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 | 2.3 | ||
Character | \(\chi\) | \(=\) | 75.2 |
Dual form | 75.2.l.a.38.3 |
$q$-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 | \(0.187252\pi\) |
−0.962667 | + | 0.270689i | \(0.912748\pi\) | |||||||
\(3\) | 1.52140 | + | 0.827854i | 0.878381 | + | 0.477962i | ||||
\(4\) | 0.573046 | + | 0.186194i | 0.286523 | + | 0.0930970i | ||||
\(5\) | −1.19069 | − | 1.89269i | −0.532491 | − | 0.846436i | ||||
\(6\) | −1.24794 | + | 1.62328i | −0.509471 | + | 0.662700i | ||||
\(7\) | −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 | ||||
\(9\) | 1.62932 | + | 2.51899i | 0.543105 | + | 0.839665i | ||||
\(10\) | 2.43007 | − | 1.04022i | 0.768457 | − | 0.328947i | ||||
\(11\) | −0.00182443 | − | 0.00251111i | −0.000550086 | − | 0.000757128i | 0.808742 | − | 0.588164i | \(-0.200149\pi\) |
−0.809292 | + | 0.587407i | \(0.800149\pi\) | |||||||
\(12\) | 0.717691 | + | 0.757674i | 0.207180 | + | 0.218722i | ||||
\(13\) | −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 | ||||
\(15\) | −0.244641 | − | 3.86525i | −0.0631660 | − | 0.998003i | ||||
\(16\) | −1.96743 | − | 1.42942i | −0.491857 | − | 0.357355i | ||||
\(17\) | −1.94745 | − | 0.992273i | −0.472325 | − | 0.240662i | 0.201591 | − | 0.979470i | \(-0.435389\pi\) |
−0.673916 | + | 0.738808i | \(0.735389\pi\) | |||||||
\(18\) | −3.24246 | + | 1.43654i | −0.764254 | + | 0.338596i | ||||
\(19\) | 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 | ||||
\(21\) | −2.10903 | − | 7.14393i | −0.460228 | − | 1.55893i | ||||
\(22\) | 0.00326933 | − | 0.00166581i | 0.000697024 | − | 0.000355151i | ||||
\(23\) | 6.89295 | + | 1.09174i | 1.43728 | + | 0.227643i | 0.825954 | − | 0.563738i | \(-0.190637\pi\) |
0.611324 | + | 0.791380i | \(0.290637\pi\) | |||||||
\(24\) | −4.39434 | + | 3.01424i | −0.896991 | + | 0.615279i | ||||
\(25\) | −2.16453 | + | 4.50719i | −0.432907 | + | 0.901439i | ||||
\(26\) | − | 2.01759i | − | 0.395682i | ||||||
\(27\) | 0.393482 | + | 5.18123i | 0.0757257 | + | 0.997129i | ||||
\(28\) | −1.17639 | − | 2.30880i | −0.222317 | − | 0.436322i | ||||
\(29\) | 0.839286 | − | 2.58306i | 0.155851 | − | 0.479661i | −0.842395 | − | 0.538861i | \(-0.818855\pi\) |
0.998246 | + | 0.0591995i | \(0.0188548\pi\) | |||||||
\(30\) | 4.55827 | + | 0.429153i | 0.832222 | + | 0.0783522i | ||||
\(31\) | −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 | ||||
\(33\) | −0.000696853 | − | 0.00533076i | −0.000121306 | − | 0.000927966i | ||||
\(34\) | 1.51871 | − | 2.09032i | 0.260456 | − | 0.358487i | ||||
\(35\) | −2.13474 | + | 9.37634i | −0.360837 | + | 1.58489i | ||||
\(36\) | 0.464652 | + | 1.74687i | 0.0774420 | + | 0.291145i | ||||
\(37\) | 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 | ||||
\(39\) | −2.78566 | − | 0.989321i | −0.446063 | − | 0.158418i | ||||
\(40\) | 6.85139 | − | 0.620381i | 1.08330 | − | 0.0980909i | ||||
\(41\) | −2.69451 | + | 3.70867i | −0.420811 | + | 0.579197i | −0.965814 | − | 0.259238i | \(-0.916529\pi\) |
0.545003 | + | 0.838434i | \(0.316529\pi\) | |||||||
\(42\) | 8.73120 | − | 1.14137i | 1.34725 | − | 0.176117i | ||||
\(43\) | 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 | ||||
\(45\) | 2.82766 | − | 6.08312i | 0.421523 | − | 0.906818i | ||||
\(46\) | −2.54940 | + | 7.84624i | −0.375888 | + | 1.15686i | ||||
\(47\) | −5.11410 | − | 10.0370i | −0.745968 | − | 1.46405i | −0.880956 | − | 0.473198i | \(-0.843100\pi\) |
0.134988 | − | 0.990847i | \(-0.456900\pi\) | |||||||
\(48\) | −1.80990 | − | 3.80347i | −0.261236 | − | 0.548983i | ||||
\(49\) | 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 | −0.714504 | − | 0.699632i | \(-0.753347\pi\) |
0.146039 | + | 0.989279i | \(0.453347\pi\) | |||||||
\(54\) | −6.12232 | − | 0.498729i | −0.833142 | − | 0.0678685i | ||||
\(55\) | −0.00258042 | + | 0.00644301i | −0.000347944 | + | 0.000868776i | ||||
\(56\) | 12.5833 | − | 4.08857i | 1.68152 | − | 0.546358i | ||||
\(57\) | 4.44580 | + | 0.828184i | 0.588861 | + | 0.109696i | ||||
\(58\) | 2.86074 | + | 1.45762i | 0.375634 | + | 0.191395i | ||||
\(59\) | −2.02661 | − | 1.47242i | −0.263843 | − | 0.191693i | 0.447997 | − | 0.894035i | \(-0.352138\pi\) |
−0.711839 | + | 0.702342i | \(0.752138\pi\) | |||||||
\(60\) | 0.579496 | − | 2.26052i | 0.0748126 | − | 0.291832i | ||||
\(61\) | 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 | ||||
\(63\) | 2.70545 | − | 12.6147i | 0.340855 | − | 1.58931i | ||||
\(64\) | −5.13677 | − | 7.07016i | −0.642096 | − | 0.883770i | ||||
\(65\) | 2.51248 | + | 2.87262i | 0.311634 | + | 0.356304i | ||||
\(66\) | 0.00635301 | 0.000172169i | 0.000782001 | 2.11926e-5i | ||||||
\(67\) | 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 | ||||
\(69\) | 9.58313 | + | 7.36732i | 1.15367 | + | 0.886921i | ||||
\(70\) | −10.5529 | − | 4.22645i | −1.26132 | − | 0.505157i | ||||
\(71\) | 7.42989 | + | 2.41412i | 0.881766 | + | 0.286503i | 0.714691 | − | 0.699441i | \(-0.246568\pi\) |
0.167076 | + | 0.985944i | \(0.446568\pi\) | |||||||
\(72\) | −9.18090 | + | 0.947990i | −1.08198 | + | 0.111722i | ||||
\(73\) | −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 | ||||||||
\(75\) | −7.02442 | + | 5.06533i | −0.811110 | + | 0.584894i | ||||
\(76\) | 1.57319 | 0.180457 | ||||||||
\(77\) | −0.00208815 | + | 0.0131841i | −0.000237967 | + | 0.00150247i | ||||
\(78\) | 1.67027 | − | 3.06956i | 0.189121 | − | 0.347559i | ||||
\(79\) | −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 | ||||
\(81\) | −3.69066 | + | 8.20847i | −0.410073 | + | 0.912053i | ||||
\(82\) | −3.83191 | − | 3.83191i | −0.423164 | − | 0.423164i | ||||
\(83\) | 2.49577 | − | 4.89822i | 0.273946 | − | 0.537650i | −0.712512 | − | 0.701660i | \(-0.752443\pi\) |
0.986459 | + | 0.164010i | \(0.0524428\pi\) | |||||||
\(84\) | 0.121586 | − | 4.48649i | 0.0132661 | − | 0.489516i | ||||
\(85\) | 0.440734 | + | 4.86739i | 0.0478043 | + | 0.527943i | ||||
\(86\) | 2.01750 | + | 2.77686i | 0.217553 | + | 0.299436i | ||||
\(87\) | 3.41528 | − | 3.23506i | 0.366157 | − | 0.346834i | ||||
\(88\) | 0.00943181 | − | 0.00149385i | 0.00100543 | − | 0.000159245i | ||||
\(89\) | 0.962780 | − | 0.699500i | 0.102054 | − | 0.0741469i | −0.535588 | − | 0.844480i | \(-0.679910\pi\) |
0.637642 | + | 0.770333i | \(0.279910\pi\) | |||||||
\(90\) | 6.57967 | + | 4.42649i | 0.693558 | + | 0.466593i | ||||
\(91\) | 5.93803 | + | 4.31423i | 0.622474 | + | 0.452254i | ||||
\(92\) | 3.74670 | + | 1.90904i | 0.390621 | + | 0.199031i | ||||
\(93\) | 0.346291 | − | 1.85894i | 0.0359087 | − | 0.192763i | ||||
\(94\) | 12.6648 | − | 4.11505i | 1.30628 | − | 0.424435i | ||||
\(95\) | −4.48372 | − | 3.73916i | −0.460020 | − | 0.383630i | ||||
\(96\) | −5.44585 | + | 1.60772i | −0.555815 | + | 0.164088i | ||||
\(97\) | 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 | \(0.0718014\pi\) | ||||
−0.974667 | + | 0.223663i | \(0.928199\pi\) | |||||||
\(102\) | 4.04104 | − | 1.92294i | 0.400122 | − | 0.190400i | ||||
\(103\) | 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 | ||||
\(105\) | −11.0100 | + | 12.4979i | −1.07447 | + | 1.21967i | ||||
\(106\) | −1.69673 | − | 5.22200i | −0.164801 | − | 0.507206i | ||||
\(107\) | 11.1892 | − | 11.1892i | 1.08170 | − | 1.08170i | 0.0853449 | − | 0.996351i | \(-0.472801\pi\) |
0.996351 | − | 0.0853449i | \(-0.0271992\pi\) | |||||||
\(108\) | −0.739231 | + | 3.04235i | −0.0711325 | + | 0.292750i | ||||
\(109\) | 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 | ||||
\(111\) | −4.62741 | + | 13.0295i | −0.439214 | + | 1.23671i | ||||
\(112\) | 1.63605 | + | 10.3296i | 0.154592 | + | 0.976056i | ||||
\(113\) | 1.55156 | + | 9.79616i | 0.145958 | + | 0.921545i | 0.946602 | + | 0.322404i | \(0.104491\pi\) |
−0.800644 | + | 0.599141i | \(0.795509\pi\) | |||||||
\(114\) | −1.78913 | + | 5.03772i | −0.167568 | + | 0.471826i | ||||
\(115\) | −6.14102 | − | 14.3461i | −0.572653 | − | 1.33778i | ||||
\(116\) | 0.961899 | − | 1.32394i | 0.0893101 | − | 0.122925i | ||||
\(117\) | −3.41910 | − | 3.81128i | −0.316096 | − | 0.352353i | ||||
\(118\) | 2.09396 | − | 2.09396i | 0.192765 | − | 0.192765i | ||||
\(119\) | 2.90462 | + | 8.93950i | 0.266266 | + | 0.819482i | ||||
\(120\) | 10.9373 | + | 4.72811i | 0.998434 | + | 0.431615i | ||||
\(121\) | 3.39918 | − | 10.4616i | 0.309017 | − | 0.951056i | ||||
\(122\) | 0.371426 | + | 0.728964i | 0.0336273 | + | 0.0659973i | ||||
\(123\) | −7.16966 | + | 3.41171i | −0.646466 | + | 0.307624i | ||||
\(124\) | − | 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 | ||||
\(129\) | 4.82326 | − | 1.42392i | 0.424664 | − | 0.125369i | ||||
\(130\) | −3.81867 | + | 2.40231i | −0.334919 | + | 0.210697i | ||||
\(131\) | −6.50932 | + | 2.11501i | −0.568722 | + | 0.184789i | −0.579242 | − | 0.815156i | \(-0.696651\pi\) |
0.0105201 | + | 0.999945i | \(0.496651\pi\) | |||||||
\(132\) | 0.000593227 | − | 0.00318452i | 5.16338e−5 | − | 0.000277177i | ||||
\(133\) | −10.0046 | − | 5.09761i | −0.867510 | − | 0.442018i | ||||
\(134\) | 4.47110 | + | 3.24845i | 0.386245 | + | 0.280623i | ||||
\(135\) | 9.33794 | − | 6.91396i | 0.803682 | − | 0.595059i | ||||
\(136\) | 5.44013 | − | 3.95249i | 0.466487 | − | 0.338923i | ||||
\(137\) | −13.8605 | + | 2.19528i | −1.18418 | + | 0.187556i | −0.717300 | − | 0.696764i | \(-0.754622\pi\) |
−0.466881 | + | 0.884320i | \(0.654622\pi\) | |||||||
\(138\) | −10.3742 | + | 9.82674i | −0.883110 | + | 0.836507i | ||||
\(139\) | −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 | ||||
\(141\) | 0.528567 | − | 19.5040i | 0.0445134 | − | 1.64253i | ||||
\(142\) | −4.19270 | + | 8.22863i | −0.351843 | + | 0.690531i | ||||
\(143\) | 0.00374589 | + | 0.00374589i | 0.000313247 | + | 0.000313247i | ||||
\(144\) | 0.395139 | − | 7.28492i | 0.0329283 | − | 0.607077i | ||||
\(145\) | −5.88824 | + | 1.48710i | −0.488992 | + | 0.123497i | ||||
\(146\) | −1.51649 | − | 0.492738i | −0.125506 | − | 0.0407793i | ||||
\(147\) | −9.51583 | + | 17.4879i | −0.784853 | + | 1.44237i | ||||
\(148\) | −0.752451 | + | 4.75079i | −0.0618511 | + | 0.390513i | ||||
\(149\) | −0.708260 | −0.0580229 | −0.0290114 | − | 0.999579i | \(-0.509236\pi\) | ||||
−0.0290114 | + | 0.999579i | \(0.509236\pi\) | |||||||
\(150\) | −4.61521 | − | 9.13836i | −0.376830 | − | 0.746144i | ||||
\(151\) | −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 | ||||
\(153\) | −0.673474 | − | 6.52233i | −0.0544472 | − | 0.527299i | ||||
\(154\) | −0.0150074 | − | 0.00487621i | −0.00120933 | − | 0.000392937i | ||||
\(155\) | −1.56347 | + | 1.87479i | −0.125581 | + | 0.150587i | ||||
\(156\) | −1.41211 | − | 1.08560i | −0.113059 | − | 0.0869176i | ||||
\(157\) | −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 | ||||
\(159\) | −8.04196 | − | 0.217940i | −0.637769 | − | 0.0172838i | ||||
\(160\) | 7.14763 | + | 1.62732i | 0.565070 | + | 0.128651i | ||||
\(161\) | −17.6411 | − | 24.2809i | −1.39031 | − | 1.91360i | ||||
\(162\) | −8.90162 | − | 5.82715i | −0.699377 | − | 0.457824i | ||||
\(163\) | 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 | ||||
\(165\) | −0.00925973 | + | 0.00766619i | −0.000720869 | + | 0.000596812i | ||||
\(166\) | 5.25758 | + | 3.81985i | 0.408067 | + | 0.296478i | ||||
\(167\) | 2.43645 | + | 1.24143i | 0.188538 | + | 0.0960651i | 0.545712 | − | 0.837973i | \(-0.316259\pi\) |
−0.357173 | + | 0.934038i | \(0.616259\pi\) | |||||||
\(168\) | 22.5290 | + | 4.19681i | 1.73815 | + | 0.323791i | ||||
\(169\) | −9.59341 | + | 3.11709i | −0.737954 | + | 0.239776i | ||||
\(170\) | −5.76462 | − | 0.385522i | −0.442126 | − | 0.0295682i | ||||
\(171\) | 6.07823 | + | 4.94047i | 0.464814 | + | 0.377808i | ||||
\(172\) | 1.55880 | − | 0.794247i | 0.118857 | − | 0.0605608i | ||||
\(173\) | 14.5716 | + | 2.30791i | 1.10786 | + | 0.175467i | 0.683445 | − | 0.730002i | \(-0.260481\pi\) |
0.424411 | + | 0.905470i | \(0.360481\pi\) | |||||||
\(174\) | 3.14564 | + | 4.58590i | 0.238470 | + | 0.347656i | ||||
\(175\) | 20.2883 | − | 7.12388i | 1.53365 | − | 0.538515i | ||||
\(176\) | 0.00754831i | 0.000568975i | ||||||||
\(177\) | −1.86434 | − | 3.91788i | −0.140132 | − | 0.294486i | ||||
\(178\) | 0.638684 | + | 1.25349i | 0.0478714 | + | 0.0939530i | ||||
\(179\) | 4.49613 | − | 13.8377i | 0.336057 | − | 1.03428i | −0.630142 | − | 0.776480i | \(-0.717003\pi\) |
0.966199 | − | 0.257797i | \(-0.0829965\pi\) | |||||||
\(180\) | 2.75302 | − | 2.95941i | 0.205198 | − | 0.220582i | ||||
\(181\) | −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 | ||||
\(183\) | 1.18860 | − | 0.155377i | 0.0878640 | − | 0.0114858i | ||||
\(184\) | −12.6203 | + | 17.3704i | −0.930383 | + | 1.28056i | ||||
\(185\) | 13.4362 | − | 11.7517i | 0.987853 | − | 0.864006i | ||||
\(186\) | 2.10644 | + | 0.748095i | 0.154451 | + | 0.0548530i | ||||
\(187\) | 0.00106127 | + | 0.00670058i | 7.76076e−5 | + | 0.000489995i | ||||
\(188\) | −1.06179 | − | 6.70387i | −0.0774389 | − | 0.488930i | ||||
\(189\) | 14.5592 | − | 16.9523i | 1.05903 | − | 1.23310i | ||||
\(190\) | 5.19497 | − | 4.54367i | 0.376883 | − | 0.329633i | ||||
\(191\) | −10.6722 | + | 14.6890i | −0.772210 | + | 1.06286i | 0.223889 | + | 0.974615i | \(0.428125\pi\) |
−0.996099 | + | 0.0882410i | \(0.971875\pi\) | |||||||
\(192\) | −1.96202 | − | 15.0090i | −0.141597 | − | 1.08318i | ||||
\(193\) | −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 | ||||
\(195\) | 1.44438 | + | 6.45036i | 0.103434 | + | 0.461920i | ||||
\(196\) | −2.14022 | + | 6.58693i | −0.152873 | + | 0.470495i | ||||
\(197\) | 10.1351 | + | 19.8914i | 0.722100 | + | 1.41720i | 0.901215 | + | 0.433372i | \(0.142676\pi\) |
−0.179116 | + | 0.983828i | \(0.557324\pi\) | |||||||
\(198\) | 0.00952293 | + | 0.00552130i | 0.000676765 | + | 0.000392382i | ||||
\(199\) | 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 | ||||
\(204\) | −0.645845 | − | 2.18768i | −0.0452182 | − | 0.153168i | ||||
\(205\) | 10.2277 | + | 0.683997i | 0.714331 | + | 0.0477724i | ||||
\(206\) | −7.43728 | + | 2.41652i | −0.518180 | + | 0.168367i | ||||
\(207\) | 8.48071 | + | 19.1421i | 0.589450 | + | 1.33047i | ||||
\(208\) | 3.69815 | + | 1.88430i | 0.256421 | + | 0.130653i | ||||
\(209\) | −0.00655636 | − | 0.00476347i | −0.000453513 | − | 0.000329496i | ||||
\(210\) | −12.5564 | − | 15.1664i | −0.866472 | − | 1.04658i | ||||
\(211\) | 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 | ||||
\(213\) | 9.30530 | + | 9.82371i | 0.637589 | + | 0.673109i | ||||
\(214\) | 10.9952 | + | 15.1335i | 0.751613 | + | 1.03451i | ||||
\(215\) | −6.33048 | − | 1.44128i | −0.431735 | − | 0.0982945i | ||||
\(216\) | −14.7526 | − | 6.15817i | −1.00379 | − | 0.419011i | ||||
\(217\) | −2.13148 | + | 4.18326i | −0.144694 | + | 0.283978i | ||||
\(218\) | 1.07987 | + | 1.07987i | 0.0731381 | + | 0.0731381i | ||||
\(219\) | −1.42393 | + | 1.85219i | −0.0962201 | + | 0.125159i | ||||
\(220\) | −0.00267835 | + | 0.00321169i | −0.000180575 | + | 0.000216532i | ||||
\(221\) | 3.54775 | + | 1.15273i | 0.238648 | + | 0.0775413i | ||||
\(222\) | −14.3574 | − | 7.81244i | −0.963607 | − | 0.524337i | ||||
\(223\) | 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 | ||||||||
\(225\) | −14.8803 | + | 1.89120i | −0.992020 | + | 0.126080i | ||||
\(226\) | −11.7248 | −0.779924 | ||||||||
\(227\) | 0.323824 | − | 2.04455i | 0.0214930 | − | 0.135701i | −0.974609 | − | 0.223916i | \(-0.928116\pi\) |
0.996102 | + | 0.0882143i | \(0.0281160\pi\) | |||||||
\(228\) | 2.39345 | + | 1.30237i | 0.158510 | + | 0.0862515i | ||||
\(229\) | 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 | ||||
\(231\) | −0.0140914 | + | 0.0183296i | −0.000927147 | + | 0.00120600i | ||||
\(232\) | 5.90853 | + | 5.90853i | 0.387914 | + | 0.387914i | ||||
\(233\) | −4.66488 | + | 9.15535i | −0.305607 | + | 0.599787i | −0.991825 | − | 0.127609i | \(-0.959270\pi\) |
0.686218 | + | 0.727396i | \(0.259270\pi\) | |||||||
\(234\) | 5.08229 | − | 3.28729i | 0.332240 | − | 0.214897i | ||||
\(235\) | −12.9076 | + | 21.6303i | −0.841999 | + | 1.41101i | ||||
\(236\) | −0.887187 | − | 1.22111i | −0.0577510 | − | 0.0794874i | ||||
\(237\) | −14.7153 | − | 15.5351i | −0.955863 | − | 1.00912i | ||||
\(238\) | −10.9748 | + | 1.73824i | −0.711391 | + | 0.112673i | ||||
\(239\) | −19.7230 | + | 14.3296i | −1.27577 | + | 0.926902i | −0.999417 | − | 0.0341532i | \(-0.989127\pi\) |
−0.276355 | + | 0.961056i | \(0.589127\pi\) | |||||||
\(240\) | −5.04376 | + | 7.95430i | −0.325573 | + | 0.513448i | ||||
\(241\) | 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 | ||||
\(243\) | −12.4104 | + | 9.43304i | −0.796127 | + | 0.605130i | ||||
\(244\) | 0.396593 | − | 0.128861i | 0.0253892 | − | 0.00824947i | ||||
\(245\) | 21.7556 | − | 13.6864i | 1.38992 | − | 0.874394i | ||||
\(246\) | −2.65761 | − | 9.00213i | −0.169443 | − | 0.573955i | ||||
\(247\) | −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 | \(-0.988358\pi\) | ||
0.999331 | − | 0.0365663i | \(-0.0116420\pi\) | |||||||
\(252\) | 3.89914 | − | 6.72509i | 0.245623 | − | 0.423641i | ||||
\(253\) | −0.00983421 | − | 0.0193007i | −0.000618272 | − | 0.00121343i | ||||
\(254\) | −5.75081 | + | 17.6992i | −0.360838 | + | 1.11054i | ||||
\(255\) | −3.35896 | + | 7.77012i | −0.210346 | + | 0.486584i | ||||
\(256\) | −4.02234 | − | 12.3795i | −0.251396 | − | 0.773718i | ||||
\(257\) | −1.64370 | + | 1.64370i | −0.102531 | + | 0.102531i | −0.756511 | − | 0.653980i | \(-0.773098\pi\) |
0.653980 | + | 0.756511i | \(0.273098\pi\) | |||||||
\(258\) | 0.770600 | + | 5.89491i | 0.0479754 | + | 0.367001i | ||||
\(259\) | 20.1792 | − | 27.7743i | 1.25387 | − | 1.72581i | ||||
\(260\) | 0.904902 | + | 2.11395i | 0.0561196 | + | 0.131102i | ||||
\(261\) | 7.87416 | − | 2.09446i | 0.487398 | − | 0.129644i | ||||
\(262\) | −1.26570 | − | 7.99133i | −0.0781954 | − | 0.493706i | ||||
\(263\) | −1.64184 | − | 10.3662i | −0.101240 | − | 0.639206i | −0.985169 | − | 0.171585i | \(-0.945111\pi\) |
0.883929 | − | 0.467621i | \(-0.154889\pi\) | |||||||
\(264\) | 0.0155862 | + | 0.00553541i | 0.000959267 | + | 0.000340681i | ||||
\(265\) | 8.91868 | + | 5.32210i | 0.547870 | + | 0.326934i | ||||
\(266\) | 7.80204 | − | 10.7386i | 0.478374 | − | 0.658425i | ||||
\(267\) | 2.04386 | − | 0.267179i | 0.125082 | − | 0.0163511i | ||||
\(268\) | 1.99184 | − | 1.99184i | 0.121671 | − | 0.121671i | ||||
\(269\) | −7.47786 | − | 23.0145i | −0.455933 | − | 1.40322i | −0.870036 | − | 0.492988i | \(-0.835905\pi\) |
0.414103 | − | 0.910230i | \(-0.364095\pi\) | |||||||
\(270\) | 6.34582 | + | 12.1815i | 0.386194 | + | 0.741340i | ||||
\(271\) | −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 | ||||
\(273\) | 5.46256 | + | 11.4795i | 0.330609 | + | 0.694770i | ||||
\(274\) | − | 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 | ||||
\(279\) | 2.06578 | − | 2.54151i | 0.123675 | − | 0.152156i | ||||
\(280\) | −22.7212 | − | 18.9481i | −1.35785 | − | 1.13237i | ||||
\(281\) | −6.98072 | + | 2.26817i | −0.416435 | + | 0.135308i | −0.509738 | − | 0.860330i | \(-0.670258\pi\) |
0.0933027 | + | 0.995638i | \(0.470258\pi\) | |||||||
\(282\) | 22.6749 | + | 4.22399i | 1.35027 | + | 0.251535i | ||||
\(283\) | −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 | ||||
\(285\) | −3.72606 | − | 9.40062i | −0.220713 | − | 0.556845i | ||||
\(286\) | −0.00506638 | + | 0.00368094i | −0.000299582 | + | 0.000217659i | ||||
\(287\) | 19.4716 | − | 3.08400i | 1.14937 | − | 0.182043i | ||||
\(288\) | −9.61628 | − | 2.06238i | −0.566645 | − | 0.121527i | ||||
\(289\) | −7.18441 | − | 9.88849i | −0.422612 | − | 0.581676i | ||||
\(290\) | −0.647425 | − | 7.15006i | −0.0380181 | − | 0.419866i | ||||
\(291\) | 16.7308 | + | 0.453411i | 0.980774 | + | 0.0265794i | ||||
\(292\) | −0.368972 | + | 0.724148i | −0.0215925 | + | 0.0423776i | ||||
\(293\) | −15.6880 | − | 15.6880i | −0.916503 | − | 0.916503i | 0.0802698 | − | 0.996773i | \(-0.474422\pi\) |
−0.996773 | + | 0.0802698i | \(0.974422\pi\) | |||||||
\(294\) | −18.6589 | − | 14.3446i | −1.08821 | − | 0.836593i | ||||
\(295\) | −0.373772 | + | 5.58894i | −0.0217619 | + | 0.325401i | ||||
\(296\) | −23.3580 | − | 7.58948i | −1.35766 | − | 0.441130i | ||||
\(297\) | 0.0122928 | − | 0.0104409i | 0.000713298 | − | 0.000605840i | ||||
\(298\) | 0.130977 | − | 0.826956i | 0.00758729 | − | 0.0479043i | ||||
\(299\) | −11.9110 | −0.688829 | ||||||||
\(300\) | −4.96845 | + | 1.59476i | −0.286854 | + | 0.0920736i | ||||
\(301\) | −12.4867 | −0.719722 | ||||||||
\(302\) | 3.33844 | − | 21.0781i | 0.192106 | − | 1.21291i | ||||
\(303\) | −3.72167 | + | 6.83955i | −0.213804 | + | 0.392922i | ||||
\(304\) | −6.03872 | − | 1.96210i | −0.346345 | − | 0.112534i | ||||
\(305\) | −1.43660 | − | 0.575358i | −0.0822595 | − | 0.0329449i | ||||
\(306\) | 7.73995 | + | 0.419820i | 0.442464 | + | 0.0239995i | ||||
\(307\) | 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 | ||||
\(309\) | −0.310395 | + | 11.4535i | −0.0176578 | + | 0.651567i | ||||
\(310\) | −1.89986 | − | 2.17219i | −0.107905 | − | 0.123372i | ||||
\(311\) | 16.7683 | + | 23.0796i | 0.950842 | + | 1.30872i | 0.951152 | + | 0.308722i | \(0.0999014\pi\) |
−0.000309728 | 1.00000i | \(0.500099\pi\) | ||||||||
\(312\) | 6.60281 | − | 6.25437i | 0.373810 | − | 0.354084i | ||||
\(313\) | 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 | ||||
\(315\) | −27.0971 | + | 9.89962i | −1.52675 | + | 0.557780i | ||||
\(316\) | −6.02222 | − | 4.37540i | −0.338776 | − | 0.246135i | ||||
\(317\) | −2.85337 | − | 1.45386i | −0.160261 | − | 0.0816571i | 0.372020 | − | 0.928225i | \(-0.378665\pi\) |
−0.532281 | + | 0.846567i | \(0.678665\pi\) | |||||||
\(318\) | 1.74165 | − | 9.34940i | 0.0976667 | − | 0.524288i | ||||
\(319\) | −0.00801755 | + | 0.00260506i | −0.000448897 | + | 0.000145855i | ||||
\(320\) | −7.26532 | + | 18.1406i | −0.406144 | + | 1.01409i | ||||
\(321\) | 26.2862 | − | 7.76019i | 1.46715 | − | 0.433132i | ||||
\(322\) | 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 | ||||||||
\(327\) | 2.02048 | − | 0.961454i | 0.111733 | − | 0.0531685i | ||||
\(328\) | −6.40286 | − | 12.5663i | −0.353539 | − | 0.693859i | ||||
\(329\) | −14.9702 | + | 46.0735i | −0.825333 | + | 2.54011i | ||||
\(330\) | −0.00723858 | − | 0.0122293i | −0.000398470 | − | 0.000673199i | ||||
\(331\) | 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 | ||||
\(333\) | −17.8267 | + | 15.9923i | −0.976897 | + | 0.876374i | ||||
\(334\) | −1.90005 | + | 2.61520i | −0.103966 | + | 0.143097i | ||||
\(335\) | −10.4112 | + | 0.942711i | −0.568822 | + | 0.0515058i | ||||
\(336\) | −6.06232 | + | 17.0699i | −0.330727 | + | 0.931238i | ||||
\(337\) | 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 | ||||
\(339\) | −5.74925 | + | 16.1883i | −0.312256 | + | 0.879230i | ||||
\(340\) | −0.653719 | + | 2.87130i | −0.0354529 | + | 0.155718i | ||||
\(341\) | −0.00199177 | + | 0.00274143i | −0.000107860 | + | 0.000148457i | ||||
\(342\) | −6.89248 | + | 6.18324i | −0.372703 | + | 0.334352i | ||||
\(343\) | 13.6677 | − | 13.6677i | 0.737988 | − | 0.737988i | ||||
\(344\) | 2.76042 | + | 8.49570i | 0.148832 | + | 0.458057i | ||||
\(345\) | 2.53353 | − | 26.9100i | 0.136401 | − | 1.44879i | ||||
\(346\) | −5.38938 | + | 16.5868i | −0.289735 | + | 0.891713i | ||||
\(347\) | −3.71168 | − | 7.28458i | −0.199253 | − | 0.391057i | 0.769661 | − | 0.638453i | \(-0.220425\pi\) |
−0.968915 | + | 0.247396i | \(0.920425\pi\) | |||||||
\(348\) | 2.55946 | − | 1.21793i | 0.137202 | − | 0.0652880i | ||||
\(349\) | − | 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 | 0.0301993 | − | 0.999544i | \(-0.490386\pi\) |
0.826399 | + | 0.563085i | \(0.190386\pi\) | |||||||
\(354\) | 4.91925 | − | 1.45226i | 0.261455 | − | 0.0771867i | ||||
\(355\) | −4.27750 | − | 16.9369i | −0.227026 | − | 0.898919i | ||||
\(356\) | 0.681960 | − | 0.221582i | 0.0361438 | − | 0.0117438i | ||||
\(357\) | −2.98151 | + | 16.0052i | −0.157798 | + | 0.847083i | ||||
\(358\) | 15.3253 | + | 7.80861i | 0.809965 | + | 0.412698i | ||||
\(359\) | −8.28139 | − | 6.01678i | −0.437075 | − | 0.317553i | 0.347397 | − | 0.937718i | \(-0.387066\pi\) |
−0.784472 | + | 0.620165i | \(0.787066\pi\) | |||||||
\(360\) | 12.7258 | + | 16.2478i | 0.670710 | + | 0.856335i | ||||
\(361\) | −9.85624 | + | 7.16098i | −0.518749 | + | 0.376894i | ||||
\(362\) | 3.31478 | − | 0.525009i | 0.174221 | − | 0.0275939i | ||||
\(363\) | 13.8322 | − | 13.1023i | 0.726002 | − | 0.687691i | ||||
\(364\) | 2.59948 | + | 3.57788i | 0.136250 | + | 0.187532i | ||||
\(365\) | 2.77276 | − | 1.18691i | 0.145133 | − | 0.0621259i | ||||
\(366\) | −0.0383886 | + | 1.41653i | −0.00200661 | + | 0.0740433i | ||||
\(367\) | −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 | ||||
\(369\) | −13.7323 | − | 0.744850i | −0.714876 | − | 0.0387753i | ||||
\(370\) | 11.2365 | + | 17.8613i | 0.584157 | + | 0.928562i | ||||
\(371\) | 18.9972 | + | 6.17256i | 0.986284 | + | 0.320463i | ||||
\(372\) | 0.544564 | − | 1.00078i | 0.0282343 | − | 0.0518880i | ||||
\(373\) | 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 | ||||||||
\(375\) | 17.9510 | + | 7.26382i | 0.926984 | + | 0.375102i | ||||
\(376\) | 34.6569 | 1.78729 | ||||||||
\(377\) | −0.725141 | + | 4.57836i | −0.0373466 | + | 0.235797i | ||||
\(378\) | 17.1010 | + | 20.1342i | 0.879579 | + | 1.03559i | ||||
\(379\) | 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 | ||||
\(381\) | 21.6172 | + | 16.6188i | 1.10748 | + | 0.851409i | ||||
\(382\) | −15.1771 | − | 15.1771i | −0.776528 | − | 0.776528i | ||||
\(383\) | −0.286326 | + | 0.561946i | −0.0146306 | + | 0.0287141i | −0.898206 | − | 0.439575i | \(-0.855129\pi\) |
0.883576 | + | 0.468289i | \(0.155129\pi\) | |||||||
\(384\) | 6.53497 | + | 0.177100i | 0.333486 | + | 0.00903762i | ||||
\(385\) | 0.0274397 | − | 0.0117459i | 0.00139846 | − | 0.000598626i | ||||
\(386\) | −13.0510 | − | 17.9631i | −0.664278 | − | 0.914300i | ||||
\(387\) | 8.51690 | + | 1.82660i | 0.432939 | + | 0.0928513i | ||||
\(388\) | 5.75066 | − | 0.910815i | 0.291945 | − | 0.0462396i | ||||
\(389\) | −6.18128 | + | 4.49096i | −0.313403 | + | 0.227701i | −0.733355 | − | 0.679845i | \(-0.762047\pi\) |
0.419952 | + | 0.907546i | \(0.362047\pi\) | |||||||
\(390\) | −7.79848 | + | 0.493585i | −0.394892 | + | 0.0249936i | ||||
\(391\) | −12.3403 | − | 8.96578i | −0.624078 | − | 0.453419i | ||||
\(392\) | −31.5095 | − | 16.0549i | −1.59147 | − | 0.810894i | ||||
\(393\) | −11.6542 | − | 2.17099i | −0.587876 | − | 0.109512i | ||||
\(394\) | −25.0992 | + | 8.15523i | −1.26448 | + | 0.410854i | ||||
\(395\) | 6.76440 | + | 26.7839i | 0.340354 | + | 1.34765i | ||||
\(396\) | 0.00353885 | − | 0.00435383i | 0.000177834 | − | 0.000218788i | ||||
\(397\) | 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 | \(-0.814580\pi\) | ||
0.835082 | − | 0.550126i | \(-0.185420\pi\) | |||||||
\(402\) | 4.11310 | + | 8.64361i | 0.205143 | + | 0.431104i | ||||
\(403\) | 0.845903 | + | 1.66018i | 0.0421374 | + | 0.0826994i | ||||
\(404\) | −0.837047 | + | 2.57617i | −0.0416447 | + | 0.128169i | ||||
\(405\) | 19.9305 | − | 2.78845i | 0.990354 | − | 0.138559i | ||||
\(406\) | −4.26680 | − | 13.1319i | −0.211758 | − | 0.651723i | ||||
\(407\) | 0.0175209 | − | 0.0175209i | 0.000868477 | − | 0.000868477i | ||||
\(408\) | 11.5487 | − | 1.50968i | 0.571746 | − | 0.0747403i | ||||
\(409\) | −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 | ||||
\(411\) | −22.9047 | − | 8.13455i | −1.12981 | − | 0.401248i | ||||
\(412\) | 0.623524 | + | 3.93677i | 0.0307188 | + | 0.193951i | ||||
\(413\) | 1.68526 | + | 10.6403i | 0.0829264 | + | 0.523577i | ||||
\(414\) | −23.9184 | + | 6.36208i | −1.17553 | + | 0.312679i | ||||
\(415\) | −12.2425 | + | 1.10853i | −0.600960 | + | 0.0544158i | ||||
\(416\) | 3.28876 | − | 4.52659i | 0.161245 | − | 0.221934i | ||||
\(417\) | −0.410086 | − | 3.13707i | −0.0200820 | − | 0.153623i | ||||
\(418\) | 0.00677424 | − | 0.00677424i | 0.000331339 | − | 0.000331339i | ||||
\(419\) | −10.8789 | − | 33.4819i | −0.531470 | − | 1.63570i | −0.751155 | − | 0.660126i | \(-0.770503\pi\) |
0.219685 | − | 0.975571i | \(-0.429497\pi\) | |||||||
\(420\) | −8.63630 | + | 5.11188i | −0.421408 | + | 0.249434i | ||||
\(421\) | 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 | ||||
\(423\) | 16.9506 | − | 29.2358i | 0.824168 | − | 1.42149i | ||||
\(424\) | − | 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 | ||||
\(429\) | 0.00259795 | + | 0.00880005i | 0.000125430 | + | 0.000424871i | ||||
\(430\) | 2.85351 | − | 7.12487i | 0.137608 | − | 0.343592i | ||||
\(431\) | 20.6855 | − | 6.72113i | 0.996386 | − | 0.323746i | 0.234966 | − | 0.972004i | \(-0.424502\pi\) |
0.761421 | + | 0.648258i | \(0.224502\pi\) | |||||||
\(432\) | 6.63202 | − | 10.7562i | 0.319083 | − | 0.517506i | ||||
\(433\) | −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 | ||||
\(435\) | −10.1895 | − | 2.61213i | −0.488548 | − | 0.125242i | ||||
\(436\) | 0.629734 | − | 0.457529i | 0.0301588 | − | 0.0219117i | ||||
\(437\) | 17.9971 | − | 2.85046i | 0.860917 | − | 0.136356i | ||||
\(438\) | −1.89927 | − | 2.00508i | −0.0907508 | − | 0.0958066i | ||||
\(439\) | 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 | ||||
\(441\) | −28.9548 | + | 18.7283i | −1.37880 | + | 0.891824i | ||||
\(442\) | −2.00200 | + | 3.92915i | −0.0952254 | + | 0.186890i | ||||
\(443\) | 18.3392 | + | 18.3392i | 0.871320 | + | 0.871320i | 0.992616 | − | 0.121296i | \(-0.0387051\pi\) |
−0.121296 | + | 0.992616i | \(0.538705\pi\) | |||||||
\(444\) | −5.07774 | + | 6.60493i | −0.240979 | + | 0.313456i | ||||
\(445\) | −2.47030 | − | 0.989356i | −0.117104 | − | 0.0469000i | ||||
\(446\) | 12.2515 | + | 3.98076i | 0.580126 | + | 0.188494i | ||||
\(447\) | −1.07755 | − | 0.586335i | −0.0509662 | − | 0.0277327i | ||||
\(448\) | −5.87931 | + | 37.1205i | −0.277771 | + | 1.75378i | ||||
\(449\) | 31.3558 | 1.47977 | 0.739887 | − | 0.672731i | \(-0.234879\pi\) | ||||
0.739887 | + | 0.672731i | \(0.234879\pi\) | |||||||
\(450\) | 0.543643 | − | 17.7238i | 0.0256276 | − | 0.835509i | ||||
\(451\) | 0.0142288 | 0.000670008 | ||||||||
\(452\) | −0.934871 | + | 5.90255i | −0.0439726 | + | 0.277632i | ||||
\(453\) | −27.4653 | − | 14.9450i | −1.29043 | − | 0.702175i | ||||
\(454\) | 2.32731 | + | 0.756188i | 0.109226 | + | 0.0354896i | ||||
\(455\) | 1.09516 | − | 16.3757i | 0.0513420 | − | 0.767706i | ||||
\(456\) | −8.47986 | + | 11.0303i | −0.397106 | + | 0.516540i | ||||
\(457\) | 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 | ||||
\(459\) | 4.37491 | − | 10.4806i | 0.204203 | − | 0.489193i | ||||
\(460\) | −0.847930 | − | 9.36440i | −0.0395349 | − | 0.436618i | ||||
\(461\) | 15.7932 | + | 21.7374i | 0.735561 | + | 1.01241i | 0.998862 | + | 0.0476987i | \(0.0151887\pi\) |
−0.263301 | + | 0.964714i | \(0.584811\pi\) | |||||||
\(462\) | −0.0187955 | − | 0.0198426i | −0.000874447 | − | 0.000923163i | ||||
\(463\) | −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 | ||||
\(465\) | −3.93071 | + | 1.55799i | −0.182282 | + | 0.0722500i | ||||
\(466\) | −9.82702 | − | 7.13975i | −0.455228 | − | 0.330742i | ||||
\(467\) | 8.76385 | + | 4.46541i | 0.405543 | + | 0.206634i | 0.644849 | − | 0.764310i | \(-0.276920\pi\) |
−0.239307 | + | 0.970944i | \(0.576920\pi\) | |||||||
\(468\) | −1.24966 | − | 2.82065i | −0.0577657 | − | 0.130385i | ||||
\(469\) | −19.1212 | + | 6.21286i | −0.882936 | + | 0.286883i | ||||
\(470\) | −22.8683 | − | 19.0708i | −1.05484 | − | 0.879671i | ||||
\(471\) | −11.1279 | − | 37.6938i | −0.512749 | − | 1.73684i | ||||
\(472\) | 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 | ||||||||
\(477\) | −12.0546 | − | 6.98914i | −0.551943 | − | 0.320011i | ||||
\(478\) | −13.0837 | − | 25.6782i | −0.598435 | − | 1.17450i | ||||
\(479\) | 10.1169 | − | 31.1365i | 0.462252 | − | 1.42266i | −0.400155 | − | 0.916448i | \(-0.631044\pi\) |
0.862406 | − | 0.506217i | \(-0.168956\pi\) | |||||||
\(480\) | 9.52722 | + | 8.39300i | 0.434856 | + | 0.383086i | ||||
\(481\) | −4.21025 | − | 12.9578i | −0.191971 | − | 0.590825i | ||||
\(482\) | −17.8697 | + | 17.8697i | −0.813943 | + | 0.813943i | ||||
\(483\) | −6.73814 | − | 51.5452i | −0.306596 | − | 2.34539i | ||||
\(484\) | 3.89578 | − | 5.36208i | 0.177081 | − | 0.243731i | ||||
\(485\) | −18.5547 | − | 11.0723i | −0.842526 | − | 0.502766i | ||||
\(486\) | −8.71889 | − | 16.2347i | −0.395497 | − | 0.736420i | ||||
\(487\) | 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 | ||||
\(489\) | 17.5460 | + | 6.23143i | 0.793459 | + | 0.281795i | ||||
\(490\) | 11.9569 | + | 27.9327i | 0.540158 | + | 1.26187i | ||||
\(491\) | 0.853756 | − | 1.17509i | 0.0385295 | − | 0.0530313i | −0.789318 | − | 0.613985i | \(-0.789565\pi\) |
0.827847 | + | 0.560954i | \(0.189565\pi\) | |||||||
\(492\) | −4.74378 | + | 0.620121i | −0.213866 | + | 0.0279572i | ||||
\(493\) | −4.19756 | + | 4.19756i | −0.189049 | + | 0.189049i | ||||
\(494\) | −1.62784 | − | 5.00998i | −0.0732401 | − | 0.225410i | ||||
\(495\) | −0.0204342 | + | 0.00399763i | −0.000918451 | + | 0.000179680i | ||||
\(496\) | −0.820419 | + | 2.52499i | −0.0368379 | + | 0.113375i | ||||
\(497\) | −15.2527 | − | 29.9350i | −0.684175 | − | 1.34277i | ||||
\(498\) | 4.83660 | + | 10.1640i | 0.216733 | + | 0.455461i | ||||
\(499\) | − | 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 | −0.984132 | − | 0.177439i | \(-0.943219\pi\) |
−0.434907 | + | 0.900476i | \(0.643219\pi\) | |||||||
\(504\) | 30.8013 | + | 25.0358i | 1.37200 | + | 1.11518i | ||||
\(505\) | 8.50870 | − | 5.35281i | 0.378632 | − | 0.238197i | ||||
\(506\) | 0.0243539 | − | 0.00791308i | 0.00108267 | − | 0.000351779i | ||||
\(507\) | −17.1759 | − | 3.19960i | −0.762809 | − | 0.142099i | ||||
\(508\) | 8.45163 | + | 4.30632i | 0.374981 | + | 0.191062i | ||||
\(509\) | 1.47222 | + | 1.06963i | 0.0652552 | + | 0.0474107i | 0.619935 | − | 0.784653i | \(-0.287159\pi\) |
−0.554679 | + | 0.832064i | \(0.687159\pi\) | |||||||
\(510\) | −8.45114 | − | 5.35880i | −0.374223 | − | 0.237292i | ||||
\(511\) | 4.69292 | − | 3.40961i | 0.207603 | − | 0.150832i | ||||
\(512\) | 22.6538 | − | 3.58800i | 1.00116 | − | 0.158569i | ||||
\(513\) | 5.15743 | + | 12.5483i | 0.227706 | + | 0.554022i | ||||
\(514\) | −1.61520 | − | 2.22313i | −0.0712433 | − | 0.0980580i | ||||
\(515\) | 7.57984 | − | 12.7022i | 0.334008 | − | 0.559724i | ||||
\(516\) | 3.02908 | + | 0.0820892i | 0.133348 | + | 0.00361378i | ||||
\(517\) | −0.0158737 | + | 0.0311538i | −0.000698123 | + | 0.00137014i | ||||
\(518\) | 28.6972 | + | 28.6972i | 1.26088 | + | 1.26088i | ||||
\(519\) | 20.2586 | + | 15.5744i | 0.889253 | + | 0.683640i | ||||
\(520\) | −11.3838 | + | 2.87503i | −0.499213 | + | 0.126079i | ||||
\(521\) | −39.2605 | − | 12.7565i | −1.72004 | − | 0.558873i | −0.728083 | − | 0.685489i | \(-0.759589\pi\) |
−0.991952 | + | 0.126615i | \(0.959589\pi\) | |||||||
\(522\) | 0.989314 | + | 9.58111i | 0.0433011 | + | 0.419354i | ||||
\(523\) | −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 | ||||||||
\(525\) | 36.7641 | + | 5.95747i | 1.60452 | + | 0.260005i | ||||
\(526\) | 12.4071 | 0.540974 | ||||||||
\(527\) | −0.373275 | + | 2.35676i | −0.0162601 | + | 0.102662i | ||||
\(528\) | −0.00624889 | + | 0.0114840i | −0.000271948 | + | 0.000499777i | ||||
\(529\) | 24.4465 | + | 7.94315i | 1.06289 | + | 0.345354i | ||||
\(530\) | −7.86334 | + | 9.42915i | −0.341562 | + | 0.409576i | ||||
\(531\) | 0.407026 | − | 7.50407i | 0.0176634 | − | 0.325649i | ||||
\(532\) | −4.78396 | − | 4.78396i | −0.207411 | − | 0.207411i | ||||
\(533\) | 3.55197 | − | 6.97114i | 0.153853 | − | 0.301953i | ||||
\(534\) | −0.0660111 | + | 2.43580i | −0.00285658 | + | 0.105407i | ||||
\(535\) | −34.5003 | − | 7.85480i | −1.49158 | − | 0.339593i | ||||
\(536\) | 8.45420 | + | 11.6362i | 0.365166 | + | 0.502608i | ||||
\(537\) | 18.2960 | − | 17.3305i | 0.789530 | − | 0.747866i | ||||
\(538\) | 28.2543 | − | 4.47505i | 1.21813 | − | 0.192933i | ||||
\(539\) | 0.0288641 | − | 0.0209710i | 0.00124327 | − | 0.000903286i | ||||
\(540\) | 6.63841 | − | 2.22335i | 0.285672 | − | 0.0956778i | ||||
\(541\) | 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 | ||||
\(543\) | 0.900521 | − | 4.83412i | 0.0386451 | − | 0.207452i | ||||
\(544\) | 6.81462 | − | 2.21420i | 0.292174 | − | 0.0949332i | ||||
\(545\) | −2.88226 | − | 0.192757i | −0.123462 | − | 0.00825680i | ||||
\(546\) | −14.4135 | + | 4.25515i | −0.616841 | + | 0.182104i | ||||
\(547\) | 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 | ||||||
\(552\) | −33.5807 | + | 15.9795i | −1.42929 | + | 0.680134i | ||||
\(553\) | 24.1204 | + | 47.3390i | 1.02570 | + | 2.01306i | ||||
\(554\) | 7.95976 | − | 24.4976i | 0.338178 | − | 1.04080i | ||||
\(555\) | 30.1706 | − | 6.75586i | 1.28067 | − | 0.286770i | ||||
\(556\) | −0.340101 | − | 1.04672i | −0.0144235 | − | 0.0443910i | ||||
\(557\) | −28.8164 | + | 28.8164i | −1.22099 | + | 1.22099i | −0.253709 | + | 0.967281i | \(0.581651\pi\) |
−0.967281 | + | 0.253709i | \(0.918349\pi\) | |||||||
\(558\) | 2.58542 | + | 2.88197i | 0.109449 | + | 0.122004i | ||||
\(559\) | −2.91277 | + | 4.00909i | −0.123197 | + | 0.169566i | ||||
\(560\) | 17.6027 | − | 15.3958i | 0.743850 | − | 0.650593i | ||||
\(561\) | −0.00393249 | + | 0.0110728i | −0.000166030 | + | 0.000467496i | ||||
\(562\) | −1.35737 | − | 8.57007i | −0.0572570 | − | 0.361507i | ||||
\(563\) | 2.25656 | + | 14.2474i | 0.0951028 | + | 0.600455i | 0.988504 | + | 0.151196i | \(0.0483123\pi\) |
−0.893401 | + | 0.449260i | \(0.851688\pi\) | |||||||
\(564\) | 3.93442 | − | 11.0783i | 0.165669 | − | 0.466480i | ||||
\(565\) | 16.6937 | − | 14.6008i | 0.702307 | − | 0.614259i | ||||
\(566\) | 0.624583 | − | 0.859665i | 0.0262532 | − | 0.0361344i | ||||
\(567\) | 36.1845 | − | 13.7384i | 1.51961 | − | 0.576958i | ||||
\(568\) | −16.9953 | + | 16.9953i | −0.713106 | + | 0.713106i | ||||
\(569\) | 8.95935 | + | 27.5741i | 0.375596 | + | 1.15596i | 0.943076 | + | 0.332578i | \(0.107918\pi\) |
−0.567480 | + | 0.823387i | \(0.692082\pi\) | |||||||
\(570\) | 11.6651 | − | 2.61207i | 0.488598 | − | 0.109408i | ||||
\(571\) | 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 | ||||
\(573\) | −28.3969 | + | 13.5128i | −1.18630 | + | 0.564505i | ||||
\(574\) | 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 | ||||
\(579\) | −31.2011 | + | 9.21117i | −1.29667 | + | 0.382803i | ||||
\(580\) | −3.65113 | − | 0.244177i | −0.151605 | − | 0.0101389i | ||||
\(581\) | −22.4847 | + | 7.30571i | −0.932821 | + | 0.303092i | ||||
\(582\) | −3.62338 | + | 19.4508i | −0.150194 | + | 0.806262i | ||||
\(583\) | 0.0128454 | + | 0.00654508i | 0.000532004 | + | 0.000271070i | ||||
\(584\) | −3.35728 | − | 2.43921i | −0.138925 | − | 0.100935i | ||||
\(585\) | −3.14249 | + | 11.0093i | −0.129926 | + | 0.455179i | ||||
\(586\) | 21.2183 | − | 15.4160i | 0.876520 | − | 0.636829i | ||||
\(587\) | −39.9923 | + | 6.33416i | −1.65066 | + | 0.261439i | −0.911261 | − | 0.411830i | \(-0.864890\pi\) |
−0.739398 | + | 0.673269i | \(0.764890\pi\) | |||||||
\(588\) | −8.70915 | + | 8.24956i | −0.359159 | + | 0.340206i | ||||
\(589\) | −1.67543 | − | 2.30604i | −0.0690351 | − | 0.0950186i | ||||
\(590\) | −6.45646 | − | 1.46996i | −0.265808 | − | 0.0605175i | ||||
\(591\) | −1.04752 | + | 38.6531i | −0.0430891 | + | 1.58998i | ||||
\(592\) | 8.81355 | − | 17.2976i | 0.362235 | − | 0.710926i | ||||
\(593\) | 15.8778 | + | 15.8778i | 0.652025 | + | 0.652025i | 0.953480 | − | 0.301455i | \(-0.0974724\pi\) |
−0.301455 | + | 0.953480i | \(0.597472\pi\) | |||||||
\(594\) | 0.00991736 | + | 0.0162837i | 0.000406914 | + | 0.000668129i | ||||
\(595\) | 13.4612 | − | 16.1417i | 0.551855 | − | 0.661744i | ||||
\(596\) | −0.405865 | − | 0.131874i | −0.0166249 | − | 0.00540176i | ||||
\(597\) | −4.86007 | + | 8.93167i | −0.198910 | + | 0.365549i | ||||
\(598\) | 2.20267 | − | 13.9071i | 0.0900740 | − | 0.568705i | ||||
\(599\) | 47.5909 | 1.94451 | 0.972256 | − | 0.233919i | \(-0.0751551\pi\) | ||||
0.972256 | + | 0.233919i | \(0.0751551\pi\) | |||||||
\(600\) | −4.07406 | − | 26.3306i | −0.166323 | − | 1.07494i | ||||
\(601\) | −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 | ||||
\(603\) | 13.9510 | − | 1.44053i | 0.568129 | − | 0.0586631i | ||||
\(604\) | −10.3450 | − | 3.36130i | −0.420932 | − | 0.136769i | ||||
\(605\) | −23.8479 | + | 6.02290i | −0.969556 | + | 0.244866i | ||||
\(606\) | −7.29755 | − | 5.61021i | −0.296443 | − | 0.227899i | ||||
\(607\) | 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 | ||||
\(609\) | −20.2232 | − | 0.548059i | −0.819487 | − | 0.0222085i | ||||
\(610\) | 0.937450 | − | 1.57096i | 0.0379562 | − | 0.0636063i | ||||
\(611\) | 11.3007 | + | 15.5540i | 0.457176 | + | 0.629248i | ||||
\(612\) | 0.828487 | − | 3.86299i | 0.0334896 | − | 0.156152i | ||||
\(613\) | 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 | ||||
\(615\) | 14.9941 | + | 9.50764i | 0.604621 | + | 0.383385i | ||||
\(616\) | −0.0332242 | − | 0.0241388i | −0.00133864 | − | 0.000972580i | ||||
\(617\) | 1.87440 | + | 0.955057i | 0.0754607 | + | 0.0384491i | 0.491314 | − | 0.870983i | \(-0.336517\pi\) |
−0.415853 | + | 0.909432i | \(0.636517\pi\) | |||||||
\(618\) | −13.3156 | − | 2.48049i | −0.535632 | − | 0.0997799i | ||||
\(619\) | −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 | ||||
\(621\) | −2.94428 | + | 36.1435i | −0.118150 | + | 1.45039i | ||||
\(622\) | −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 | ||||||||
\(627\) | −0.00603139 | − | 0.0126749i | −0.000240870 | − | 0.000506185i | ||||
\(628\) | −6.20704 | − | 12.1820i | −0.247688 | − | 0.486115i | ||||
\(629\) | 5.39175 | − | 16.5941i | 0.214983 | − | 0.661650i | ||||
\(630\) | −6.54768 | − | 33.4690i | −0.260866 | − | 1.33344i | ||||
\(631\) | 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 | ||||
\(633\) | 26.9101 | − | 3.51776i | 1.06958 | − | 0.139818i | ||||
\(634\) | 2.22518 | − | 3.06270i | 0.0883733 | − | 0.121635i | ||||
\(635\) | −13.8526 | − | 32.3613i | −0.549725 | − | 1.28422i | ||||
\(636\) | −4.56783 | − | 1.62225i | −0.181126 | − | 0.0643265i | ||||
\(637\) | −3.06894 | − | 19.3765i | −0.121596 | − | 0.767725i | ||||
\(638\) | −0.00155897 | − | 0.00984296i | −6.17203e−5 | − | 0.000389686i | ||||
\(639\) | 6.02449 | + | 22.6492i | 0.238325 | + | 0.895989i | ||||
\(640\) | −7.24740 | − | 4.32479i | −0.286479 | − | 0.170952i | ||||
\(641\) | 10.0831 | − | 13.8782i | 0.398260 | − | 0.548157i | −0.562047 | − | 0.827106i | \(-0.689986\pi\) |
0.960306 | + | 0.278948i | \(0.0899858\pi\) | |||||||
\(642\) | 4.19967 | + | 32.1265i | 0.165748 | + | 1.26793i | ||||
\(643\) | 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 | ||||
\(645\) | −8.43802 | − | 7.43348i | −0.332247 | − | 0.292693i | ||||
\(646\) | 2.08466 | − | 6.41591i | 0.0820197 | − | 0.252431i | ||||
\(647\) | −9.99983 | − | 19.6258i | −0.393134 | − | 0.771569i | 0.606591 | − | 0.795014i | \(-0.292537\pi\) |
−0.999725 | + | 0.0234450i | \(0.992537\pi\) | |||||||
\(648\) | −17.3466 | − | 21.5821i | −0.681438 | − | 0.847823i | ||||
\(649\) | 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 | 0.338328 | − | 0.941028i | \(-0.390139\pi\) |
0.960172 | + | 0.279409i | \(0.0901385\pi\) | |||||||
\(654\) | 0.748940 | + | 2.53689i | 0.0292859 | + | 0.0992003i | ||||
\(655\) | 11.7536 | + | 9.80180i | 0.459251 | + | 0.382988i | ||||
\(656\) | 10.6025 | − | 3.44496i | 0.413958 | − | 0.134503i | ||||
\(657\) | −3.69971 | + | 1.63912i | −0.144339 | + | 0.0639481i | ||||
\(658\) | −51.0265 | − | 25.9993i | −1.98922 | − | 1.01356i | ||||
\(659\) | 20.3792 | + | 14.8063i | 0.793859 | + | 0.576772i | 0.909106 | − | 0.416564i | \(-0.136766\pi\) |
−0.115247 | + | 0.993337i | \(0.536766\pi\) | |||||||
\(660\) | −0.00673365 | + | 0.00266897i | −0.000262107 | + | 0.000103890i | ||||
\(661\) | −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 | ||||
\(663\) | 4.44325 | + | 4.69079i | 0.172562 | + | 0.182175i | ||||
\(664\) | 9.94131 | + | 13.6830i | 0.385798 | + | 0.531005i | ||||
\(665\) | 2.26418 | + | 25.0053i | 0.0878011 | + | 0.969662i | ||||
\(666\) | −15.3758 | − | 23.7717i | −0.595801 | − | 0.921134i | ||||
\(667\) | 8.60516 | − | 16.8886i | 0.333193 | − | 0.653929i | ||||
\(668\) | 1.16505 | + | 1.16505i | 0.0450772 | + | 0.0450772i | ||||
\(669\) | 11.5037 | − | 14.9636i | 0.444759 | − | 0.578526i | ||||
\(670\) | 0.824615 | − | 12.3303i | 0.0318576 | − | 0.476361i | ||||
\(671\) | −0.00204300 | 0.000663812i | −7.88693e−5 | 2.56262e-5i | ||||||
\(672\) | 21.4495 | + | 11.6715i | 0.827431 | + | 0.450238i | ||||
\(673\) | 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 | ||||||||
\(675\) | −24.2045 | − | 9.44145i | −0.931633 | − | 0.363402i | ||||
\(676\) | −6.07785 | −0.233763 | ||||||||
\(677\) | −1.88685 | + | 11.9131i | −0.0725174 | + | 0.457857i | 0.924533 | + | 0.381103i | \(0.124456\pi\) |
−0.997050 | + | 0.0767541i | \(0.975544\pi\) | |||||||
\(678\) | −17.8381 | − | 9.70644i | −0.685070 | − | 0.372774i | ||||
\(679\) | −39.5224 | − | 12.8416i | −1.51673 | − | 0.492815i | ||||
\(680\) | −13.9583 | − | 5.59030i | −0.535277 | − | 0.214378i | ||||
\(681\) | 2.18525 | − | 2.84249i | 0.0837390 | − | 0.108925i | ||||
\(682\) | −0.00283253 | − | 0.00283253i | −0.000108463 | − | 0.000108463i | ||||
\(683\) | −1.18824 | + | 2.33206i | −0.0454669 | + | 0.0892338i | −0.912622 | − | 0.408804i | \(-0.865946\pi\) |
0.867155 | + | 0.498038i | \(0.165946\pi\) | |||||||
\(684\) | 2.56322 | + | 3.96285i | 0.0980072 | + | 0.151523i | ||||
\(685\) | 20.6585 | + | 23.6197i | 0.789320 | + | 0.902461i | ||||
\(686\) | 13.4307 | + | 18.4858i | 0.512788 | + | 0.705793i | ||||
\(687\) | 17.8332 | + | 18.8267i | 0.680380 | + | 0.718285i | ||||
\(688\) | −6.97408 | + | 1.10459i | −0.265884 | + | 0.0421120i | ||||
\(689\) | 6.41328 | − | 4.65952i | 0.244327 | − | 0.177514i | ||||
\(690\) | 30.9514 | + | 7.93454i | 1.17830 | + | 0.302063i | ||||
\(691\) | −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 | ||||
\(693\) | −0.0366129 | + | 0.0162210i | −0.00139081 | + | 0.000616185i | ||||
\(694\) | 9.19180 | − | 2.98660i | 0.348916 | − | 0.113370i | ||||
\(695\) | −1.51854 | + | 3.79161i | −0.0576014 | + | 0.143824i | ||||
\(696\) | 4.09784 | + | 13.8806i | 0.155328 | + | 0.526144i | ||||
\(697\) | 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 | \(-0.800150\pi\) | ||
0.809294 | − | 0.587404i | \(-0.199850\pi\) | |||||||
\(702\) | 10.4536 | − | 0.793885i | 0.394546 | − | 0.0299633i | ||||
\(703\) | 9.46252 | + | 18.5712i | 0.356886 | + | 0.700427i | ||||
\(704\) | −0.00838227 | + | 0.0257980i | −0.000315919 | + | 0.000972298i | ||||
\(705\) | −37.5443 | + | 22.2227i | −1.41400 | + | 0.836957i | ||||
\(706\) | 6.59836 | + | 20.3077i | 0.248333 | + | 0.764289i | ||||
\(707\) | 13.6707 | − | 13.6707i | 0.514140 | − | 0.514140i | ||||
\(708\) | −0.338867 | − | 2.59226i | −0.0127354 | − | 0.0974230i | ||||
\(709\) | 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 | ||||
\(711\) | −9.52708 | − | 35.8173i | −0.357294 | − | 1.34325i | ||||
\(712\) | 0.572755 | + | 3.61623i | 0.0214649 | + | 0.135524i | ||||
\(713\) | −1.19187 | − | 7.52517i | −0.0446359 | − | 0.281820i | ||||
\(714\) | −18.1361 | − | 6.44098i | −0.678726 | − | 0.241048i | ||||
\(715\) | 0.00262962 | − | 0.0115500i | 9.83423e−5 | − | 0.000431945i | ||||
\(716\) | 5.15298 | − | 7.09248i | 0.192576 | − | 0.265058i | ||||
\(717\) | −41.8693 | + | 5.47327i | −1.56364 | + | 0.204403i | ||||
\(718\) | 8.55659 | − | 8.55659i | 0.319329 | − | 0.319329i | ||||
\(719\) | −2.23139 | − | 6.86751i | −0.0832168 | − | 0.256115i | 0.900787 | − | 0.434260i | \(-0.142990\pi\) |
−0.984004 | + | 0.178145i | \(0.942990\pi\) | |||||||
\(720\) | −14.2586 | + | 7.92618i | −0.531385 | + | 0.295391i | ||||
\(721\) | 8.79107 | − | 27.0561i | 0.327397 | − | 1.00762i | ||||
\(722\) | −6.53839 | − | 12.8323i | −0.243334 | − | 0.477569i | ||||
\(723\) | 15.9101 | + | 33.4349i | 0.591705 | + | 1.24346i | ||||
\(724\) | − | 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 | ||||
\(729\) | −26.6903 | + | 4.07745i | −0.988531 | + | 0.151017i | ||||
\(730\) | 0.873066 | + | 3.45694i | 0.0323136 | + | 0.127947i | ||||
\(731\) | −6.03555 | + | 1.96107i | −0.223233 | + | 0.0725327i | ||||
\(732\) | 0.710054 | + | 0.132272i | 0.0262444 | + | 0.00488892i | ||||
\(733\) | 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 | ||||
\(735\) | 44.4294 | − | 2.81205i | 1.63880 | − | 0.103724i | ||||
\(736\) | −18.5094 | + | 13.4479i | −0.682267 | + | 0.495696i | ||||
\(737\) | −0.0143323 | + | 0.00227001i | −0.000527936 | + | 8.36168e-5i | ||||
\(738\) | 3.40917 | − | 15.8960i | 0.125493 | − | 0.585138i | ||||
\(739\) | −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 | ||||
\(741\) | −7.71544 | − | 0.209092i | −0.283434 | − | 0.00768118i | ||||
\(742\) | −10.7201 | + | 21.0394i | −0.393548 | + | 0.772381i | ||||
\(743\) | −9.22183 | − | 9.22183i | −0.338316 | − | 0.338316i | 0.517417 | − | 0.855733i | \(-0.326894\pi\) |
−0.855733 | + | 0.517417i | \(0.826894\pi\) | |||||||
\(744\) | 4.61213 | + | 3.54571i | 0.169089 | + | 0.129992i | ||||
\(745\) | 0.843315 | + | 1.34051i | 0.0308967 | + | 0.0491126i | ||||
\(746\) | 27.4157 | + | 8.90788i | 1.00376 | + | 0.326141i | ||||
\(747\) | 16.4050 | − | 1.69393i | 0.600227 | − | 0.0619775i | ||||
\(748\) | −0.000639453 | 0.00403734i | −2.33807e−5 | 0.000147620i | ||||||
\(749\) | −68.0510 | −2.48653 | ||||||||
\(750\) | −11.8008 | + | 19.6161i | −0.430904 | + | 0.716278i | ||||
\(751\) | −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 | ||||
\(753\) | 0.959183 | − | 1.76275i | 0.0349546 | − | 0.0642382i | ||||
\(754\) | −5.21154 | − | 1.69333i | −0.189793 | − | 0.0616676i | ||||
\(755\) | 21.4950 | + | 34.1680i | 0.782285 | + | 1.24350i | ||||
\(756\) | 11.4995 | − | 7.00364i | 0.418234 | − | 0.254720i | ||||
\(757\) | 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 | ||||
\(759\) | 0.00101641 | − | 0.0375054i | 3.68934e−5 | − | 0.00136136i | ||||
\(760\) | 16.5125 | − | 7.06838i | 0.598972 | − | 0.256397i | ||||
\(761\) | −10.8817 | − | 14.9774i | −0.394461 | − | 0.542929i | 0.564882 | − | 0.825171i | \(-0.308922\pi\) |
−0.959343 | + | 0.282243i | \(0.908922\pi\) | |||||||
\(762\) | −23.4016 | + | 22.1667i | −0.847751 | + | 0.803015i | ||||
\(763\) | −5.48730 | + | 0.869103i | −0.198654 | + | 0.0314636i | ||||
\(764\) | −8.85063 | + | 6.43036i | −0.320205 | + | 0.232642i | ||||
\(765\) | −11.5428 | + | 9.04073i | −0.417332 | + | 0.326868i | ||||
\(766\) | −0.603173 | − | 0.438231i | −0.0217935 | − | 0.0158339i | ||||
\(767\) | 3.80940 | + | 1.94099i | 0.137549 | + | 0.0700850i | ||||
\(768\) | 4.12882 | − | 22.1641i | 0.148986 | − | 0.799777i | ||||
\(769\) | 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 | ||||
\(771\) | −3.86146 | + | 1.13998i | −0.139067 | + | 0.0410554i | ||||
\(772\) | −10.0837 | + | 5.13789i | −0.362919 | + | 0.184917i | ||||
\(773\) | −36.7332 | − | 5.81796i | −1.32120 | − | 0.209258i | −0.544305 | − | 0.838887i | \(-0.683207\pi\) |
−0.776895 | + | 0.629630i | \(0.783207\pi\) | |||||||
\(774\) | −3.70773 | + | 9.60646i | −0.133272 | + | 0.345297i | ||||
\(775\) | 5.40999 | + | 0.726861i | 0.194333 | + | 0.0261096i | ||||
\(776\) | 29.7291i | 1.06721i | ||||||||
\(777\) | 53.6936 | − | 25.5503i | 1.92625 | − | 0.916614i | ||||
\(778\) | −4.10051 | − | 8.04770i | −0.147010 | − | 0.288524i | ||||
\(779\) | −3.69862 | + | 11.3832i | −0.132517 | + | 0.407845i | ||||
\(780\) | −0.373325 | + | 3.96529i | −0.0133672 | + | 0.141980i | ||||
\(781\) | −0.00749319 | − | 0.0230617i | −0.000268127 | − | 0.000825211i | ||||
\(782\) | 12.7504 | − | 12.7504i | 0.455954 | − | 0.455954i | ||||
\(783\) | 13.7137 | + | 3.33215i | 0.490086 | + | 0.119081i | ||||
\(784\) | 16.4306 | − | 22.6148i | 0.586807 | − | 0.807671i | ||||
\(785\) | −11.2636 | + | 49.4727i | −0.402016 | + | 1.76576i | ||||
\(786\) | 4.69002 | − | 13.2058i | 0.167287 | − | 0.471036i | ||||
\(787\) | −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 | ||||
\(789\) | 6.08379 | − | 17.1303i | 0.216589 | − | 0.609855i | ||||
\(790\) | −32.5235 | + | 2.94495i | −1.15714 | + | 0.104777i | ||||
\(791\) | 25.0713 | − | 34.5077i | 0.891433 | − | 1.22695i | ||||
\(792\) | 0.0191304 | + | 0.0213247i | 0.000679769 | + | 0.000757741i | ||||
\(793\) | −0.835223 | + | 0.835223i | −0.0296596 | + | 0.0296596i | ||||
\(794\) | 8.81029 | + | 27.1153i | 0.312666 | + | 0.962286i | ||||
\(795\) | 9.16295 | + | 15.4804i | 0.324976 | + | 0.549033i | ||||
\(796\) | −1.09309 | + | 3.36418i | −0.0387435 | + | 0.119240i | ||||
\(797\) | 17.6121 | + | 34.5658i | 0.623854 | + | 1.22438i | 0.959318 | + | 0.282329i | \(0.0911070\pi\) |
−0.335464 | + | 0.942053i | \(0.608893\pi\) | |||||||
\(798\) | 20.7600 | − | 9.87874i | 0.734897 | − | 0.349704i | ||||
\(799\) | 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 | ||||
\(804\) | 4.67935 | − | 1.38144i | 0.165028 | − | 0.0487195i | ||||
\(805\) | −24.9511 | + | 62.3000i | −0.879412 | + | 2.19579i | ||||
\(806\) | −2.09484 | + | 0.680654i | −0.0737875 | + | 0.0239750i | ||||
\(807\) | 7.67582 | − | 41.2048i | 0.270202 | − | 1.45048i | ||||
\(808\) | −12.3234 | − | 6.27911i | −0.433537 | − | 0.220898i | ||||
\(809\) | 10.4415 | + | 7.58623i | 0.367105 | + | 0.266717i | 0.756009 | − | 0.654561i | \(-0.227146\pi\) |
−0.388904 | + | 0.921278i | \(0.627146\pi\) | |||||||
\(810\) | −0.429943 | + | 23.7863i | −0.0151067 | + | 0.835765i | ||||
\(811\) | −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 | ||||
\(813\) | −16.9467 | + | 16.0524i | −0.594348 | + | 0.562983i | ||||
\(814\) | 0.0172171 | + | 0.0236973i | 0.000603458 | + | 0.000830589i | ||||
\(815\) | −15.8253 | − | 18.0937i | −0.554337 | − | 0.633795i | ||||
\(816\) | −0.249404 | + | 9.20296i | −0.00873089 | + | 0.322168i | ||||
\(817\) | 3.44167 | − | 6.75466i | 0.120409 | − | 0.236316i | ||||
\(818\) | −24.2455 | − | 24.2455i | −0.847725 | − | 0.847725i | ||||
\(819\) | −1.19260 | + | 21.9871i | −0.0416727 | + | 0.768291i | ||||
\(820\) | 5.73357 | + | 2.29629i | 0.200225 | + | 0.0801900i | ||||
\(821\) | 22.1431 | + | 7.19472i | 0.772798 | + | 0.251097i | 0.668763 | − | 0.743476i | \(-0.266824\pi\) |
0.104036 | + | 0.994574i | \(0.466824\pi\) | |||||||
\(822\) | 13.7335 | − | 25.2390i | 0.479012 | − | 0.880311i | ||||
\(823\) | 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 | ||||||||
\(825\) | 0.0255351 | + | 0.00839776i | 0.000889019 | + | 0.000292372i | ||||
\(826\) | −12.7352 | −0.443114 | ||||||||
\(827\) | 5.74885 | − | 36.2968i | 0.199907 | − | 1.26216i | −0.659825 | − | 0.751419i | \(-0.729370\pi\) |
0.859732 | − | 0.510745i | \(-0.170630\pi\) | |||||||
\(828\) | 1.29570 | + | 12.5483i | 0.0450287 | + | 0.436085i | ||||
\(829\) | 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 | ||||
\(831\) | −29.9206 | − | 23.0023i | −1.03793 | − | 0.797942i | ||||
\(832\) | 10.5468 | + | 10.5468i | 0.365643 | + | 0.365643i | ||||
\(833\) | 11.4058 | − | 22.3851i | 0.395186 | − | 0.775597i | ||||
\(834\) | 3.73864 | + | 0.101319i | 0.129459 | + | 0.00350838i | ||||
\(835\) | −0.551403 | − | 6.08960i | −0.0190821 | − | 0.210739i | ||||
\(836\) | −0.00287017 | − | 0.00395045i | −9.92668e−5 | − | 0.000136629i | ||||
\(837\) | 5.24687 | − | 2.15649i | 0.181358 | − | 0.0745392i | ||||
\(838\) | 41.1049 | − | 6.51038i | 1.41995 | − | 0.224897i | ||||
\(839\) | 22.7835 | − | 16.5532i | 0.786574 | − | 0.571479i | −0.120371 | − | 0.992729i | \(-0.538408\pi\) |
0.906945 | + | 0.421250i | \(0.138408\pi\) | |||||||
\(840\) | −18.8817 | − | 47.6375i | −0.651482 | − | 1.64365i | ||||
\(841\) | 17.4937 | + | 12.7099i | 0.603232 | + | 0.438273i | ||||
\(842\) | 0.434989 | + | 0.221638i | 0.0149907 | + | 0.00763814i | ||||
\(843\) | −12.4982 | − | 2.32822i | −0.430461 | − | 0.0801881i | ||||
\(844\) | 8.97890 | − | 2.91742i | 0.309066 | − | 0.100422i | ||||
\(845\) | 17.3224 | + | 14.4459i | 0.595909 | + | 0.496952i | ||||
\(846\) | 31.0008 | + | 25.1979i | 1.06583 | + | 0.866321i | ||||
\(847\) | −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 | ||||||||
\(852\) | 3.50325 | + | 7.36203i | 0.120019 | + | 0.252219i | ||||
\(853\) | −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 | ||||
\(855\) | 2.11351 | − | 17.3867i | 0.0722806 | − | 0.594614i | ||||
\(856\) | 15.0439 | + | 46.3005i | 0.514191 | + | 1.58252i | ||||
\(857\) | 21.9669 | − | 21.9669i | 0.750373 | − | 0.750373i | −0.224175 | − | 0.974549i | \(-0.571969\pi\) |
0.974549 | + | 0.224175i | \(0.0719688\pi\) | |||||||
\(858\) | −0.0107553 | + | 0.00140596i | −0.000367179 | + | 4.79987e-5i | ||||
\(859\) | 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 | ||||
\(861\) | 32.1773 | + | 11.4277i | 1.09660 | + | 0.389454i | ||||
\(862\) | 4.02219 | + | 25.3951i | 0.136996 | + | 0.864961i | ||||
\(863\) | −3.26644 | − | 20.6235i | −0.111191 | − | 0.702031i | −0.978805 | − | 0.204793i | \(-0.934348\pi\) |
0.867614 | − | 0.497238i | \(-0.165652\pi\) | |||||||
\(864\) | −12.9229 | − | 11.0986i | −0.439644 | − | 0.377581i | ||||
\(865\) | −12.9820 | − | 30.3274i | −0.441402 | − | 1.03116i | ||||
\(866\) | 0.616231 | − | 0.848169i | 0.0209404 | − | 0.0288220i | ||||
\(867\) | −2.74413 | − | 20.9920i | −0.0931957 | − | 0.712925i | ||||
\(868\) | −2.00033 | + | 2.00033i | −0.0678957 | + | 0.0678957i | ||||
\(869\) | 0.0118497 | + | 0.0364695i | 0.000401972 | + | 0.00123714i | ||||
\(870\) | 4.93421 | − | 11.4141i | 0.167285 | − | 0.386973i | ||||
\(871\) | −2.46565 | + | 7.58850i | −0.0835454 | + | 0.257126i | ||||
\(872\) | 1.80439 | + | 3.54131i | 0.0611043 | + | 0.119924i | ||||
\(873\) | 25.0788 | + | 14.5404i | 0.848789 | + | 0.492119i | ||||
\(874\) | 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 | ||||
\(879\) | −10.8804 | − | 36.8551i | −0.366985 | − | 1.24309i | ||||
\(880\) | 0.0142866 | − | 0.00898766i | 0.000481601 | − | 0.000302974i | ||||
\(881\) | −7.71556 | + | 2.50694i | −0.259944 | + | 0.0844609i | −0.436090 | − | 0.899903i | \(-0.643637\pi\) |
0.176146 | + | 0.984364i | \(0.443637\pi\) | |||||||
\(882\) | −16.5124 | − | 37.2707i | −0.556002 | − | 1.25497i | ||||
\(883\) | 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 | ||||
\(885\) | −5.19548 | + | 8.19358i | −0.174644 | + | 0.275424i | ||||
\(886\) | −24.8040 | + | 18.0212i | −0.833308 | + | 0.605434i | ||||
\(887\) | −18.3124 | + | 2.90040i | −0.614871 | + | 0.0973860i | −0.456099 | − | 0.889929i | \(-0.650754\pi\) |
−0.158772 | + | 0.987315i | \(0.550754\pi\) | |||||||
\(888\) | −29.2539 | − | 30.8837i | −0.981697 | − | 1.03639i | ||||
\(889\) | −39.7940 | − | 54.7717i | −1.33465 | − | 1.83698i | ||||
\(890\) | 1.61199 | − | 2.70134i | 0.0540340 | − | 0.0905492i | ||||
\(891\) | 0.0273457 | − | 0.00570811i | 0.000916116 | − | 0.000191229i | ||||
\(892\) | 2.98087 | − | 5.85029i | 0.0998070 | − | 0.195882i | ||||
\(893\) | −20.7972 | − | 20.7972i | −0.695952 | − | 0.695952i | ||||
\(894\) | 0.883867 | − | 1.14970i | 0.0295610 | − | 0.0384518i | ||||
\(895\) | −31.5439 | + | 7.96655i | −1.05440 | + | 0.266292i | ||||
\(896\) | −15.4373 | − | 5.01588i | −0.515723 | − | 0.167569i | ||||
\(897\) | −18.1214 | − | 9.86055i | −0.605054 | − | 0.329234i | ||||
\(898\) | −5.79857 | + | 36.6108i | −0.193501 | + | 1.22172i | ||||
\(899\) | −2.96510 | −0.0988916 | ||||||||
\(900\) | −8.87923 | − | 1.68688i | −0.295974 | − | 0.0562293i | ||||
\(901\) | 10.1518 | 0.338207 | ||||||||
\(902\) | −0.00263130 | + | 0.0166134i | −8.76128e−5 | + | 0.000553166i | ||||
\(903\) | −18.9973 | − | 10.3372i | −0.632190 | − | 0.343999i | ||||
\(904\) | −29.0208 | − | 9.42943i | −0.965218 | − | 0.313618i | ||||
\(905\) | −4.06575 | + | 4.87535i | −0.135150 | + | 0.162062i | ||||
\(906\) | 22.5287 | − | 29.3045i | 0.748465 | − | 0.973575i | ||||
\(907\) | −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 | ||||
\(909\) | −11.3243 | + | 7.32469i | −0.375603 | + | 0.242945i | ||||
\(910\) | 18.9176 | + | 4.30703i | 0.627112 | + | 0.142777i | ||||
\(911\) | −17.2681 | − | 23.7675i | −0.572118 | − | 0.787453i | 0.420685 | − | 0.907207i | \(-0.361790\pi\) |
−0.992804 | + | 0.119753i | \(0.961790\pi\) | |||||||
\(912\) | −7.56298 | − | 7.98432i | −0.250435 | − | 0.264387i | ||||
\(913\) | −0.0168533 | + | 0.00266930i | −0.000557764 | + | 8.83411e-5i | ||||
\(914\) | −18.7254 | + | 13.6048i | −0.619381 | + | 0.450007i | ||||
\(915\) | −1.70933 | − | 2.06465i | −0.0565088 | − | 0.0682551i | ||||
\(916\) | 7.29822 | + | 5.30247i | 0.241140 | + | 0.175198i | ||||
\(917\) | 26.2260 | + | 13.3628i | 0.866059 | + | 0.441279i | ||||
\(918\) | 11.4280 | + | 7.04626i | 0.377181 | + | 0.232561i | ||||
\(919\) | −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 | ||||
\(921\) | 0.677356 | + | 2.29441i | 0.0223196 | + | 0.0756034i | ||||
\(922\) | −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 | ||||||
\(927\) | −9.95407 | + | 17.1684i | −0.326934 | + | 0.563884i | ||||
\(928\) | 4.04227 | + | 7.93340i | 0.132694 | + | 0.260427i | ||||
\(929\) | −9.54585 | + | 29.3791i | −0.313189 | + | 0.963897i | 0.663304 | + | 0.748350i | \(0.269154\pi\) |
−0.976493 | + | 0.215548i | \(0.930846\pi\) | |||||||
\(930\) | −1.09219 | − | 4.87757i | −0.0358144 | − | 0.159942i | ||||
\(931\) | 9.27412 | + | 28.5428i | 0.303947 | + | 0.935453i | ||||
\(932\) | −4.37786 | + | 4.37786i | −0.143402 | + | 0.143402i | ||||
\(933\) | 6.40476 | + | 48.9950i | 0.209683 | + | 1.60402i | ||||
\(934\) | −6.83444 | + | 9.40680i | −0.223630 | + | 0.307800i | ||||
\(935\) | 0.0114185 | − | 0.00998694i | 0.000373424 | − | 0.000326608i | ||||
\(936\) | 15.2232 | − | 4.04924i | 0.497586 | − | 0.132354i | ||||
\(937\) | −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 | ||||
\(939\) | 6.53378 | + | 2.32045i | 0.213222 | + | 0.0757252i | ||||
\(940\) | −11.4241 | + | 9.99184i | −0.372612 | + | 0.325898i | ||||
\(941\) | −13.7834 | + | 18.9713i | −0.449327 | + | 0.618445i | −0.972253 | − | 0.233933i | \(-0.924840\pi\) |
0.522926 | + | 0.852378i | \(0.324840\pi\) | |||||||
\(942\) | 46.0687 | − | 6.02224i | 1.50100 | − | 0.196215i | ||||
\(943\) | −22.6220 | + | 22.6220i | −0.736672 | + | 0.736672i | ||||
\(944\) | 1.88251 | + | 5.79377i | 0.0612705 | + | 0.188571i | ||||
\(945\) | −49.4210 | − | 7.37117i | −1.60766 | − | 0.239784i | ||||
\(946\) | 0.00329220 | − | 0.0101323i | 0.000107039 | − | 0.000329431i | ||||
\(947\) | 7.36786 | + | 14.4602i | 0.239423 | + | 0.469895i | 0.979184 | − | 0.202976i | \(-0.0650612\pi\) |
−0.739761 | + | 0.672870i | \(0.765061\pi\) | |||||||
\(948\) | −5.54002 | − | 11.6423i | −0.179931 | − | 0.378123i | ||||
\(949\) | − | 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 | 0.261772 | − | 0.965130i | \(-0.415693\pi\) |
0.934672 | + | 0.355511i | \(0.115693\pi\) | |||||||
\(954\) | 10.3897 | − | 12.7823i | 0.336378 | − | 0.413844i | ||||
\(955\) | 40.5088 | + | 2.70911i | 1.31083 | + | 0.0876648i | ||||
\(956\) | −13.9702 | + | 4.53921i | −0.451830 | + | 0.146808i | ||||
\(957\) | −0.0143545 | − | 0.00267402i | −0.000464015 | − | 8.64389e-5i | ||||
\(958\) | 34.4838 | + | 17.5704i | 1.11412 | + | 0.567673i | ||||
\(959\) | 48.8245 | + | 35.4731i | 1.57663 | + | 1.14549i | ||||
\(960\) | −26.0713 | + | 21.5845i | −0.841446 | + | 0.696638i | ||||
\(961\) | 24.1153 | − | 17.5208i | 0.777913 | − | 0.565187i | ||||
\(962\) | 15.9080 | − | 2.51958i | 0.512894 | − | 0.0812344i | ||||
\(963\) | 46.4161 | + | 9.95474i | 1.49574 | + | 0.320787i | ||||
\(964\) | 7.57119 | + | 10.4209i | 0.243852 | + | 0.335633i | ||||
\(965\) | 40.9511 | + | 9.32347i | 1.31826 | + | 0.300133i | ||||
\(966\) | 61.4297 | + | 1.66477i | 1.97647 | + | 0.0535632i | ||||
\(967\) | 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 | ||||
\(969\) | −7.83618 | − | 6.02430i | −0.251734 | − | 0.193528i | ||||
\(970\) | 16.3592 | − | 19.6167i | 0.525261 | − | 0.629855i | ||||
\(971\) | −8.54204 | − | 2.77548i | −0.274127 | − | 0.0890693i | 0.168728 | − | 0.985663i | \(-0.446034\pi\) |
−0.442855 | + | 0.896593i | \(0.646034\pi\) | |||||||
\(972\) | −8.86810 | + | 3.09483i | −0.284444 | + | 0.0992667i | ||||
\(973\) | −1.22885 | + | 7.75862i | −0.0393950 | + | 0.248730i | ||||
\(974\) | −17.8159 | −0.570859 | ||||||||
\(975\) | 10.4887 | − | 10.4141i | 0.335908 | − | 0.333518i | ||||
\(976\) | −1.68305 | −0.0538731 | ||||||||
\(977\) | 2.08248 | − | 13.1483i | 0.0666244 | − | 0.420650i | −0.931722 | − | 0.363171i | \(-0.881694\pi\) |
0.998347 | − | 0.0574785i | \(-0.0183061\pi\) | |||||||
\(978\) | −10.5205 | + | 19.3342i | −0.336409 | + | 0.618240i | ||||
\(979\) | −0.00351304 | − | 0.00114146i | −0.000112277 | − | 3.64811e-5i | ||||
\(980\) | 15.0153 | − | 3.79219i | 0.479647 | − | 0.121137i | ||||
\(981\) | 3.86990 | + | 0.209906i | 0.123556 | + | 0.00670179i | ||||
\(982\) | 1.21414 | + | 1.21414i | 0.0387449 | + | 0.0387449i | ||||
\(983\) | −2.64518 | + | 5.19146i | −0.0843682 | + | 0.165582i | −0.929336 | − | 0.369235i | \(-0.879620\pi\) |
0.844968 | + | 0.534817i | \(0.179620\pi\) | |||||||
\(984\) | 0.661766 | − | 24.4190i | 0.0210963 | − | 0.778451i | ||||
\(985\) | 25.5803 | − | 42.8670i | 0.815057 | − | 1.36586i | ||||
\(986\) | −4.12478 | − | 5.67728i | −0.131360 | − | 0.180801i | ||||
\(987\) | −60.9178 | + | 57.7031i | −1.93903 | + | 1.83671i | ||||
\(988\) | −2.65193 | + | 0.420025i | −0.0843693 | + | 0.0133628i | ||||
\(989\) | 16.3934 | − | 11.9105i | 0.521279 | − | 0.378731i | ||||
\(990\) | −0.000888729 | − | 0.0245981i | −2.82457e−5 | − | 0.000781778i | ||||
\(991\) | −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 | ||||
\(993\) | −4.52681 | + | 24.3005i | −0.143654 | + | 0.771155i | ||||
\(994\) | 37.7724 | − | 12.2730i | 1.19807 | − | 0.389276i | ||||
\(995\) | 11.1114 | − | 6.99015i | 0.352255 | − | 0.221603i | ||||
\(996\) | 5.50245 | − | 1.62443i | 0.174352 | − | 0.0514721i | ||||
\(997\) | −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.2.3 | ✓ | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.2.6 | yes | 64 | |
5.2 | odd | 4 | 375.2.l.b.218.3 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.218.6 | 64 | |||
5.4 | even | 2 | 375.2.l.c.32.6 | 64 | |||
15.2 | even | 4 | 375.2.l.b.218.6 | 64 | |||
15.8 | even | 4 | 375.2.l.a.218.3 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.32.3 | 64 | |||
25.9 | even | 10 | 375.2.l.b.332.6 | 64 | |||
25.12 | odd | 20 | 375.2.l.c.293.3 | 64 | |||
25.13 | odd | 20 | inner | 75.2.l.a.38.6 | yes | 64 | |
25.16 | even | 5 | 375.2.l.a.332.3 | 64 | |||
75.38 | even | 20 | inner | 75.2.l.a.38.3 | yes | 64 | |
75.41 | odd | 10 | 375.2.l.a.332.6 | 64 | |||
75.59 | odd | 10 | 375.2.l.b.332.3 | 64 | |||
75.62 | even | 20 | 375.2.l.c.293.6 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.2.3 | ✓ | 64 | 1.1 | even | 1 | trivial | |
75.2.l.a.2.6 | yes | 64 | 3.2 | odd | 2 | inner | |
75.2.l.a.38.3 | yes | 64 | 75.38 | even | 20 | inner | |
75.2.l.a.38.6 | yes | 64 | 25.13 | odd | 20 | inner | |
375.2.l.a.218.3 | 64 | 15.8 | even | 4 | |||
375.2.l.a.218.6 | 64 | 5.3 | odd | 4 | |||
375.2.l.a.332.3 | 64 | 25.16 | even | 5 | |||
375.2.l.a.332.6 | 64 | 75.41 | odd | 10 | |||
375.2.l.b.218.3 | 64 | 5.2 | odd | 4 | |||
375.2.l.b.218.6 | 64 | 15.2 | even | 4 | |||
375.2.l.b.332.3 | 64 | 75.59 | odd | 10 | |||
375.2.l.b.332.6 | 64 | 25.9 | even | 10 | |||
375.2.l.c.32.3 | 64 | 15.14 | odd | 2 | |||
375.2.l.c.32.6 | 64 | 5.4 | even | 2 | |||
375.2.l.c.293.3 | 64 | 25.12 | odd | 20 | |||
375.2.l.c.293.6 | 64 | 75.62 | even | 20 |