443\) | −18.3392 | − | 18.3392i | −0.871320 | − | 0.871320i | 0.121296 | − | 0.992616i | \(-0.461295\pi\) |
−0.992616 | + | 0.121296i | \(0.961295\pi\) | |||||||
\(444\) | −7.99026 | − | 2.35888i | −0.379201 | − | 0.111948i | ||||
\(445\) | −2.47030 | − | 0.989356i | −0.117104 | − | 0.0469000i | ||||
\(446\) | −12.2515 | − | 3.98076i | −0.580126 | − | 0.188494i | ||||
\(447\) | −0.159010 | + | 1.21639i | −0.00752093 | + | 0.0575334i | ||||
\(448\) | −5.87931 | + | 37.1205i | −0.277771 | + | 1.75378i | ||||
\(449\) | −31.3558 | −1.47977 | −0.739887 | − | 0.672731i | \(-0.765121\pi\) | ||||
−0.739887 | + | 0.672731i | \(0.765121\pi\) | |||||||
\(450\) | −11.5049 | − | 13.4932i | −0.542348 | − | 0.636074i | ||||
\(451\) | 0.0142288 | 0.000670008 | ||||||||
\(452\) | 0.934871 | − | 5.90255i | 0.0439726 | − | 0.277632i | ||||
\(453\) | 4.05298 | − | 31.0043i | 0.190425 | − | 1.45671i | ||||
\(454\) | 2.32731 | + | 0.756188i | 0.109226 | + | 0.0354896i | ||||
\(455\) | −1.09516 | + | 16.3757i | −0.0513420 | + | 0.767706i | ||||
\(456\) | 13.3438 | + | 3.93935i | 0.624880 | + | 0.184477i | ||||
\(457\) | 13.8448 | + | 13.8448i | 0.647634 | + | 0.647634i | 0.952421 | − | 0.304786i | \(-0.0985851\pi\) |
−0.304786 | + | 0.952421i | \(0.598585\pi\) | |||||||
\(458\) | 8.03513 | − | 15.7698i | 0.375457 | − | 0.736876i | ||||
\(459\) | 8.61573 | − | 7.39948i | 0.402148 | − | 0.345378i | ||||
\(460\) | −0.847930 | − | 9.36440i | −0.0395349 | − | 0.436618i | ||||
\(461\) | −15.7932 | − | 21.7374i | −0.735561 | − | 1.01241i | −0.998862 | − | 0.0476987i | \(-0.984811\pi\) |
0.263301 | − | 0.964714i | \(-0.415189\pi\) | |||||||
\(462\) | 0.0117439 | − | 0.0246796i | 0.000546376 | − | 0.00114820i | ||||
\(463\) | −36.2266 | + | 5.73773i | −1.68359 | + | 0.266655i | −0.923623 | − | 0.383303i | \(-0.874787\pi\) |
−0.759970 | + | 0.649958i | \(0.774787\pi\) | |||||||
\(464\) | 5.34351 | − | 3.88229i | 0.248066 | − | 0.180231i | ||||
\(465\) | 2.86883 | + | 3.10606i | 0.133039 | + | 0.144040i | ||||
\(466\) | −9.82702 | − | 7.13975i | −0.455228 | − | 0.330742i | ||||
\(467\) | −8.76385 | − | 4.46541i | −0.405543 | − | 0.206634i | 0.239307 | − | 0.970944i | \(-0.423080\pi\) |
−0.644849 | + | 0.764310i | \(0.723080\pi\) | |||||||
\(468\) | 2.82065 | + | 1.24966i | 0.130385 | + | 0.0577657i | ||||
\(469\) | −19.1212 | + | 6.21286i | −0.882936 | + | 0.286883i | ||||
\(470\) | 22.8683 | + | 19.0708i | 1.05484 | + | 0.879671i | ||||
\(471\) | 31.1585 | − | 23.9541i | 1.43571 | − | 1.10374i | ||||
\(472\) | 6.86691 | − | 3.49887i | 0.316075 | − | 0.161048i | ||||
\(473\) | 0.00890130 | + | 0.00140983i | 0.000409282 | + | 6.48239e-5i | ||||
\(474\) | −20.8599 | − | 14.3086i | −0.958128 | − | 0.657215i | ||||
\(475\) | −1.73835 | + | 12.9385i | −0.0797609 | + | 0.593657i | ||||
\(476\) | − | 5.66357i | − | 0.259589i | ||||||
\(477\) | −13.6244 | + | 2.92199i | −0.623817 | + | 0.133789i | ||||
\(478\) | −13.0837 | − | 25.6782i | −0.598435 | − | 1.17450i | ||||
\(479\) | −10.1169 | + | 31.1365i | −0.462252 | + | 1.42266i | 0.400155 | + | 0.916448i | \(0.368956\pi\) |
−0.862406 | + | 0.506217i | \(0.831044\pi\) | |||||||
\(480\) | −4.39953 | + | 11.9103i | −0.200810 | + | 0.543627i | ||||
\(481\) | −4.21025 | − | 12.9578i | −0.191971 | − | 0.590825i | ||||
\(482\) | 17.8697 | − | 17.8697i | 0.813943 | − | 0.813943i | ||||
\(483\) | −45.6615 | + | 24.8462i | −2.07767 | + | 1.13054i | ||||
\(484\) | 3.89578 | − | 5.36208i | 0.177081 | − | 0.243731i | ||||
\(485\) | 18.5547 | + | 11.0723i | 0.842526 | + | 0.502766i | ||||
\(486\) | 12.7458 | + | 13.3090i | 0.578161 | + | 0.603706i | ||||
\(487\) | 2.35760 | + | 14.8853i | 0.106833 | + | 0.674518i | 0.981740 | + | 0.190227i | \(0.0609224\pi\) |
−0.874907 | + | 0.484291i | \(0.839078\pi\) | |||||||
\(488\) | −0.333085 | − | 2.10301i | −0.0150780 | − | 0.0951990i | ||||
\(489\) | 0.504417 | + | 18.6129i | 0.0228105 | + | 0.841704i | ||||
\(490\) | 11.9569 | + | 27.9327i | 0.540158 | + | 1.26187i | ||||
\(491\) | −0.853756 | + | 1.17509i | −0.0385295 | + | 0.0530313i | −0.827847 | − | 0.560954i | \(-0.810435\pi\) |
0.789318 | + | 0.613985i | \(0.210435\pi\) | |||||||
\(492\) | 2.28664 | + | 4.20230i | 0.103090 | + | 0.189454i | ||||
\(493\) | −4.19756 | + | 4.19756i | −0.189049 | + | 0.189049i | ||||
\(494\) | 1.62784 | + | 5.00998i | 0.0732401 | + | 0.225410i | ||||
\(495\) | 0.0124497 | − | 0.0166896i | 0.000559574 | − | 0.000750142i | ||||
\(496\) | −0.820419 | + | 2.52499i | −0.0368379 | + | 0.113375i | ||||
\(497\) | 15.2527 | + | 29.9350i | 0.684175 | + | 1.34277i | ||||
\(498\) | −7.74074 | + | 8.17198i | −0.346871 | + | 0.366195i | ||||
\(499\) | − | 13.5934i | − | 0.608523i | −0.952589 | − | 0.304262i | \(-0.901590\pi\) | ||
0.952589 | − | 0.304262i | \(-0.0984097\pi\) | |||||||
\(500\) | −6.60183 | − | 1.34055i | −0.295243 | − | 0.0599511i | ||||
\(501\) | 2.67909 | − | 3.90575i | 0.119693 | − | 0.174496i | ||||
\(502\) | 1.35281 | + | 0.214265i | 0.0603790 | + | 0.00956310i | ||||
\(503\) | 31.8257 | − | 16.2160i | 1.41904 | − | 0.723036i | 0.434907 | − | 0.900476i | \(-0.356781\pi\) |
0.984132 | + | 0.177439i | \(0.0567814\pi\) | |||||||
\(504\) | 39.6344 | − | 2.14980i | 1.76546 | − | 0.0957596i | ||||
\(505\) | 8.50870 | − | 5.35281i | 0.378632 | − | 0.238197i | ||||
\(506\) | −0.0243539 | + | 0.00791308i | −0.00108267 | + | 0.000351779i | ||||
\(507\) | −3.19960 | − | 17.1759i | −0.142099 | − | 0.762809i | ||||
\(508\) | 8.45163 | + | 4.30632i | 0.374981 | + | 0.191062i | ||||
\(509\) | −1.47222 | − | 1.06963i | −0.0652552 | − | 0.0474107i | 0.554679 | − | 0.832064i | \(-0.312841\pi\) |
−0.619935 | + | 0.784653i | \(0.712841\pi\) | |||||||
\(510\) | −1.95632 | + | 9.81383i | −0.0866272 | + | 0.434564i | ||||
\(511\) | 4.69292 | − | 3.40961i | 0.207603 | − | 0.150832i | ||||
\(512\) | −22.6538 | + | 3.58800i | −1.00116 | + | 0.158569i | ||||
\(513\) | 1.02736 | − | 13.5279i | 0.0453590 | − | 0.597271i | ||||
\(514\) | −1.61520 | − | 2.22313i | −0.0712433 | − | 0.0980580i | ||||
\(515\) | −7.57984 | + | 12.7022i | −0.334008 | + | 0.559724i | ||||
\(516\) | 1.01411 | + | 2.85546i | 0.0446436 | + | 0.125704i | ||||
\(517\) | −0.0158737 | + | 0.0311538i | −0.000698123 | + | 0.00137014i | ||||
\(518\) | −28.6972 | − | 28.6972i | −1.26088 | − | 1.26088i | ||||
\(519\) | 7.23514 | − | 24.5076i | 0.317587 | − | 1.07577i | ||||
\(520\) | −11.3838 | + | 2.87503i | −0.499213 | + | 0.126079i | ||||
\(521\) | 39.2605 | + | 12.7565i | 1.72004 | + | 0.558873i | 0.991952 | − | 0.126615i | \(-0.0404114\pi\) |
0.728083 | + | 0.685489i | \(0.240411\pi\) | |||||||
\(522\) | −7.16978 | − | 6.43201i | −0.313813 | − | 0.281521i | ||||
\(523\) | −4.63808 | + | 29.2837i | −0.202809 | + | 1.28049i | 0.650671 | + | 0.759360i | \(0.274488\pi\) |
−0.853480 | + | 0.521125i | \(0.825512\pi\) | |||||||
\(524\) | 4.12394 | 0.180155 | ||||||||
\(525\) | 7.67993 | + | 36.4433i | 0.335180 | + | 1.59051i | ||||
\(526\) | 12.4071 | 0.540974 | ||||||||
\(527\) | 0.373275 | − | 2.35676i | 0.0162601 | − | 0.102662i | ||||
\(528\) | 0.0129638 | + | 0.00169466i | 0.000564175 | + | 7.37506e-5i | ||||
\(529\) | 24.4465 | + | 7.94315i | 1.06289 | + | 0.345354i | ||||
\(530\) | 7.86334 | − | 9.42915i | 0.341562 | − | 0.409576i | ||||
\(531\) | −4.74007 | − | 5.83167i | −0.205702 | − | 0.253073i | ||||
\(532\) | −4.78396 | − | 4.78396i | −0.207411 | − | 0.207411i | ||||
\(533\) | −3.55197 | + | 6.97114i | −0.153853 | + | 0.301953i | ||||
\(534\) | −2.29618 | + | 0.815482i | −0.0993654 | + | 0.0352894i | ||||
\(535\) | −34.5003 | − | 7.85480i | −1.49158 | − | 0.339593i | ||||
\(536\) | −8.45420 | − | 11.6362i | −0.365166 | − | 0.502608i | ||||
\(537\) | −22.7559 | − | 10.8285i | −0.981991 | − | 0.467285i | ||||
\(538\) | 28.2543 | − | 4.47505i | 1.21813 | − | 0.192933i | ||||
\(539\) | −0.0288641 | + | 0.0209710i | −0.00124327 | + | 0.000903286i | ||||
\(540\) | 6.92981 | + | 0.994773i | 0.298211 | + | 0.0428082i | ||||
\(541\) | 20.0487 | + | 14.5662i | 0.861959 | + | 0.626250i | 0.928417 | − | 0.371539i | \(-0.121170\pi\) |
−0.0664581 | + | 0.997789i | \(0.521170\pi\) | |||||||
\(542\) | 14.1951 | + | 7.23275i | 0.609731 | + | 0.310673i | ||||
\(543\) | 4.83412 | − | 0.900521i | 0.207452 | − | 0.0386451i | ||||
\(544\) | 6.81462 | − | 2.21420i | 0.292174 | − | 0.0949332i | ||||
\(545\) | 2.88226 | + | 0.192757i | 0.123462 | + | 0.00825680i | ||||
\(546\) | 9.15966 | + | 11.9145i | 0.391997 | + | 0.509895i | ||||
\(547\) | 7.36545 | − | 3.75288i | 0.314924 | − | 0.160462i | −0.289383 | − | 0.957213i | \(-0.593450\pi\) |
0.604307 | + | 0.796752i | \(0.293450\pi\) | |||||||
\(548\) | 8.35145 | + | 1.32274i | 0.356756 | + | 0.0565046i | ||||
\(549\) | −1.93697 | + | 0.747597i | −0.0826678 | + | 0.0319067i | ||||
\(550\) | 0.000431542 | 0.0183412i | 1.84010e−5 | 0.000782072i | ||||||
\(551\) | 7.09128i | 0.302099i | ||||||||
\(552\) | −26.9992 | − | 25.5744i | −1.14916 | − | 1.08852i | ||||
\(553\) | 24.1204 | + | 47.3390i | 1.02570 | + | 2.01306i | ||||
\(554\) | −7.95976 | + | 24.4976i | −0.338178 | + | 1.04080i | ||||
\(555\) | −17.1664 | − | 25.7143i | −0.728671 | − | 1.09151i | ||||
\(556\) | −0.340101 | − | 1.04672i | −0.0144235 | − | 0.0443910i | ||||
\(557\) | 28.8164 | − | 28.8164i | 1.22099 | − | 1.22099i | 0.253709 | − | 0.967281i | \(-0.418349\pi\) |
0.967281 | − | 0.253709i | \(-0.0816505\pi\) | |||||||
\(558\) | 3.85124 | + | 0.397666i | 0.163036 | + | 0.0168345i | ||||
\(559\) | −2.91277 | + | 4.00909i | −0.123197 | + | 0.169566i | ||||
\(560\) | −17.6027 | + | 15.3958i | −0.743850 | + | 0.650593i | ||||
\(561\) | −0.0117461 | 0.000318324i | −0.000495921 | 1.34397e-5i | ||||||
\(562\) | −1.35737 | − | 8.57007i | −0.0572570 | − | 0.361507i | ||||
\(563\) | −2.25656 | − | 14.2474i | −0.0951028 | − | 0.600455i | −0.988504 | − | 0.151196i | \(-0.951688\pi\) |
0.893401 | − | 0.449260i | \(-0.148312\pi\) | |||||||
\(564\) | −11.7519 | + | 0.318481i | −0.494843 | + | 0.0134105i | ||||
\(565\) | 16.6937 | − | 14.6008i | 0.702307 | − | 0.614259i | ||||
\(566\) | −0.624583 | + | 0.859665i | −0.0262532 | + | 0.0361344i | ||||
\(567\) | −10.1541 | − | 37.3491i | −0.426433 | − | 1.56851i | ||||
\(568\) | −16.9953 | + | 16.9953i | −0.713106 | + | 0.713106i | ||||
\(569\) | −8.95935 | − | 27.5741i | −0.375596 | − | 1.15596i | −0.943076 | − | 0.332578i | \(-0.892082\pi\) |
0.567480 | − | 0.823387i | \(-0.307918\pi\) | |||||||
\(570\) | 6.63717 | + | 9.94213i | 0.278000 | + | 0.416430i | ||||
\(571\) | 5.43982 | − | 16.7420i | 0.227649 | − | 0.700632i | −0.770363 | − | 0.637606i | \(-0.779925\pi\) |
0.998012 | − | 0.0630264i | \(-0.0200752\pi\) | |||||||
\(572\) | −0.00144911 | − | 0.00284403i | −6.05902e−5 | − | 0.000118915i | ||||
\(573\) | 22.8314 | + | 21.6266i | 0.953795 | + | 0.903463i | ||||
\(574\) | 23.3052i | 0.972740i | ||||||||
\(575\) | 19.8407 | − | 28.7047i | 0.827413 | − | 1.19707i | ||||
\(576\) | 9.44026 | + | 24.4590i | 0.393344 | + | 1.01913i | ||||
\(577\) | −25.9701 | − | 4.11327i | −1.08115 | − | 0.171238i | −0.409651 | − | 0.912242i | \(-0.634350\pi\) |
−0.671500 | + | 0.741005i | \(0.734350\pi\) | |||||||
\(578\) | −12.8743 | + | 6.55978i | −0.535500 | + | 0.272851i | ||||
\(579\) | −19.8280 | − | 25.7915i | −0.824024 | − | 1.07186i | ||||
\(580\) | −3.65113 | − | 0.244177i | −0.151605 | − | 0.0101389i | ||||
\(581\) | 22.4847 | − | 7.30571i | 0.932821 | − | 0.303092i | ||||
\(582\) | 19.4508 | − | 3.62338i | 0.806262 | − | 0.150194i | ||||
\(583\) | 0.0128454 | + | 0.00654508i | 0.000532004 | + | 0.000271070i | ||||
\(584\) | 3.35728 | + | 2.43921i | 0.138925 | + | 0.100935i | ||||
\(585\) | 5.06891 | + | 10.2658i | 0.209574 | + | 0.424438i | ||||
\(586\) | 21.2183 | − | 15.4160i | 0.876520 | − | 0.636829i | ||||
\(587\) | 39.9923 | − | 6.33416i | 1.65066 | − | 0.261439i | 0.739398 | − | 0.673269i | \(-0.235110\pi\) |
0.911261 | + | 0.411830i | \(0.135110\pi\) | |||||||
\(588\) | −10.8321 | − | 5.15452i | −0.446710 | − | 0.212569i | ||||
\(589\) | −1.67543 | − | 2.30604i | −0.0690351 | − | 0.0950186i | ||||
\(590\) | 6.45646 | + | 1.46996i | 0.265808 | + | 0.0605175i | ||||
\(591\) | 36.4376 | − | 12.9407i | 1.49884 | − | 0.532310i | ||||
\(592\) | 8.81355 | − | 17.2976i | 0.362235 | − | 0.710926i | ||||
\(593\) | −15.8778 | − | 15.8778i | −0.652025 | − | 0.652025i | 0.301455 | − | 0.953480i | \(-0.402528\pi\) |
−0.953480 | + | 0.301455i | \(0.902528\pi\) | |||||||
\(594\) | −0.00154801 | − | 0.0190031i | −6.35155e−5 | − | 0.000779706i | ||||
\(595\) | 13.4612 | − | 16.1417i | 0.551855 | − | 0.661744i | ||||
\(596\) | 0.405865 | + | 0.131874i | 0.0166249 | + | 0.00540176i | ||||
\(597\) | −10.0826 | − | 1.31802i | −0.412651 | − | 0.0539430i | ||||
\(598\) | 2.20267 | − | 13.9071i | 0.0900740 | − | 0.568705i | ||||
\(599\) | −47.5909 | −1.94451 | −0.972256 | − | 0.233919i | \(-0.924845\pi\) | ||||
−0.972256 | + | 0.233919i | \(0.924845\pi\) | |||||||
\(600\) | −23.0975 | + | 13.2817i | −0.942950 | + | 0.542225i | ||||
\(601\) | −20.0005 | −0.815836 | −0.407918 | − | 0.913019i | \(-0.633745\pi\) | ||||
−0.407918 | + | 0.913019i | \(0.633745\pi\) | |||||||
\(602\) | −2.30914 | + | 14.5793i | −0.0941136 | + | 0.594210i | ||||
\(603\) | −9.36561 | + | 10.4399i | −0.381397 | + | 0.425144i | ||||
\(604\) | −10.3450 | − | 3.36130i | −0.420932 | − | 0.136769i | ||||
\(605\) | 23.8479 | − | 6.02290i | 0.969556 | − | 0.244866i | ||||
\(606\) | 2.60624 | − | 8.82814i | 0.105871 | − | 0.358619i | ||||
\(607\) | 3.30961 | + | 3.30961i | 0.134333 | + | 0.134333i | 0.771076 | − | 0.636743i | \(-0.219719\pi\) |
−0.636743 | + | 0.771076i | \(0.719719\pi\) | |||||||
\(608\) | 3.88593 | − | 7.62656i | 0.157595 | − | 0.309298i | ||||
\(609\) | 6.77056 | + | 19.0641i | 0.274357 | + | 0.772516i | ||||
\(610\) | 0.937450 | − | 1.57096i | 0.0379562 | − | 0.0636063i | ||||
\(611\) | −11.3007 | − | 15.5540i | −0.457176 | − | 0.629248i | ||||
\(612\) | −1.98167 | − | 3.41791i | −0.0801042 | − | 0.138161i | ||||
\(613\) | 4.28221 | − | 0.678235i | 0.172957 | − | 0.0273937i | −0.0693553 | − | 0.997592i | \(-0.522094\pi\) |
0.242312 | + | 0.970198i | \(0.422094\pi\) | |||||||
\(614\) | 1.32094 | − | 0.959722i | 0.0533089 | − | 0.0387312i | ||||
\(615\) | −3.47092 | + | 17.4118i | −0.139961 | + | 0.702112i | ||||
\(616\) | −0.0332242 | − | 0.0241388i | −0.00133864 | − | 0.000972580i | ||||
\(617\) | −1.87440 | − | 0.955057i | −0.0754607 | − | 0.0384491i | 0.415853 | − | 0.909432i | \(-0.363483\pi\) |
−0.491314 | + | 0.870983i | \(0.663483\pi\) | |||||||
\(618\) | 2.48049 | + | 13.3156i | 0.0997799 | + | 0.535632i | ||||
\(619\) | −6.53439 | + | 2.12315i | −0.262639 | + | 0.0853367i | −0.437377 | − | 0.899278i | \(-0.644092\pi\) |
0.174737 | + | 0.984615i | \(0.444092\pi\) | |||||||
\(620\) | 1.24501 | − | 0.783235i | 0.0500009 | − | 0.0314555i | ||||
\(621\) | −18.8627 | + | 30.9713i | −0.756932 | + | 1.24284i | ||||
\(622\) | −30.0484 | + | 15.3104i | −1.20483 | + | 0.613892i | ||||
\(623\) | 5.05489 | + | 0.800615i | 0.202520 | + | 0.0320760i | ||||
\(624\) | −4.06644 | + | 5.92831i | −0.162788 | + | 0.237322i | ||||
\(625\) | −15.6296 | − | 19.5119i | −0.625184 | − | 0.780478i | ||||
\(626\) | − | 4.73226i | − | 0.189139i | ||||||
\(627\) | −0.00965293 | + | 0.0101907i | −0.000385501 | + | 0.000406978i | ||||
\(628\) | −6.20704 | − | 12.1820i | −0.247688 | − | 0.486115i | ||||
\(629\) | −5.39175 | + | 16.5941i | −0.214983 | + | 0.661650i | ||||
\(630\) | 27.3357 | + | 20.3913i | 1.08908 | + | 0.812408i | ||||
\(631\) | 1.53609 | + | 4.72761i | 0.0611509 | + | 0.188203i | 0.976965 | − | 0.213399i | \(-0.0684535\pi\) |
−0.915814 | + | 0.401602i | \(0.868453\pi\) | |||||||
\(632\) | −26.8762 | + | 26.8762i | −1.06908 | + | 1.06908i | ||||
\(633\) | 12.9714 | + | 23.8384i | 0.515567 | + | 0.947490i | ||||
\(634\) | 2.22518 | − | 3.06270i | 0.0883733 | − | 0.121635i | ||||
\(635\) | 13.8526 | + | 32.3613i | 0.549725 | + | 1.28422i | ||||
\(636\) | 0.131317 | + | 4.84557i | 0.00520706 | + | 0.192139i | ||||
\(637\) | −3.06894 | − | 19.3765i | −0.121596 | − | 0.767725i | ||||
\(638\) | 0.00155897 | + | 0.00984296i | 6.17203e−5 | + | 0.000389686i | ||||
\(639\) | 19.6790 | + | 12.7286i | 0.778490 | + | 0.503537i | ||||
\(640\) | −7.24740 | − | 4.32479i | −0.286479 | − | 0.170952i | ||||
\(641\) | −10.0831 | + | 13.8782i | −0.398260 | + | 0.548157i | −0.960306 | − | 0.278948i | \(-0.910014\pi\) |
0.562047 | + | 0.827106i | \(0.310014\pi\) | |||||||
\(642\) | −28.4594 | + | 15.4859i | −1.12320 | + | 0.611179i | ||||
\(643\) | 15.7474 | − | 15.7474i | 0.621018 | − | 0.621018i | −0.324774 | − | 0.945792i | \(-0.605288\pi\) |
0.945792 | + | 0.324774i | \(0.105288\pi\) | |||||||
\(644\) | 5.58821 | + | 17.1987i | 0.220206 | + | 0.677726i | ||||
\(645\) | −3.89656 | + | 10.5486i | −0.153427 | + | 0.415352i | ||||
\(646\) | 2.08466 | − | 6.41591i | 0.0820197 | − | 0.252431i | ||||
\(647\) | 9.99983 | + | 19.6258i | 0.393134 | + | 0.771569i | 0.999725 | − | 0.0234450i | \(-0.00746346\pi\) |
−0.606591 | + | 0.795014i | \(0.707463\pi\) | |||||||
\(648\) | 23.1668 | − | 15.1654i | 0.910078 | − | 0.595752i | ||||
\(649\) | 0.00777537i | 0.000305210i | ||||||||
\(650\) | −9.09366 | − | 4.36714i | −0.356683 | − | 0.171293i | ||||
\(651\) | −6.70596 | − | 4.59986i | −0.262827 | − | 0.180283i | ||||
\(652\) | 6.39758 | + | 1.01328i | 0.250549 | + | 0.0396830i | ||||
\(653\) | −33.1817 | + | 16.9069i | −1.29850 | + | 0.661619i | −0.960172 | − | 0.279409i | \(-0.909861\pi\) |
−0.338328 | + | 0.941028i | \(0.609861\pi\) | |||||||
\(654\) | 2.09705 | − | 1.61217i | 0.0820012 | − | 0.0630409i | ||||
\(655\) | 11.7536 | + | 9.80180i | 0.459251 | + | 0.382988i | ||||
\(656\) | −10.6025 | + | 3.44496i | −0.413958 | + | 0.134503i | ||||
\(657\) | 1.63912 | − | 3.69971i | 0.0639481 | − | 0.144339i | ||||
\(658\) | −51.0265 | − | 25.9993i | −1.98922 | − | 1.01356i | ||||
\(659\) | −20.3792 | − | 14.8063i | −0.793859 | − | 0.576772i | 0.115247 | − | 0.993337i | \(-0.463234\pi\) |
−0.909106 | + | 0.416564i | \(0.863234\pi\) | |||||||
\(660\) | −0.00491456 | − | 0.00532096i | −0.000191299 | − | 0.000207118i | ||||
\(661\) | −5.36545 | + | 3.89823i | −0.208692 | + | 0.151623i | −0.687222 | − | 0.726448i | \(-0.741170\pi\) |
0.478530 | + | 0.878071i | \(0.341170\pi\) | |||||||
\(662\) | 16.6630 | − | 2.63916i | 0.647626 | − | 0.102574i | ||||
\(663\) | 2.77625 | − | 5.83425i | 0.107821 | − | 0.226583i | ||||
\(664\) | 9.94131 | + | 13.6830i | 0.385798 | + | 0.531005i | ||||
\(665\) | −2.26418 | − | 25.0053i | −0.0878011 | − | 0.969662i | ||||
\(666\) | −27.3596 | − | 7.27741i | −1.06016 | − | 0.281994i | ||||
\(667\) | 8.60516 | − | 16.8886i | 0.333193 | − | 0.653929i | ||||
\(668\) | −1.16505 | − | 1.16505i | −0.0450772 | − | 0.0450772i | ||||
\(669\) | 18.1021 | + | 5.34409i | 0.699867 | + | 0.206614i | ||||
\(670\) | 0.824615 | − | 12.3303i | 0.0318576 | − | 0.476361i | ||||
\(671\) | 0.00204300 | 0.000663812i | 7.88693e−5 | 2.56262e-5i | ||||||
\(672\) | 3.16524 | − | 24.2133i | 0.122102 | − | 0.934049i | ||||
\(673\) | 3.58329 | − | 22.6240i | 0.138126 | − | 0.872092i | −0.817161 | − | 0.576410i | \(-0.804453\pi\) |
0.955286 | − | 0.295682i | \(-0.0955469\pi\) | |||||||
\(674\) | 7.06086 | 0.271974 | ||||||||
\(675\) | 17.3862 | + | 19.3060i | 0.669194 | + | 0.743087i | ||||
\(676\) | −6.07785 | −0.233763 | ||||||||
\(677\) | 1.88685 | − | 11.9131i | 0.0725174 | − | 0.457857i | −0.924533 | − | 0.381103i | \(-0.875544\pi\) |
0.997050 | − | 0.0767541i | \(-0.0244557\pi\) | |||||||
\(678\) | 2.63232 | − | 20.1367i | 0.101094 | − | 0.773344i | ||||
\(679\) | −39.5224 | − | 12.8416i | −1.51673 | − | 0.492815i | ||||
\(680\) | 13.9583 | + | 5.59030i | 0.535277 | + | 0.214378i | ||||
\(681\) | −3.43868 | − | 1.01517i | −0.131771 | − | 0.0389013i | ||||
\(682\) | −0.00283253 | − | 0.00283253i | −0.000108463 | − | 0.000108463i | ||||
\(683\) | 1.18824 | − | 2.33206i | 0.0454669 | − | 0.0892338i | −0.867155 | − | 0.498038i | \(-0.834054\pi\) |
0.912622 | + | 0.408804i | \(0.134054\pi\) | |||||||
\(684\) | −4.56097 | − | 1.21318i | −0.174393 | − | 0.0463870i | ||||
\(685\) | 20.6585 | + | 23.6197i | 0.789320 | + | 0.902461i | ||||
\(686\) | −13.4307 | − | 18.4858i | −0.512788 | − | 0.705793i | ||||
\(687\) | −11.1426 | + | 23.4161i | −0.425118 | + | 0.893379i | ||||
\(688\) | −6.97408 | + | 1.10459i | −0.265884 | + | 0.0421120i | ||||
\(689\) | −6.41328 | + | 4.65952i | −0.244327 | + | 0.177514i | ||||
\(690\) | −3.74244 | − | 31.7323i | −0.142472 | − | 1.20803i | ||||
\(691\) | −12.9010 | − | 9.37313i | −0.490778 | − | 0.356571i | 0.314706 | − | 0.949189i | \(-0.398094\pi\) |
−0.805483 | + | 0.592619i | \(0.798094\pi\) | |||||||
\(692\) | −7.92046 | − | 4.03568i | −0.301091 | − | 0.153413i | ||||
\(693\) | −0.0162210 | + | 0.0366129i | −0.000616185 | + | 0.00139081i | ||||
\(694\) | 9.19180 | − | 2.98660i | 0.348916 | − | 0.113370i | ||||
\(695\) | 1.51854 | − | 3.79161i | 0.0576014 | − | 0.143824i | ||||
\(696\) | −11.4741 | + | 8.82102i | −0.434923 | + | 0.334360i | ||||
\(697\) | 8.92742 | − | 4.54875i | 0.338150 | − | 0.172296i | ||||
\(698\) | −21.3502 | − | 3.38154i | −0.808117 | − | 0.127993i | ||||
\(699\) | 14.6764 | + | 10.0671i | 0.555114 | + | 0.380773i | ||||
\(700\) | 12.9526 | − | 0.304755i | 0.489560 | − | 0.0115186i | ||||
\(701\) | 31.1047i | 1.17481i | 0.809294 | + | 0.587404i | \(0.199850\pi\) | ||||
−0.809294 | + | 0.587404i | \(0.800150\pi\) | |||||||
\(702\) | 9.69664 | + | 3.98537i | 0.365976 | + | 0.150418i | ||||
\(703\) | 9.46252 | + | 18.5712i | 0.356886 | + | 0.700427i | ||||
\(704\) | 0.00838227 | − | 0.0257980i | 0.000315919 | − | 0.000972298i | ||||
\(705\) | −34.2508 | − | 27.0242i | −1.28996 | − | 1.01779i | ||||
\(706\) | 6.59836 | + | 20.3077i | 0.248333 | + | 0.764289i | ||||
\(707\) | −13.6707 | + | 13.6707i | −0.514140 | + | 0.514140i | ||||
\(708\) | −2.29636 | + | 1.24954i | −0.0863025 | + | 0.0469606i | ||||
\(709\) | 0.226198 | − | 0.311335i | 0.00849504 | − | 0.0116924i | −0.804748 | − | 0.593616i | \(-0.797700\pi\) |
0.813243 | + | 0.581924i | \(0.197700\pi\) | |||||||
\(710\) | −20.5664 | + | 1.86225i | −0.771844 | + | 0.0698890i | ||||
\(711\) | 31.1202 | + | 20.1289i | 1.16710 | + | 0.754894i | ||||
\(712\) | 0.572755 | + | 3.61623i | 0.0214649 | + | 0.135524i | ||||
\(713\) | 1.19187 | + | 7.52517i | 0.0446359 | + | 0.281820i | ||||
\(714\) | −0.521380 | − | 19.2388i | −0.0195122 | − | 0.719994i | ||||
\(715\) | 0.00262962 | − | 0.0115500i | 9.83423e−5 | − | 0.000431945i | ||||
\(716\) | −5.15298 | + | 7.09248i | −0.192576 | + | 0.265058i | ||||
\(717\) | 20.1822 | + | 37.0901i | 0.753717 | + | 1.38515i | ||||
\(718\) | 8.55659 | − | 8.55659i | 0.319329 | − | 0.319329i | ||||
\(719\) | 2.23139 | + | 6.86751i | 0.0832168 | + | 0.256115i | 0.984004 | − | 0.178145i | \(-0.0570098\pi\) |
−0.900787 | + | 0.434260i | \(0.857010\pi\) | |||||||
\(720\) | −5.23609 | + | 15.4504i | −0.195138 | + | 0.575802i | ||||
\(721\) | 8.79107 | − | 27.0561i | 0.327397 | − | 1.00762i | ||||
\(722\) | 6.53839 | + | 12.8323i | 0.243334 | + | 0.477569i | ||||
\(723\) | −25.4634 | + | 26.8820i | −0.946994 | + | 0.999752i | ||||
\(724\) | − | 1.71060i | − | 0.0635738i | ||||||
\(725\) | −9.82567 | − | 9.37393i | −0.364916 | − | 0.348139i | ||||
\(726\) | 12.7401 | − | 18.5733i | 0.472830 | − | 0.689320i | ||||
\(727\) | 14.6678 | + | 2.32315i | 0.543997 | + | 0.0861607i | 0.422384 | − | 0.906417i | \(-0.361193\pi\) |
0.121613 | + | 0.992578i | \(0.461193\pi\) | |||||||
\(728\) | 20.1202 | − | 10.2518i | 0.745705 | − | 0.379956i | ||||
\(729\) | −19.1963 | − | 18.9869i | −0.710973 | − | 0.703219i | ||||
\(730\) | 0.873066 | + | 3.45694i | 0.0323136 | + | 0.127947i | ||||
\(731\) | 6.03555 | − | 1.96107i | 0.223233 | − | 0.0725327i | ||||
\(732\) | 0.132272 | + | 0.710054i | 0.00488892 | + | 0.0262444i | ||||
\(733\) | 15.8011 | + | 8.05107i | 0.583628 | + | 0.297373i | 0.720766 | − | 0.693179i | \(-0.243790\pi\) |
−0.137138 | + | 0.990552i | \(0.543790\pi\) | |||||||
\(734\) | 30.8718 | + | 22.4297i | 1.13950 | + | 0.827894i | ||||
\(735\) | −18.6213 | − | 40.4367i | −0.686856 | − | 1.49153i | ||||
\(736\) | −18.5094 | + | 13.4479i | −0.682267 | + | 0.495696i | ||||
\(737\) | 0.0143323 | − | 0.00227001i | 0.000527936 | − | 8.36168e-5i | ||||
\(738\) | 8.15443 | + | 14.0645i | 0.300169 | + | 0.517720i | ||||
\(739\) | −12.7250 | − | 17.5144i | −0.468096 | − | 0.644279i | 0.508067 | − | 0.861318i | \(-0.330360\pi\) |
−0.976163 | + | 0.217039i | \(0.930360\pi\) | |||||||
\(740\) | −9.88770 | + | 4.23255i | −0.363479 | + | 0.155591i | ||||
\(741\) | −2.58306 | − | 7.27321i | −0.0948911 | − | 0.267188i | ||||
\(742\) | −10.7201 | + | 21.0394i | −0.393548 | + | 0.772381i | ||||
\(743\) | 9.22183 | + | 9.22183i | 0.338316 | + | 0.338316i | 0.855733 | − | 0.517417i | \(-0.173106\pi\) |
−0.517417 | + | 0.855733i | \(0.673106\pi\) | |||||||
\(744\) | 1.64717 | − | 5.57948i | 0.0603883 | − | 0.204554i | ||||
\(745\) | 0.843315 | + | 1.34051i | 0.0308967 | + | 0.0491126i | ||||
\(746\) | −27.4157 | − | 8.90788i | −1.00376 | − | 0.326141i | ||||
\(747\) | 11.0130 | − | 12.2763i | 0.402946 | − | 0.449165i | ||||
\(748\) | −0.000639453 | 0.00403734i | −2.33807e−5 | 0.000147620i | ||||||
\(749\) | 68.0510 | 2.48653 | ||||||||
\(750\) | −22.5495 | − | 3.94601i | −0.823390 | − | 0.144088i | ||||
\(751\) | −9.58161 | −0.349638 | −0.174819 | − | 0.984601i | \(-0.555934\pi\) | ||||
−0.174819 | + | 0.984601i | \(0.555934\pi\) | |||||||
\(752\) | 4.28545 | − | 27.0573i | 0.156274 | − | 0.986677i | ||||
\(753\) | −1.98989 | − | 0.260124i | −0.0725156 | − | 0.00947945i | ||||
\(754\) | −5.21154 | − | 1.69333i | −0.189793 | − | 0.0616676i | ||||
\(755\) | −21.4950 | − | 34.1680i | −0.782285 | − | 1.24350i | ||||
\(756\) | −13.4200 | + | 1.09320i | −0.488079 | + | 0.0397594i | ||||
\(757\) | 12.4832 | + | 12.4832i | 0.453709 | + | 0.453709i | 0.896584 | − | 0.442874i | \(-0.146041\pi\) |
−0.442874 | + | 0.896584i | \(0.646041\pi\) | |||||||
\(758\) | 8.56405 | − | 16.8079i | 0.311060 | − | 0.610490i | ||||
\(759\) | 0.0353557 | − | 0.0125565i | 0.00128333 | − | 0.000455771i | ||||
\(760\) | 16.5125 | − | 7.06838i | 0.598972 | − | 0.256397i | ||||
\(761\) | 10.8817 | + | 14.9774i | 0.394461 | + | 0.542929i | 0.959343 | − | 0.282243i | \(-0.0910784\pi\) |
−0.564882 | + | 0.825171i | \(0.691078\pi\) | |||||||
\(762\) | 29.1061 | + | 13.8503i | 1.05440 | + | 0.501743i | ||||
\(763\) | −5.48730 | + | 0.869103i | −0.198654 | + | 0.0314636i | ||||
\(764\) | 8.85063 | − | 6.43036i | 0.320205 | − | 0.232642i | ||||
\(765\) | 2.47577 | − | 14.4514i | 0.0895115 | − | 0.522491i | ||||
\(766\) | −0.603173 | − | 0.438231i | −0.0217935 | − | 0.0158339i | ||||
\(767\) | −3.80940 | − | 1.94099i | −0.137549 | − | 0.0700850i | ||||
\(768\) | 22.1641 | − | 4.12882i | 0.799777 | − | 0.148986i | ||||
\(769\) | 33.2828 | − | 10.8142i | 1.20021 | − | 0.389971i | 0.360371 | − | 0.932809i | \(-0.382650\pi\) |
0.839838 | + | 0.542838i | \(0.182650\pi\) | |||||||
\(770\) | −0.00864000 | − | 0.0342104i | −0.000311364 | − | 0.00123286i | ||||
\(771\) | 2.45392 | + | 3.19197i | 0.0883759 | + | 0.114956i | ||||
\(772\) | −10.0837 | + | 5.13789i | −0.362919 | + | 0.184917i | ||||
\(773\) | 36.7332 | + | 5.81796i | 1.32120 | + | 0.209258i | 0.776895 | − | 0.629630i | \(-0.216793\pi\) |
0.544305 | + | 0.838887i | \(0.316793\pi\) | |||||||
\(774\) | 3.70773 | + | 9.60646i | 0.133272 | + | 0.345297i | ||||
\(775\) | 5.40999 | + | 0.726861i | 0.194333 | + | 0.0261096i | ||||
\(776\) | − | 29.7291i | − | 1.06721i | ||||||
\(777\) | 43.1702 | + | 40.8921i | 1.54872 | + | 1.46699i | ||||
\(778\) | −4.10051 | − | 8.04770i | −0.147010 | − | 0.288524i | ||||
\(779\) | 3.69862 | − | 11.3832i | 0.132517 | − | 0.407845i | ||||
\(780\) | 3.83374 | − | 1.07951i | 0.137270 | − | 0.0386528i | ||||
\(781\) | −0.00749319 | − | 0.0230617i | −0.000268127 | − | 0.000825211i | ||||
\(782\) | −12.7504 | + | 12.7504i | −0.455954 | + | 0.455954i | ||||
\(783\) | 10.7564 | + | 9.13599i | 0.384404 | + | 0.326494i | ||||
\(784\) | 16.4306 | − | 22.6148i | 0.586807 | − | 0.807671i | ||||
\(785\) | 11.2636 | − | 49.4727i | 0.402016 | − | 1.76576i | ||||
\(786\) | 14.0088 | − | 0.379644i | 0.499677 | − | 0.0135415i | ||||
\(787\) | −0.156837 | − | 0.990232i | −0.00559065 | − | 0.0352980i | 0.984735 | − | 0.174058i | \(-0.0556882\pi\) |
−0.990326 | + | 0.138761i | \(0.955688\pi\) | |||||||
\(788\) | −2.10426 | − | 13.2858i | −0.0749611 | − | 0.473286i | ||||
\(789\) | −18.1719 | + | 0.492466i | −0.646936 | + | 0.0175323i | ||||
\(790\) | −32.5235 | + | 2.94495i | −1.15714 | + | 0.104777i | ||||
\(791\) | −25.0713 | + | 34.5077i | −0.891433 | + | 1.22695i | ||||
\(792\) | −0.0284966 | − | 0.00294247i | −0.00101258 | − | 0.000104556i | ||||
\(793\) | −0.835223 | + | 0.835223i | −0.0296596 | + | 0.0296596i | ||||
\(794\) | −8.81029 | − | 27.1153i | −0.312666 | − | 0.962286i | ||||
\(795\) | −11.1427 | + | 14.1224i | −0.395191 | + | 0.500871i | ||||
\(796\) | −1.09309 | + | 3.36418i | −0.0387435 | + | 0.119240i | ||||
\(797\) | −17.6121 | − | 34.5658i | −0.623854 | − | 1.22438i | −0.959318 | − | 0.282329i | \(-0.908893\pi\) |
0.335464 | − | 0.942053i | \(-0.391107\pi\) | |||||||
\(798\) | −16.6912 | − | 15.8104i | −0.590864 | − | 0.559683i | ||||
\(799\) | 24.6211i | 0.871031i | ||||||||
\(800\) | 5.43057 | + | 15.4659i | 0.192000 | + | 0.546801i | ||||
\(801\) | 3.33071 | − | 1.28553i | 0.117685 | − | 0.0454219i | ||||
\(802\) | 25.7249 | + | 4.07443i | 0.908379 | + | 0.143873i | ||||
\(803\) | −0.00373037 | + | 0.00190072i | −0.000131642 | + | 6.70749e-5i | ||||
\(804\) | 2.97368 | + | 3.86806i | 0.104874 | + | 0.136416i | ||||
\(805\) | −24.9511 | + | 62.3000i | −0.879412 | + | 2.19579i | ||||
\(806\) | 2.09484 | − | 0.680654i | 0.0737875 | − | 0.0239750i | ||||
\(807\) | −41.2048 | + | 7.67582i | −1.45048 | + | 0.270202i | ||||
\(808\) | −12.3234 | − | 6.27911i | −0.433537 | − | 0.220898i | ||||
\(809\) | −10.4415 | − | 7.58623i | −0.367105 | − | 0.266717i | 0.388904 | − | 0.921278i | \(-0.372854\pi\) |
−0.756009 | + | 0.654561i | \(0.772854\pi\) | |||||||
\(810\) | 23.6317 | + | 2.74124i | 0.830334 | + | 0.0963173i | ||||
\(811\) | −18.7807 | + | 13.6450i | −0.659480 | + | 0.479140i | −0.866487 | − | 0.499199i | \(-0.833628\pi\) |
0.207008 | + | 0.978339i | \(0.433628\pi\) | |||||||
\(812\) | 6.95109 | − | 1.10094i | 0.243935 | − | 0.0386356i | ||||
\(813\) | −21.0778 | − | 10.0299i | −0.739230 | − | 0.351766i | ||||
\(814\) | 0.0172171 | + | 0.0236973i | 0.000603458 | + | 0.000830589i | ||||
\(815\) | 15.8253 | + | 18.0937i | 0.554337 | + | 0.633795i | ||||
\(816\) | 8.67546 | − | 3.08107i | 0.303702 | − | 0.107859i | ||||
\(817\) | 3.44167 | − | 6.75466i | 0.120409 | − | 0.236316i | ||||
\(818\) | 24.2455 | + | 24.2455i | 0.847725 | + | 0.847725i | ||||
\(819\) | −13.8885 | − | 17.0869i | −0.485304 | − | 0.597066i | ||||
\(820\) | 5.73357 | + | 2.29629i | 0.200225 | + | 0.0801900i | ||||
\(821\) | −22.1431 | − | 7.19472i | −0.772798 | − | 0.251097i | −0.104036 | − | 0.994574i | \(-0.533176\pi\) |
−0.668763 | + | 0.743476i | \(0.733176\pi\) | |||||||
\(822\) | 28.4911 | + | 3.72445i | 0.993743 | + | 0.129905i | ||||
\(823\) | 7.42895 | − | 46.9046i | 0.258957 | − | 1.63499i | −0.424805 | − | 0.905285i | \(-0.639657\pi\) |
0.683762 | − | 0.729705i | \(-0.260343\pi\) | |||||||
\(824\) | 20.3519 | 0.708991 | ||||||||
\(825\) | −0.00136006 | − | 0.0268461i | −4.73512e−5 | − | 0.000934663i | ||||
\(826\) | −12.7352 | −0.443114 | ||||||||
\(827\) | −5.74885 | + | 36.2968i | −0.199907 | + | 1.26216i | 0.659825 | + | 0.751419i | \(0.270630\pi\) |
−0.859732 | + | 0.510745i | \(0.829370\pi\) | |||||||
\(828\) | 9.39023 | + | 8.42398i | 0.326333 | + | 0.292753i | ||||
\(829\) | 39.2617 | + | 12.7569i | 1.36362 | + | 0.443066i | 0.897249 | − | 0.441525i | \(-0.145562\pi\) |
0.466368 | + | 0.884591i | \(0.345562\pi\) | |||||||
\(830\) | −0.969665 | + | 14.4992i | −0.0336576 | + | 0.503275i | ||||
\(831\) | 10.6858 | − | 36.1961i | 0.370687 | − | 1.25563i | ||||
\(832\) | 10.5468 | + | 10.5468i | 0.365643 | + | 0.365643i | ||||
\(833\) | −11.4058 | + | 22.3851i | −0.395186 | + | 0.775597i | ||||
\(834\) | −1.25166 | − | 3.52435i | −0.0433416 | − | 0.122038i | ||||
\(835\) | −0.551403 | − | 6.08960i | −0.0190821 | − | 0.210739i | ||||
\(836\) | 0.00287017 | + | 0.00395045i | 9.92668e−5 | + | 0.000136629i | ||||
\(837\) | −5.65646 | − | 0.429573i | −0.195516 | − | 0.0148482i | ||||
\(838\) | 41.1049 | − | 6.51038i | 1.41995 | − | 0.224897i | ||||
\(839\) | −22.7835 | + | 16.5532i | −0.786574 | + | 0.571479i | −0.906945 | − | 0.421250i | \(-0.861592\pi\) |
0.120371 | + | 0.992729i | \(0.461592\pi\) | |||||||
\(840\) | 37.6433 | − | 34.7682i | 1.29882 | − | 1.19962i | ||||
\(841\) | 17.4937 | + | 12.7099i | 0.603232 | + | 0.438273i | ||||
\(842\) | −0.434989 | − | 0.221638i | −0.0149907 | − | 0.00763814i | ||||
\(843\) | 2.32822 | + | 12.4982i | 0.0801881 | + | 0.430461i | ||||
\(844\) | 8.97890 | − | 2.91742i | 0.309066 | − | 0.100422i | ||||
\(845\) | −17.3224 | − | 14.4459i | −0.595909 | − | 0.496952i | ||||
\(846\) | −39.8911 | + | 2.16372i | −1.37148 | + | 0.0743903i | ||||
\(847\) | −42.1498 | + | 21.4764i | −1.44828 | + | 0.737938i | ||||
\(848\) | −11.1563 | − | 1.76699i | −0.383110 | − | 0.0606787i | ||||
\(849\) | 0.880668 | − | 1.28389i | 0.0302244 | − | 0.0440631i | ||||
\(850\) | 6.13418 | + | 11.3697i | 0.210401 | + | 0.389976i | ||||
\(851\) | − | 55.7118i | − | 1.90978i | ||||||
\(852\) | 5.60678 | − | 5.91914i | 0.192085 | − | 0.202786i | ||||
\(853\) | −10.0473 | − | 19.7189i | −0.344012 | − | 0.675162i | 0.652574 | − | 0.757725i | \(-0.273689\pi\) |
−0.996586 | + | 0.0825634i | \(0.973689\pi\) | |||||||
\(854\) | −1.08725 | + | 3.34622i | −0.0372050 | + | 0.114505i | ||||
\(855\) | −10.1157 | − | 14.2982i | −0.345949 | − | 0.488988i | ||||
\(856\) | 15.0439 | + | 46.3005i | 0.514191 | + | 1.58252i | ||||
\(857\) | −21.9669 | + | 21.9669i | −0.750373 | + | 0.750373i | −0.974549 | − | 0.224175i | \(-0.928031\pi\) |
0.224175 | + | 0.974549i | \(0.428031\pi\) | |||||||
\(858\) | −0.00518435 | − | 0.00952761i | −0.000176991 | − | 0.000325267i | ||||
\(859\) | 2.72068 | − | 3.74470i | 0.0928284 | − | 0.127767i | −0.760077 | − | 0.649834i | \(-0.774839\pi\) |
0.852905 | + | 0.522066i | \(0.174839\pi\) | |||||||
\(860\) | 3.35930 | + | 2.00462i | 0.114551 | + | 0.0683569i | ||||
\(861\) | −0.925039 | − | 34.1337i | −0.0315252 | − | 1.16327i | ||||
\(862\) | 4.02219 | + | 25.3951i | 0.136996 | + | 0.864961i | ||||
\(863\) | 3.26644 | + | 20.6235i | 0.111191 | + | 0.702031i | 0.978805 | + | 0.204793i | \(0.0656523\pi\) |
−0.867614 | + | 0.497238i | \(0.834348\pi\) | |||||||
\(864\) | −6.56199 | − | 15.7200i | −0.223244 | − | 0.534806i | ||||
\(865\) | −12.9820 | − | 30.3274i | −0.441402 | − | 1.03116i | ||||
\(866\) | −0.616231 | + | 0.848169i | −0.0209404 | + | 0.0288220i | ||||
\(867\) | 18.5958 | − | 10.1187i | 0.631548 | − | 0.343650i | ||||
\(868\) | −2.00033 | + | 2.00033i | −0.0678957 | + | 0.0678957i | ||||
\(869\) | −0.0118497 | − | 0.0364695i | −0.000401972 | − | 0.00123714i | ||||
\(870\) | −12.4251 | − | 0.493337i | −0.421252 | − | 0.0167257i | ||||
\(871\) | −2.46565 | + | 7.58850i | −0.0835454 | + | 0.257126i | ||||
\(872\) | −1.80439 | − | 3.54131i | −0.0611043 | − | 0.119924i | ||||
\(873\) | −28.3446 | + | 6.07900i | −0.959320 | + | 0.205743i | ||||
\(874\) | 21.5403i | 0.728613i | ||||||||
\(875\) | 37.6403 | + | 29.9171i | 1.27247 | + | 1.01138i | ||||
\(876\) | −1.16084 | − | 0.796264i | −0.0392212 | − | 0.0269033i | ||||
\(877\) | 31.9488 | + | 5.06019i | 1.07883 | + | 0.170871i | 0.670461 | − | 0.741945i | \(-0.266096\pi\) |
0.408373 | + | 0.912815i | \(0.366096\pi\) | |||||||
\(878\) | 22.4681 | − | 11.4481i | 0.758261 | − | 0.386353i | ||||
\(879\) | −30.4653 | + | 23.4211i | −1.02757 | + | 0.789974i | ||||
\(880\) | 0.0142866 | − | 0.00898766i | 0.000481601 | − | 0.000302974i | ||||
\(881\) | 7.71556 | − | 2.50694i | 0.259944 | − | 0.0844609i | −0.176146 | − | 0.984364i | \(-0.556363\pi\) |
0.436090 | + | 0.899903i | \(0.356363\pi\) | |||||||
\(882\) | −37.2707 | − | 16.5124i | −1.25497 | − | 0.556002i | ||||
\(883\) | 16.0746 | + | 8.19043i | 0.540954 | + | 0.275630i | 0.703044 | − | 0.711146i | \(-0.251824\pi\) |
−0.162090 | + | 0.986776i | \(0.551824\pi\) | |||||||
\(884\) | −1.81839 | − | 1.32114i | −0.0611592 | − | 0.0444348i | ||||
\(885\) | −9.51474 | − | 1.89670i | −0.319835 | − | 0.0637567i | ||||
\(886\) | −24.8040 | + | 18.0212i | −0.833308 | + | 0.605434i | ||||
\(887\) | 18.3124 | − | 2.90040i | 0.614871 | − | 0.0973860i | 0.158772 | − | 0.987315i | \(-0.449246\pi\) |
0.456099 | + | 0.889929i | \(0.349246\pi\) | |||||||
\(888\) | −18.2785 | + | 38.4121i | −0.613388 | + | 1.28902i | ||||
\(889\) | −39.7940 | − | 54.7717i | −1.33465 | − | 1.83698i | ||||
\(890\) | −1.61199 | + | 2.70134i | −0.0540340 | + | 0.0905492i | ||||
\(891\) | 0.00302155 | + | 0.0277712i | 0.000101226 | + | 0.000930371i | ||||
\(892\) | 2.98087 | − | 5.85029i | 0.0998070 | − | 0.195882i | ||||
\(893\) | 20.7972 | + | 20.7972i | 0.695952 | + | 0.695952i | ||||
\(894\) | 1.39084 | + | 0.410604i | 0.0465167 | + | 0.0137326i | ||||
\(895\) | −31.5439 | + | 7.96655i | −1.05440 | + | 0.266292i | ||||
\(896\) | 15.4373 | + | 5.01588i | 0.515723 | + | 0.167569i | ||||
\(897\) | −2.67412 | + | 20.4564i | −0.0892861 | + | 0.683018i | ||||
\(898\) | −5.79857 | + | 36.6108i | −0.193501 | + | 1.22172i | ||||
\(899\) | 2.96510 | 0.0988916 | ||||||||
\(900\) | 7.71011 | − | 4.71598i | 0.257004 | − | 0.157199i | ||||
\(901\) | 10.1518 | 0.338207 | ||||||||
\(902\) | 0.00263130 | − | 0.0166134i | 8.76128e−5 | − | 0.000553166i | ||||
\(903\) | 2.80337 | − | 21.4451i | 0.0932904 | − | 0.713650i | ||||
\(904\) | −29.0208 | − | 9.42943i | −0.965218 | − | 0.313618i | ||||
\(905\) | 4.06575 | − | 4.87535i | 0.135150 | − | 0.162062i | ||||
\(906\) | −35.4508 | − | 10.4658i | −1.17777 | − | 0.347702i | ||||
\(907\) | −30.2195 | − | 30.2195i | −1.00342 | − | 1.00342i | −0.999994 | − | 0.00342637i | \(-0.998909\pi\) |
−0.00342637 | − | 0.999994i | \(-0.501091\pi\) | |||||||
\(908\) | −0.566248 | + | 1.11133i | −0.0187916 | + | 0.0368806i | ||||
\(909\) | −3.46680 | + | 13.0335i | −0.114986 | + | 0.432294i | ||||
\(910\) | 18.9176 | + | 4.30703i | 0.627112 | + | 0.142777i | ||||
\(911\) | 17.2681 | + | 23.7675i | 0.572118 | + | 0.787453i | 0.992804 | − | 0.119753i | \(-0.0382104\pi\) |
−0.420685 | + | 0.907207i | \(0.638210\pi\) | |||||||
\(912\) | 4.72553 | − | 9.93063i | 0.156478 | − | 0.328836i | ||||
\(913\) | −0.0168533 | + | 0.00266930i | −0.000557764 | + | 8.83411e-5i | ||||
\(914\) | 18.7254 | − | 13.6048i | 0.619381 | − | 0.450007i | ||||
\(915\) | −1.31067 | + | 2.33810i | −0.0433295 | + | 0.0772953i | ||||
\(916\) | 7.29822 | + | 5.30247i | 0.241140 | + | 0.175198i | ||||
\(917\) | −26.2260 | − | 13.3628i | −0.866059 | − | 0.441279i | ||||
\(918\) | −7.04626 | − | 11.4280i | −0.232561 | − | 0.377181i | ||||
\(919\) | −4.27020 | + | 1.38747i | −0.140861 | + | 0.0457684i | −0.378599 | − | 0.925561i | \(-0.623594\pi\) |
0.237738 | + | 0.971329i | \(0.423594\pi\) | |||||||
\(920\) | −47.9036 | − | 3.20366i | −1.57933 | − | 0.105621i | ||||
\(921\) | −1.89661 | + | 1.45808i | −0.0624955 | + | 0.0480453i | ||||
\(922\) | −28.3010 | + | 14.4201i | −0.932043 | + | 0.474900i | ||||
\(923\) | 13.1692 | + | 2.08579i | 0.433469 | + | 0.0686547i | ||||
\(924\) | 0.0114879 | + | 0.00787996i | 0.000377924 | + | 0.000259232i | ||||
\(925\) | −38.2407 | − | 11.4380i | −1.25735 | − | 0.376078i | ||||
\(926\) | 43.3589i | 1.42486i | ||||||||
\(927\) | −4.16155 | − | 19.4041i | −0.136683 | − | 0.637314i | ||||
\(928\) | 4.04227 | + | 7.93340i | 0.132694 | + | 0.260427i | ||||
\(929\) | 9.54585 | − | 29.3791i | 0.313189 | − | 0.963897i | −0.663304 | − | 0.748350i | \(-0.730846\pi\) |
0.976493 | − | 0.215548i | \(-0.0691536\pi\) | |||||||
\(930\) | 4.15713 | − | 2.77522i | 0.136318 | − | 0.0910030i | ||||
\(931\) | 9.27412 | + | 28.5428i | 0.303947 | + | 0.935453i | ||||
\(932\) | 4.37786 | − | 4.37786i | 0.143402 | − | 0.143402i | ||||
\(933\) | 43.4024 | − | 23.6169i | 1.42093 | − | 0.773184i | ||||
\(934\) | −6.83444 | + | 9.40680i | −0.223630 | + | 0.307800i | ||||
\(935\) | −0.0114185 | + | 0.00998694i | −0.000373424 | + | 0.000326608i | ||||
\(936\) | 8.55529 | − | 13.2269i | 0.279638 | − | 0.432333i | ||||
\(937\) | −7.72215 | − | 48.7557i | −0.252272 | − | 1.59278i | −0.710337 | − | 0.703862i | \(-0.751457\pi\) |
0.458065 | − | 0.888918i | \(-0.348543\pi\) | |||||||
\(938\) | 3.71802 | + | 23.4747i | 0.121398 | + | 0.766475i | ||||
\(939\) | 0.187834 | + | 6.93105i | 0.00612975 | + | 0.226186i | ||||
\(940\) | −11.4241 | + | 9.99184i | −0.372612 | + | 0.325898i | ||||
\(941\) | 13.7834 | − | 18.9713i | 0.449327 | − | 0.618445i | −0.522926 | − | 0.852378i | \(-0.675160\pi\) |
0.972253 | + | 0.233933i | \(0.0751596\pi\) | |||||||
\(942\) | −22.2064 | − | 40.8102i | −0.723524 | − | 1.32967i | ||||
\(943\) | −22.6220 | + | 22.6220i | −0.736672 | + | 0.736672i | ||||
\(944\) | −1.88251 | − | 5.79377i | −0.0612705 | − | 0.188571i | ||||
\(945\) | −40.8464 | − | 28.7809i | −1.32873 | − | 0.936242i | ||||
\(946\) | 0.00329220 | − | 0.0101323i | 0.000107039 | − | 0.000329431i | ||||
\(947\) | −7.36786 | − | 14.4602i | −0.239423 | − | 0.469895i | 0.739761 | − | 0.672870i | \(-0.234939\pi\) |
−0.979184 | + | 0.202976i | \(0.934939\pi\) | |||||||
\(948\) | 8.86652 | − | 9.36048i | 0.287971 | − | 0.304014i | ||||
\(949\) | − | 2.30211i | − | 0.0747296i | ||||||
\(950\) | 14.7853 | + | 4.42236i | 0.479700 | + | 0.143480i | ||||
\(951\) | −3.13753 | + | 4.57408i | −0.101741 | + | 0.148325i | ||||
\(952\) | −28.5623 | − | 4.52383i | −0.925711 | − | 0.146618i | ||||
\(953\) | −36.9351 | + | 18.8194i | −1.19644 | + | 0.609619i | −0.934672 | − | 0.355511i | \(-0.884307\pi\) |
−0.261772 | + | 0.965130i | \(0.584307\pi\) | |||||||
\(954\) | 0.892153 | + | 16.4480i | 0.0288845 | + | 0.532525i | ||||
\(955\) | 40.5088 | + | 2.70911i | 1.31083 | + | 0.0876648i | ||||
\(956\) | 13.9702 | − | 4.53921i | 0.451830 | − | 0.146808i | ||||
\(957\) | −0.00267402 | − | 0.0143545i | −8.64389e−5 | − | 0.000464015i | ||||
\(958\) | 34.4838 | + | 17.5704i | 1.11412 | + | 0.567673i | ||||
\(959\) | −48.8245 | − | 35.4731i | −1.57663 | − | 1.14549i | ||||
\(960\) | 29.5243 | + | 16.5505i | 0.952893 | + | 0.534164i | ||||
\(961\) | 24.1153 | − | 17.5208i | 0.777913 | − | 0.565187i | ||||
\(962\) | −15.9080 | + | 2.51958i | −0.512894 | + | 0.0812344i | ||||
\(963\) | 41.0681 | − | 23.8109i | 1.32340 | − | 0.767295i | ||||
\(964\) | 7.57119 | + | 10.4209i | 0.243852 | + | 0.335633i | ||||
\(965\) | −40.9511 | − | 9.32347i | −1.31826 | − | 0.300133i | ||||
\(966\) | 20.5661 | + | 57.9087i | 0.661704 | + | 1.86318i | ||||
\(967\) | 20.6778 | − | 40.5825i | 0.664953 | − | 1.30504i | −0.274242 | − | 0.961661i | \(-0.588427\pi\) |
0.939195 | − | 0.343384i | \(-0.111573\pi\) | |||||||
\(968\) | −23.9301 | − | 23.9301i | −0.769142 | − | 0.769142i | ||||
\(969\) | −2.79861 | + | 9.47975i | −0.0899043 | + | 0.304533i | ||||
\(970\) | 16.3592 | − | 19.6167i | 0.525261 | − | 0.629855i | ||||
\(971\) | 8.54204 | + | 2.77548i | 0.274127 | + | 0.0890693i | 0.442855 | − | 0.896593i | \(-0.353966\pi\) |
−0.168728 | + | 0.985663i | \(0.553966\pi\) | |||||||
\(972\) | −7.71631 | + | 5.35535i | −0.247501 | + | 0.171773i | ||||
\(973\) | −1.22885 | + | 7.75862i | −0.0393950 | + | 0.248730i | ||||
\(974\) | 17.8159 | 0.570859 | ||||||||
\(975\) | 13.4923 | + | 6.03534i | 0.432099 | + | 0.193285i | ||||
\(976\) | −1.68305 | −0.0538731 | ||||||||
\(977\) | −2.08248 | + | 13.1483i | −0.0666244 | + | 0.420650i | 0.931722 | + | 0.363171i | \(0.118306\pi\) |
−0.998347 | + | 0.0574785i | \(0.981694\pi\) | |||||||
\(978\) | 21.8255 | + | 2.85309i | 0.697902 | + | 0.0912318i | ||||
\(979\) | −0.00351304 | − | 0.00114146i | −0.000112277 | − | 3.64811e-5i | ||||
\(980\) | −15.0153 | + | 3.79219i | −0.479647 | + | 0.121137i | ||||
\(981\) | −3.00744 | + | 2.44449i | −0.0960200 | + | 0.0780465i | ||||
\(982\) | 1.21414 | + | 1.21414i | 0.0387449 | + | 0.0387449i | ||||
\(983\) | 2.64518 | − | 5.19146i | 0.0843682 | − | 0.165582i | −0.844968 | − | 0.534817i | \(-0.820380\pi\) |
0.929336 | + | 0.369235i | \(0.120380\pi\) | |||||||
\(984\) | 23.0194 | − | 8.17528i | 0.733831 | − | 0.260618i | ||||
\(985\) | 25.5803 | − | 42.8670i | 0.815057 | − | 1.36586i | ||||
\(986\) | 4.12478 | + | 5.67728i | 0.131360 | + | 0.180801i | ||||
\(987\) | 75.7675 | + | 36.0543i | 2.41170 | + | 1.14762i | ||||
\(988\) | −2.65193 | + | 0.420025i | −0.0843693 | + | 0.0133628i | ||||
\(989\) | −16.3934 | + | 11.9105i | −0.521279 | + | 0.378731i | ||||
\(990\) | −0.0171843 | − | 0.0176226i | −0.000546153 | − | 0.000560082i | ||||
\(991\) | −20.5400 | − | 14.9231i | −0.652473 | − | 0.474049i | 0.211640 | − | 0.977348i | \(-0.432120\pi\) |
−0.864113 | + | 0.503298i | \(0.832120\pi\) | |||||||
\(992\) | −3.18892 | − | 1.62483i | −0.101248 | − | 0.0515886i | ||||
\(993\) | −24.3005 | + | 4.52681i | −0.771155 | + | 0.143654i | ||||
\(994\) | 37.7724 | − | 12.2730i | 1.19807 | − | 0.389276i | ||||
\(995\) | −11.1114 | + | 6.99015i | −0.352255 | + | 0.221603i | ||||
\(996\) | −3.49676 | − | 4.54845i | −0.110799 | − | 0.144123i | ||||
\(997\) | −53.7211 | + | 27.3723i | −1.70136 | + | 0.866888i | −0.715651 | + | 0.698458i | \(0.753870\pi\) |
−0.985714 | + | 0.168430i | \(0.946130\pi\) | |||||||
\(998\) | −15.8715 | − | 2.51380i | −0.502403 | − | 0.0795728i | ||||
\(999\) | 40.3608 | + | 9.57283i | 1.27696 | + | 0.302871i |
(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 | 75.2.l.a.2.6 | yes | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.2.3 | ✓ | 64 | |
5.2 | odd | 4 | 375.2.l.b.218.6 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.218.3 | 64 | |||
5.4 | even | 2 | 375.2.l.c.32.3 | 64 | |||
15.2 | even | 4 | 375.2.l.b.218.3 | 64 | |||
15.8 | even | 4 | 375.2.l.a.218.6 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.32.6 | 64 | |||
25.9 | even | 10 | 375.2.l.b.332.3 | 64 | |||
25.12 | odd | 20 | 375.2.l.c.293.6 | 64 | |||
25.13 | odd | 20 | inner | 75.2.l.a.38.3 | yes | 64 | |
25.16 | even | 5 | 375.2.l.a.332.6 | 64 | |||
75.38 | even | 20 | inner | 75.2.l.a.38.6 | yes | 64 | |
75.41 | odd | 10 | 375.2.l.a.332.3 | 64 | |||
75.59 | odd | 10 | 375.2.l.b.332.6 | 64 | |||
75.62 | even | 20 | 375.2.l.c.293.3 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.2.3 | ✓ | 64 | 3.2 | odd | 2 | inner | |
75.2.l.a.2.6 | yes | 64 | 1.1 | even | 1 | trivial | |
75.2.l.a.38.3 | yes | 64 | 25.13 | odd | 20 | inner | |
75.2.l.a.38.6 | yes | 64 | 75.38 | even | 20 | inner | |
375.2.l.a.218.3 | 64 | 5.3 | odd | 4 | |||
375.2.l.a.218.6 | 64 | 15.8 | even | 4 | |||
375.2.l.a.332.3 | 64 | 75.41 | odd | 10 | |||
375.2.l.a.332.6 | 64 | 25.16 | even | 5 | |||
375.2.l.b.218.3 | 64 | 15.2 | even | 4 | |||
375.2.l.b.218.6 | 64 | 5.2 | odd | 4 | |||
375.2.l.b.332.3 | 64 | 25.9 | even | 10 | |||
375.2.l.b.332.6 | 64 | 75.59 | odd | 10 | |||
375.2.l.c.32.3 | 64 | 5.4 | even | 2 | |||
375.2.l.c.32.6 | 64 | 15.14 | odd | 2 | |||
375.2.l.c.293.3 | 64 | 75.62 | even | 20 | |||
375.2.l.c.293.6 | 64 | 25.12 | odd | 20 |