Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(16,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.l (of order \(3\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 18 x^{18} - 4 x^{17} + 211 x^{16} - 59 x^{15} + 1458 x^{14} - 526 x^{13} + 7324 x^{12} - 2645 x^{11} + 23428 x^{10} - 8506 x^{9} + 54235 x^{8} - 18801 x^{7} + 74141 x^{6} + \cdots + 1369 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Root | \(-1.35774 - 2.35168i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.16 |
Dual form | 273.2.l.c.256.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.71549 | −1.92014 | −0.960070 | − | 0.279760i | \(-0.909745\pi\) | ||||
−0.960070 | + | 0.279760i | \(0.909745\pi\) | |||||||
\(3\) | −0.500000 | + | 0.866025i | −0.288675 | + | 0.500000i | ||||
\(4\) | 5.37387 | 2.68694 | ||||||||
\(5\) | 1.94413 | − | 3.36734i | 0.869442 | − | 1.50592i | 0.00687463 | − | 0.999976i | \(-0.497812\pi\) |
0.862568 | − | 0.505942i | \(-0.168855\pi\) | |||||||
\(6\) | 1.35774 | − | 2.35168i | 0.554297 | − | 0.960070i | ||||
\(7\) | 1.94064 | − | 1.79830i | 0.733495 | − | 0.679695i | ||||
\(8\) | −9.16172 | −3.23916 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | −5.27927 | + | 9.14396i | −1.66945 | + | 2.89157i | ||||
\(11\) | 0.815825 | − | 1.41305i | 0.245980 | − | 0.426051i | −0.716426 | − | 0.697663i | \(-0.754223\pi\) |
0.962407 | + | 0.271612i | \(0.0875568\pi\) | |||||||
\(12\) | −2.68694 | + | 4.65391i | −0.775652 | + | 1.34347i | ||||
\(13\) | −3.59984 | + | 0.202826i | −0.998417 | + | 0.0562537i | ||||
\(14\) | −5.26980 | + | 4.88327i | −1.40841 | + | 1.30511i | ||||
\(15\) | 1.94413 | + | 3.36734i | 0.501973 | + | 0.869442i | ||||
\(16\) | 14.1308 | 3.53269 | ||||||||
\(17\) | −4.19163 | −1.01662 | −0.508310 | − | 0.861174i | \(-0.669730\pi\) | ||||
−0.508310 | + | 0.861174i | \(0.669730\pi\) | |||||||
\(18\) | 1.35774 | + | 2.35168i | 0.320023 | + | 0.554297i | ||||
\(19\) | −0.847266 | − | 1.46751i | −0.194376 | − | 0.336669i | 0.752320 | − | 0.658798i | \(-0.228935\pi\) |
−0.946696 | + | 0.322129i | \(0.895602\pi\) | |||||||
\(20\) | 10.4475 | − | 18.0956i | 2.33614 | − | 4.04631i | ||||
\(21\) | 0.587055 | + | 2.57980i | 0.128106 | + | 0.562958i | ||||
\(22\) | −2.21536 | + | 3.83712i | −0.472317 | + | 0.818077i | ||||
\(23\) | 0.791415 | 0.165021 | 0.0825107 | − | 0.996590i | \(-0.473706\pi\) | ||||
0.0825107 | + | 0.996590i | \(0.473706\pi\) | |||||||
\(24\) | 4.58086 | − | 7.93428i | 0.935064 | − | 1.61958i | ||||
\(25\) | −5.05930 | − | 8.76296i | −1.01186 | − | 1.75259i | ||||
\(26\) | 9.77533 | − | 0.550770i | 1.91710 | − | 0.108015i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 10.4288 | − | 9.66386i | 1.97085 | − | 1.82630i | ||||
\(29\) | −0.242434 | − | 0.419908i | −0.0450188 | − | 0.0779749i | 0.842638 | − | 0.538481i | \(-0.181001\pi\) |
−0.887657 | + | 0.460506i | \(0.847668\pi\) | |||||||
\(30\) | −5.27927 | − | 9.14396i | −0.963858 | − | 1.66945i | ||||
\(31\) | −0.915382 | − | 1.58549i | −0.164407 | − | 0.284762i | 0.772037 | − | 0.635577i | \(-0.219238\pi\) |
−0.936445 | + | 0.350815i | \(0.885905\pi\) | |||||||
\(32\) | −20.0485 | −3.54411 | ||||||||
\(33\) | 0.815825 | + | 1.41305i | 0.142017 | + | 0.245980i | ||||
\(34\) | 11.3823 | 1.95205 | ||||||||
\(35\) | −2.28262 | − | 10.0309i | −0.385834 | − | 1.69554i | ||||
\(36\) | −2.68694 | − | 4.65391i | −0.447823 | − | 0.775652i | ||||
\(37\) | 0.689242 | 0.113311 | 0.0566553 | − | 0.998394i | \(-0.481956\pi\) | ||||
0.0566553 | + | 0.998394i | \(0.481956\pi\) | |||||||
\(38\) | 2.30074 | + | 3.98500i | 0.373229 | + | 0.646452i | ||||
\(39\) | 1.62427 | − | 3.21897i | 0.260091 | − | 0.515447i | ||||
\(40\) | −17.8116 | + | 30.8506i | −2.81626 | + | 4.87790i | ||||
\(41\) | 2.96941 | + | 5.14316i | 0.463743 | + | 0.803227i | 0.999144 | − | 0.0413712i | \(-0.0131726\pi\) |
−0.535400 | + | 0.844598i | \(0.679839\pi\) | |||||||
\(42\) | −1.59414 | − | 7.00542i | −0.245981 | − | 1.08096i | ||||
\(43\) | 2.79224 | − | 4.83630i | 0.425813 | − | 0.737529i | −0.570683 | − | 0.821170i | \(-0.693322\pi\) |
0.996496 | + | 0.0836411i | \(0.0266549\pi\) | |||||||
\(44\) | 4.38414 | − | 7.59355i | 0.660934 | − | 1.14477i | ||||
\(45\) | −3.88826 | −0.579628 | ||||||||
\(46\) | −2.14908 | −0.316864 | ||||||||
\(47\) | −0.292223 | + | 0.506146i | −0.0426252 | + | 0.0738289i | −0.886551 | − | 0.462631i | \(-0.846905\pi\) |
0.843926 | + | 0.536460i | \(0.180239\pi\) | |||||||
\(48\) | −7.06539 | + | 12.2376i | −1.01980 | + | 1.76635i | ||||
\(49\) | 0.532204 | − | 6.97974i | 0.0760292 | − | 0.997106i | ||||
\(50\) | 13.7385 | + | 23.7957i | 1.94291 | + | 3.36522i | ||||
\(51\) | 2.09582 | − | 3.63006i | 0.293473 | − | 0.508310i | ||||
\(52\) | −19.3451 | + | 1.08996i | −2.68268 | + | 0.151150i | ||||
\(53\) | 3.04896 | + | 5.28096i | 0.418807 | + | 0.725396i | 0.995820 | − | 0.0913397i | \(-0.0291149\pi\) |
−0.577012 | + | 0.816735i | \(0.695782\pi\) | |||||||
\(54\) | −2.71549 | −0.369531 | ||||||||
\(55\) | −3.17214 | − | 5.49431i | −0.427731 | − | 0.740853i | ||||
\(56\) | −17.7796 | + | 16.4756i | −2.37590 | + | 2.20164i | ||||
\(57\) | 1.69453 | 0.224446 | ||||||||
\(58\) | 0.658326 | + | 1.14025i | 0.0864425 | + | 0.149723i | ||||
\(59\) | 8.27708 | 1.07758 | 0.538792 | − | 0.842439i | \(-0.318881\pi\) | ||||
0.538792 | + | 0.842439i | \(0.318881\pi\) | |||||||
\(60\) | 10.4475 | + | 18.0956i | 1.34877 | + | 2.33614i | ||||
\(61\) | 4.54246 | + | 7.86777i | 0.581602 | + | 1.00736i | 0.995290 | + | 0.0969455i | \(0.0309072\pi\) |
−0.413688 | + | 0.910419i | \(0.635759\pi\) | |||||||
\(62\) | 2.48571 | + | 4.30537i | 0.315685 | + | 0.546783i | ||||
\(63\) | −2.52770 | − | 0.781496i | −0.318460 | − | 0.0984592i | ||||
\(64\) | 26.1800 | 3.27250 | ||||||||
\(65\) | −6.31559 | + | 12.5162i | −0.783352 | + | 1.55244i | ||||
\(66\) | −2.21536 | − | 3.83712i | −0.272692 | − | 0.472317i | ||||
\(67\) | −0.500271 | + | 0.866495i | −0.0611178 | + | 0.105859i | −0.894965 | − | 0.446136i | \(-0.852800\pi\) |
0.833847 | + | 0.551995i | \(0.186133\pi\) | |||||||
\(68\) | −22.5253 | −2.73159 | ||||||||
\(69\) | −0.395707 | + | 0.685385i | −0.0476376 | + | 0.0825107i | ||||
\(70\) | 6.19844 | + | 27.2389i | 0.740855 | + | 3.25567i | ||||
\(71\) | 7.93720 | − | 13.7476i | 0.941972 | − | 1.63154i | 0.180270 | − | 0.983617i | \(-0.442303\pi\) |
0.761703 | − | 0.647927i | \(-0.224364\pi\) | |||||||
\(72\) | 4.58086 | + | 7.93428i | 0.539859 | + | 0.935064i | ||||
\(73\) | −2.92626 | − | 5.06843i | −0.342492 | − | 0.593214i | 0.642402 | − | 0.766367i | \(-0.277938\pi\) |
−0.984895 | + | 0.173153i | \(0.944604\pi\) | |||||||
\(74\) | −1.87163 | −0.217572 | ||||||||
\(75\) | 10.1186 | 1.16839 | ||||||||
\(76\) | −4.55310 | − | 7.88620i | −0.522276 | − | 0.904609i | ||||
\(77\) | −0.957867 | − | 4.20933i | −0.109159 | − | 0.479698i | ||||
\(78\) | −4.41068 | + | 8.74107i | −0.499411 | + | 0.989731i | ||||
\(79\) | 0.643065 | − | 1.11382i | 0.0723505 | − | 0.125315i | −0.827581 | − | 0.561347i | \(-0.810283\pi\) |
0.899931 | + | 0.436032i | \(0.143617\pi\) | |||||||
\(80\) | 27.4721 | − | 47.5831i | 3.07147 | − | 5.31995i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −8.06339 | − | 13.9662i | −0.890452 | − | 1.54231i | ||||
\(83\) | −6.18202 | −0.678565 | −0.339283 | − | 0.940684i | \(-0.610184\pi\) | ||||
−0.339283 | + | 0.940684i | \(0.610184\pi\) | |||||||
\(84\) | 3.15476 | + | 13.8635i | 0.344212 | + | 1.51263i | ||||
\(85\) | −8.14908 | + | 14.1146i | −0.883892 | + | 1.53095i | ||||
\(86\) | −7.58229 | + | 13.1329i | −0.817620 | + | 1.41616i | ||||
\(87\) | 0.484868 | 0.0519833 | ||||||||
\(88\) | −7.47435 | + | 12.9460i | −0.796769 | + | 1.38004i | ||||
\(89\) | −4.40869 | −0.467320 | −0.233660 | − | 0.972318i | \(-0.575070\pi\) | ||||
−0.233660 | + | 0.972318i | \(0.575070\pi\) | |||||||
\(90\) | 10.5585 | 1.11297 | ||||||||
\(91\) | −6.62127 | + | 6.86722i | −0.694098 | + | 0.719881i | ||||
\(92\) | 4.25296 | 0.443402 | ||||||||
\(93\) | 1.83076 | 0.189841 | ||||||||
\(94\) | 0.793529 | − | 1.37443i | 0.0818463 | − | 0.141762i | ||||
\(95\) | −6.58879 | −0.675995 | ||||||||
\(96\) | 10.0243 | − | 17.3625i | 1.02310 | − | 1.77206i | ||||
\(97\) | 5.08782 | − | 8.81236i | 0.516590 | − | 0.894759i | −0.483225 | − | 0.875496i | \(-0.660535\pi\) |
0.999814 | − | 0.0192631i | \(-0.00613202\pi\) | |||||||
\(98\) | −1.44519 | + | 18.9534i | −0.145987 | + | 1.91458i | ||||
\(99\) | −1.63165 | −0.163987 | ||||||||
\(100\) | −27.1880 | − | 47.0911i | −2.71880 | − | 4.70911i | ||||
\(101\) | −7.08643 | + | 12.2741i | −0.705126 | + | 1.22131i | 0.261520 | + | 0.965198i | \(0.415776\pi\) |
−0.966646 | + | 0.256116i | \(0.917557\pi\) | |||||||
\(102\) | −5.69116 | + | 9.85738i | −0.563509 | + | 0.976026i | ||||
\(103\) | −0.891175 | + | 1.54356i | −0.0878101 | + | 0.152092i | −0.906585 | − | 0.422023i | \(-0.861320\pi\) |
0.818775 | + | 0.574114i | \(0.194654\pi\) | |||||||
\(104\) | 32.9807 | − | 1.85823i | 3.23403 | − | 0.182214i | ||||
\(105\) | 9.82836 | + | 3.03866i | 0.959150 | + | 0.296543i | ||||
\(106\) | −8.27942 | − | 14.3404i | −0.804169 | − | 1.39286i | ||||
\(107\) | 19.2154 | 1.85763 | 0.928814 | − | 0.370547i | \(-0.120830\pi\) | ||||
0.928814 | + | 0.370547i | \(0.120830\pi\) | |||||||
\(108\) | 5.37387 | 0.517101 | ||||||||
\(109\) | −5.34907 | − | 9.26486i | −0.512348 | − | 0.887413i | −0.999898 | − | 0.0143174i | \(-0.995442\pi\) |
0.487550 | − | 0.873095i | \(-0.337891\pi\) | |||||||
\(110\) | 8.61391 | + | 14.9197i | 0.821304 | + | 1.42254i | ||||
\(111\) | −0.344621 | + | 0.596901i | −0.0327100 | + | 0.0566553i | ||||
\(112\) | 27.4228 | − | 25.4114i | 2.59121 | − | 2.40116i | ||||
\(113\) | −3.82284 | + | 6.62135i | −0.359622 | + | 0.622884i | −0.987898 | − | 0.155107i | \(-0.950428\pi\) |
0.628275 | + | 0.777991i | \(0.283761\pi\) | |||||||
\(114\) | −4.60148 | −0.430968 | ||||||||
\(115\) | 1.53861 | − | 2.66496i | 0.143477 | − | 0.248509i | ||||
\(116\) | −1.30281 | − | 2.25653i | −0.120963 | − | 0.209514i | ||||
\(117\) | 1.97557 | + | 3.01614i | 0.182642 | + | 0.278842i | ||||
\(118\) | −22.4763 | −2.06911 | ||||||||
\(119\) | −8.13447 | + | 7.53783i | −0.745685 | + | 0.690991i | ||||
\(120\) | −17.8116 | − | 30.8506i | −1.62597 | − | 2.81626i | ||||
\(121\) | 4.16886 | + | 7.22068i | 0.378987 | + | 0.656425i | ||||
\(122\) | −12.3350 | − | 21.3648i | −1.11676 | − | 1.93428i | ||||
\(123\) | −5.93881 | −0.535485 | ||||||||
\(124\) | −4.91915 | − | 8.52021i | −0.441752 | − | 0.765138i | ||||
\(125\) | −19.9025 | −1.78013 | ||||||||
\(126\) | 6.86394 | + | 2.12214i | 0.611488 | + | 0.189055i | ||||
\(127\) | 1.88510 | + | 3.26510i | 0.167276 | + | 0.289730i | 0.937461 | − | 0.348090i | \(-0.113170\pi\) |
−0.770185 | + | 0.637820i | \(0.779836\pi\) | |||||||
\(128\) | −30.9944 | −2.73954 | ||||||||
\(129\) | 2.79224 | + | 4.83630i | 0.245843 | + | 0.425813i | ||||
\(130\) | 17.1499 | − | 33.9876i | 1.50415 | − | 2.98091i | ||||
\(131\) | 9.00807 | − | 15.6024i | 0.787039 | − | 1.36319i | −0.140735 | − | 0.990047i | \(-0.544947\pi\) |
0.927774 | − | 0.373143i | \(-0.121720\pi\) | |||||||
\(132\) | 4.38414 | + | 7.59355i | 0.381590 | + | 0.660934i | ||||
\(133\) | −4.28327 | − | 1.32427i | −0.371406 | − | 0.114829i | ||||
\(134\) | 1.35848 | − | 2.35296i | 0.117355 | − | 0.203264i | ||||
\(135\) | 1.94413 | − | 3.36734i | 0.167324 | − | 0.289814i | ||||
\(136\) | 38.4025 | 3.29299 | ||||||||
\(137\) | 21.7972 | 1.86226 | 0.931128 | − | 0.364692i | \(-0.118826\pi\) | ||||
0.931128 | + | 0.364692i | \(0.118826\pi\) | |||||||
\(138\) | 1.07454 | − | 1.86116i | 0.0914708 | − | 0.158432i | ||||
\(139\) | 0.355981 | − | 0.616576i | 0.0301939 | − | 0.0522973i | −0.850534 | − | 0.525921i | \(-0.823721\pi\) |
0.880727 | + | 0.473623i | \(0.157054\pi\) | |||||||
\(140\) | −12.2665 | − | 53.9050i | −1.03671 | − | 4.55581i | ||||
\(141\) | −0.292223 | − | 0.506146i | −0.0246096 | − | 0.0426252i | ||||
\(142\) | −21.5534 | + | 37.3315i | −1.80872 | + | 3.13279i | ||||
\(143\) | −2.65024 | + | 5.25223i | −0.221624 | + | 0.439213i | ||||
\(144\) | −7.06539 | − | 12.2376i | −0.588782 | − | 1.01980i | ||||
\(145\) | −1.88529 | −0.156565 | ||||||||
\(146\) | 7.94622 | + | 13.7632i | 0.657633 | + | 1.13905i | ||||
\(147\) | 5.77853 | + | 3.95077i | 0.476605 | + | 0.325854i | ||||
\(148\) | 3.70390 | 0.304459 | ||||||||
\(149\) | 2.79640 | + | 4.84351i | 0.229090 | + | 0.396796i | 0.957539 | − | 0.288305i | \(-0.0930916\pi\) |
−0.728448 | + | 0.685101i | \(0.759758\pi\) | |||||||
\(150\) | −27.4769 | −2.24348 | ||||||||
\(151\) | 4.99718 | + | 8.65536i | 0.406664 | + | 0.704364i | 0.994514 | − | 0.104607i | \(-0.0333585\pi\) |
−0.587849 | + | 0.808971i | \(0.700025\pi\) | |||||||
\(152\) | 7.76241 | + | 13.4449i | 0.629614 | + | 1.09052i | ||||
\(153\) | 2.09582 | + | 3.63006i | 0.169437 | + | 0.293473i | ||||
\(154\) | 2.60108 | + | 11.4304i | 0.209601 | + | 0.921086i | ||||
\(155\) | −7.11849 | −0.571771 | ||||||||
\(156\) | 8.72862 | − | 17.2983i | 0.698849 | − | 1.38497i | ||||
\(157\) | 9.42039 | + | 16.3166i | 0.751829 | + | 1.30221i | 0.946935 | + | 0.321424i | \(0.104162\pi\) |
−0.195106 | + | 0.980782i | \(0.562505\pi\) | |||||||
\(158\) | −1.74624 | + | 3.02457i | −0.138923 | + | 0.240622i | ||||
\(159\) | −6.09793 | −0.483597 | ||||||||
\(160\) | −38.9770 | + | 67.5101i | −3.08140 | + | 5.33714i | ||||
\(161\) | 1.53586 | − | 1.42320i | 0.121042 | − | 0.112164i | ||||
\(162\) | 1.35774 | − | 2.35168i | 0.106674 | − | 0.184766i | ||||
\(163\) | 12.2236 | + | 21.1718i | 0.957423 | + | 1.65830i | 0.728724 | + | 0.684808i | \(0.240114\pi\) |
0.228699 | + | 0.973497i | \(0.426553\pi\) | |||||||
\(164\) | 15.9572 | + | 27.6387i | 1.24605 | + | 2.15822i | ||||
\(165\) | 6.34428 | 0.493902 | ||||||||
\(166\) | 16.7872 | 1.30294 | ||||||||
\(167\) | −4.28482 | − | 7.42152i | −0.331569 | − | 0.574295i | 0.651251 | − | 0.758863i | \(-0.274245\pi\) |
−0.982820 | + | 0.184568i | \(0.940911\pi\) | |||||||
\(168\) | −5.37843 | − | 23.6354i | −0.414955 | − | 1.82351i | ||||
\(169\) | 12.9177 | − | 1.46028i | 0.993671 | − | 0.112329i | ||||
\(170\) | 22.1287 | − | 38.3281i | 1.69720 | − | 2.93963i | ||||
\(171\) | −0.847266 | + | 1.46751i | −0.0647920 | + | 0.112223i | ||||
\(172\) | 15.0051 | − | 25.9897i | 1.14413 | − | 1.98169i | ||||
\(173\) | −3.84040 | − | 6.65176i | −0.291980 | − | 0.505724i | 0.682298 | − | 0.731074i | \(-0.260981\pi\) |
−0.974278 | + | 0.225350i | \(0.927647\pi\) | |||||||
\(174\) | −1.31665 | −0.0998152 | ||||||||
\(175\) | −25.5768 | − | 7.90764i | −1.93342 | − | 0.597761i | ||||
\(176\) | 11.5282 | − | 19.9675i | 0.868974 | − | 1.50511i | ||||
\(177\) | −4.13854 | + | 7.16816i | −0.311072 | + | 0.538792i | ||||
\(178\) | 11.9717 | 0.897319 | ||||||||
\(179\) | −4.87194 | + | 8.43845i | −0.364146 | + | 0.630719i | −0.988639 | − | 0.150311i | \(-0.951972\pi\) |
0.624493 | + | 0.781031i | \(0.285306\pi\) | |||||||
\(180\) | −20.8950 | −1.55742 | ||||||||
\(181\) | −6.23699 | −0.463592 | −0.231796 | − | 0.972764i | \(-0.574460\pi\) | ||||
−0.231796 | + | 0.972764i | \(0.574460\pi\) | |||||||
\(182\) | 17.9800 | − | 18.6479i | 1.33277 | − | 1.38227i | ||||
\(183\) | −9.08491 | −0.671576 | ||||||||
\(184\) | −7.25072 | −0.534530 | ||||||||
\(185\) | 1.33998 | − | 2.32091i | 0.0985171 | − | 0.170637i | ||||
\(186\) | −4.97142 | −0.364522 | ||||||||
\(187\) | −3.41964 | + | 5.92298i | −0.250069 | + | 0.433131i | ||||
\(188\) | −1.57037 | + | 2.71996i | −0.114531 | + | 0.198374i | ||||
\(189\) | 1.94064 | − | 1.79830i | 0.141161 | − | 0.130807i | ||||
\(190\) | 17.8918 | 1.29801 | ||||||||
\(191\) | −1.52382 | − | 2.63934i | −0.110260 | − | 0.190976i | 0.805615 | − | 0.592439i | \(-0.201835\pi\) |
−0.915875 | + | 0.401464i | \(0.868502\pi\) | |||||||
\(192\) | −13.0900 | + | 22.6725i | −0.944689 | + | 1.63625i | ||||
\(193\) | −4.49172 | + | 7.77988i | −0.323321 | + | 0.560008i | −0.981171 | − | 0.193141i | \(-0.938133\pi\) |
0.657850 | + | 0.753149i | \(0.271466\pi\) | |||||||
\(194\) | −13.8159 | + | 23.9299i | −0.991924 | + | 1.71806i | ||||
\(195\) | −7.68155 | − | 11.7276i | −0.550087 | − | 0.839828i | ||||
\(196\) | 2.86000 | − | 37.5082i | 0.204286 | − | 2.67916i | ||||
\(197\) | −8.42977 | − | 14.6008i | −0.600596 | − | 1.04026i | −0.992731 | − | 0.120355i | \(-0.961597\pi\) |
0.392135 | − | 0.919908i | \(-0.371737\pi\) | |||||||
\(198\) | 4.43072 | 0.314878 | ||||||||
\(199\) | −2.04525 | −0.144984 | −0.0724919 | − | 0.997369i | \(-0.523095\pi\) | ||||
−0.0724919 | + | 0.997369i | \(0.523095\pi\) | |||||||
\(200\) | 46.3519 | + | 80.2838i | 3.27757 | + | 5.67692i | ||||
\(201\) | −0.500271 | − | 0.866495i | −0.0352864 | − | 0.0611178i | ||||
\(202\) | 19.2431 | − | 33.3300i | 1.35394 | − | 2.34509i | ||||
\(203\) | −1.22560 | − | 0.378922i | −0.0860203 | − | 0.0265951i | ||||
\(204\) | 11.2626 | − | 19.5075i | 0.788543 | − | 1.36580i | ||||
\(205\) | 23.0917 | 1.61279 | ||||||||
\(206\) | 2.41998 | − | 4.19152i | 0.168608 | − | 0.292037i | ||||
\(207\) | −0.395707 | − | 0.685385i | −0.0275036 | − | 0.0476376i | ||||
\(208\) | −50.8686 | + | 2.86608i | −3.52710 | + | 0.198727i | ||||
\(209\) | −2.76488 | −0.191251 | ||||||||
\(210\) | −26.6888 | − | 8.25145i | −1.84170 | − | 0.569404i | ||||
\(211\) | 12.3382 | + | 21.3705i | 0.849400 | + | 1.47120i | 0.881745 | + | 0.471727i | \(0.156369\pi\) |
−0.0323446 | + | 0.999477i | \(0.510297\pi\) | |||||||
\(212\) | 16.3847 | + | 28.3792i | 1.12531 | + | 1.94909i | ||||
\(213\) | 7.93720 | + | 13.7476i | 0.543848 | + | 0.941972i | ||||
\(214\) | −52.1793 | −3.56690 | ||||||||
\(215\) | −10.8570 | − | 18.8048i | −0.740439 | − | 1.28248i | ||||
\(216\) | −9.16172 | −0.623376 | ||||||||
\(217\) | −4.62762 | − | 1.43073i | −0.314143 | − | 0.0971245i | ||||
\(218\) | 14.5253 | + | 25.1586i | 0.983780 | + | 1.70396i | ||||
\(219\) | 5.85251 | 0.395476 | ||||||||
\(220\) | −17.0467 | − | 29.5257i | −1.14929 | − | 1.99062i | ||||
\(221\) | 15.0892 | − | 0.850170i | 1.01501 | − | 0.0571886i | ||||
\(222\) | 0.935814 | − | 1.62088i | 0.0628077 | − | 0.108786i | ||||
\(223\) | −8.99595 | − | 15.5814i | −0.602413 | − | 1.04341i | −0.992455 | − | 0.122613i | \(-0.960873\pi\) |
0.390041 | − | 0.920797i | \(-0.372461\pi\) | |||||||
\(224\) | −38.9071 | + | 36.0534i | −2.59959 | + | 2.40892i | ||||
\(225\) | −5.05930 | + | 8.76296i | −0.337287 | + | 0.584197i | ||||
\(226\) | 10.3809 | − | 17.9802i | 0.690525 | − | 1.19603i | ||||
\(227\) | −8.34572 | −0.553925 | −0.276963 | − | 0.960881i | \(-0.589328\pi\) | ||||
−0.276963 | + | 0.960881i | \(0.589328\pi\) | |||||||
\(228\) | 9.10620 | 0.603073 | ||||||||
\(229\) | −11.1172 | + | 19.2556i | −0.734647 | + | 1.27245i | 0.220232 | + | 0.975448i | \(0.429319\pi\) |
−0.954878 | + | 0.296998i | \(0.904015\pi\) | |||||||
\(230\) | −4.17809 | + | 7.23666i | −0.275495 | + | 0.477172i | ||||
\(231\) | 4.12432 | + | 1.27513i | 0.271360 | + | 0.0838972i | ||||
\(232\) | 2.22111 | + | 3.84708i | 0.145823 | + | 0.252573i | ||||
\(233\) | 2.50918 | − | 4.34602i | 0.164382 | − | 0.284717i | −0.772054 | − | 0.635557i | \(-0.780771\pi\) |
0.936435 | + | 0.350840i | \(0.114104\pi\) | |||||||
\(234\) | −5.36464 | − | 8.19030i | −0.350698 | − | 0.535416i | ||||
\(235\) | 1.13624 | + | 1.96803i | 0.0741202 | + | 0.128380i | ||||
\(236\) | 44.4800 | 2.89540 | ||||||||
\(237\) | 0.643065 | + | 1.11382i | 0.0417716 | + | 0.0723505i | ||||
\(238\) | 22.0890 | − | 20.4689i | 1.43182 | − | 1.32680i | ||||
\(239\) | 9.28305 | 0.600470 | 0.300235 | − | 0.953865i | \(-0.402935\pi\) | ||||
0.300235 | + | 0.953865i | \(0.402935\pi\) | |||||||
\(240\) | 27.4721 | + | 47.5831i | 1.77332 | + | 3.07147i | ||||
\(241\) | −14.7894 | −0.952668 | −0.476334 | − | 0.879264i | \(-0.658035\pi\) | ||||
−0.476334 | + | 0.879264i | \(0.658035\pi\) | |||||||
\(242\) | −11.3205 | − | 19.6077i | −0.727709 | − | 1.26043i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 24.4106 | + | 42.2804i | 1.56273 | + | 2.70672i | ||||
\(245\) | −22.4684 | − | 15.3616i | −1.43546 | − | 0.981419i | ||||
\(246\) | 16.1268 | 1.02821 | ||||||||
\(247\) | 3.34767 | + | 5.11095i | 0.213007 | + | 0.325202i | ||||
\(248\) | 8.38647 | + | 14.5258i | 0.532541 | + | 0.922388i | ||||
\(249\) | 3.09101 | − | 5.35379i | 0.195885 | − | 0.339283i | ||||
\(250\) | 54.0449 | 3.41810 | ||||||||
\(251\) | 4.80626 | − | 8.32468i | 0.303368 | − | 0.525449i | −0.673529 | − | 0.739161i | \(-0.735222\pi\) |
0.976897 | + | 0.213712i | \(0.0685555\pi\) | |||||||
\(252\) | −13.5835 | − | 4.19966i | −0.855683 | − | 0.264554i | ||||
\(253\) | 0.645656 | − | 1.11831i | 0.0405920 | − | 0.0703075i | ||||
\(254\) | −5.11898 | − | 8.86633i | −0.321193 | − | 0.556323i | ||||
\(255\) | −8.14908 | − | 14.1146i | −0.510315 | − | 0.883892i | ||||
\(256\) | 31.8049 | 1.98780 | ||||||||
\(257\) | 5.05576 | 0.315370 | 0.157685 | − | 0.987489i | \(-0.449597\pi\) | ||||
0.157685 | + | 0.987489i | \(0.449597\pi\) | |||||||
\(258\) | −7.58229 | − | 13.1329i | −0.472053 | − | 0.817620i | ||||
\(259\) | 1.33757 | − | 1.23947i | 0.0831128 | − | 0.0770167i | ||||
\(260\) | −33.9392 | + | 67.2605i | −2.10482 | + | 4.17132i | ||||
\(261\) | −0.242434 | + | 0.419908i | −0.0150063 | + | 0.0259916i | ||||
\(262\) | −24.4613 | + | 42.3682i | −1.51122 | + | 2.61752i | ||||
\(263\) | −11.6769 | + | 20.2250i | −0.720027 | + | 1.24712i | 0.240961 | + | 0.970535i | \(0.422537\pi\) |
−0.960988 | + | 0.276589i | \(0.910796\pi\) | |||||||
\(264\) | −7.47435 | − | 12.9460i | −0.460015 | − | 0.796769i | ||||
\(265\) | 23.7104 | 1.45652 | ||||||||
\(266\) | 11.6312 | + | 3.59604i | 0.713152 | + | 0.220487i | ||||
\(267\) | 2.20434 | − | 3.81803i | 0.134904 | − | 0.233660i | ||||
\(268\) | −2.68839 | + | 4.65644i | −0.164220 | + | 0.284437i | ||||
\(269\) | −31.3914 | −1.91397 | −0.956984 | − | 0.290141i | \(-0.906298\pi\) | ||||
−0.956984 | + | 0.290141i | \(0.906298\pi\) | |||||||
\(270\) | −5.27927 | + | 9.14396i | −0.321286 | + | 0.556484i | ||||
\(271\) | −11.3303 | −0.688267 | −0.344134 | − | 0.938921i | \(-0.611827\pi\) | ||||
−0.344134 | + | 0.938921i | \(0.611827\pi\) | |||||||
\(272\) | −59.2310 | −3.59141 | ||||||||
\(273\) | −2.63655 | − | 9.16780i | −0.159571 | − | 0.554861i | ||||
\(274\) | −59.1899 | −3.57579 | ||||||||
\(275\) | −16.5100 | −0.995591 | ||||||||
\(276\) | −2.12648 | + | 3.68318i | −0.127999 | + | 0.221701i | ||||
\(277\) | 17.9226 | 1.07686 | 0.538432 | − | 0.842669i | \(-0.319017\pi\) | ||||
0.538432 | + | 0.842669i | \(0.319017\pi\) | |||||||
\(278\) | −0.966661 | + | 1.67431i | −0.0579765 | + | 0.100418i | ||||
\(279\) | −0.915382 | + | 1.58549i | −0.0548025 | + | 0.0949207i | ||||
\(280\) | 20.9127 | + | 91.9006i | 1.24978 | + | 5.49211i | ||||
\(281\) | −11.6172 | −0.693021 | −0.346511 | − | 0.938046i | \(-0.612634\pi\) | ||||
−0.346511 | + | 0.938046i | \(0.612634\pi\) | |||||||
\(282\) | 0.793529 | + | 1.37443i | 0.0472540 | + | 0.0818463i | ||||
\(283\) | 4.04596 | − | 7.00781i | 0.240507 | − | 0.416571i | −0.720352 | − | 0.693609i | \(-0.756019\pi\) |
0.960859 | + | 0.277038i | \(0.0893528\pi\) | |||||||
\(284\) | 42.6535 | − | 73.8781i | 2.53102 | − | 4.38386i | ||||
\(285\) | 3.29439 | − | 5.70606i | 0.195143 | − | 0.337998i | ||||
\(286\) | 7.19669 | − | 14.2624i | 0.425549 | − | 0.843351i | ||||
\(287\) | 15.0115 | + | 4.64116i | 0.886103 | + | 0.273959i | ||||
\(288\) | 10.0243 | + | 17.3625i | 0.590685 | + | 1.02310i | ||||
\(289\) | 0.569768 | 0.0335158 | ||||||||
\(290\) | 5.11949 | 0.300627 | ||||||||
\(291\) | 5.08782 | + | 8.81236i | 0.298253 | + | 0.516590i | ||||
\(292\) | −15.7253 | − | 27.2371i | −0.920256 | − | 1.59393i | ||||
\(293\) | −8.90887 | + | 15.4306i | −0.520461 | + | 0.901466i | 0.479255 | + | 0.877675i | \(0.340907\pi\) |
−0.999717 | + | 0.0237903i | \(0.992427\pi\) | |||||||
\(294\) | −15.6915 | − | 10.7283i | −0.915148 | − | 0.625686i | ||||
\(295\) | 16.0917 | − | 27.8717i | 0.936897 | − | 1.62275i | ||||
\(296\) | −6.31464 | −0.367031 | ||||||||
\(297\) | 0.815825 | − | 1.41305i | 0.0473389 | − | 0.0819935i | ||||
\(298\) | −7.59360 | − | 13.1525i | −0.439885 | − | 0.761904i | ||||
\(299\) | −2.84897 | + | 0.160519i | −0.164760 | + | 0.00928306i | ||||
\(300\) | 54.3761 | 3.13940 | ||||||||
\(301\) | −3.27840 | − | 14.4068i | −0.188964 | − | 0.830396i | ||||
\(302\) | −13.5698 | − | 23.5035i | −0.780853 | − | 1.35248i | ||||
\(303\) | −7.08643 | − | 12.2741i | −0.407105 | − | 0.705126i | ||||
\(304\) | −11.9725 | − | 20.7370i | −0.686671 | − | 1.18935i | ||||
\(305\) | 35.3245 | 2.02268 | ||||||||
\(306\) | −5.69116 | − | 9.85738i | −0.325342 | − | 0.563509i | ||||
\(307\) | 16.1633 | 0.922487 | 0.461244 | − | 0.887274i | \(-0.347403\pi\) | ||||
0.461244 | + | 0.887274i | \(0.347403\pi\) | |||||||
\(308\) | −5.14746 | − | 22.6204i | −0.293304 | − | 1.28892i | ||||
\(309\) | −0.891175 | − | 1.54356i | −0.0506972 | − | 0.0878101i | ||||
\(310\) | 19.3302 | 1.09788 | ||||||||
\(311\) | 9.06145 | + | 15.6949i | 0.513827 | + | 0.889975i | 0.999871 | + | 0.0160409i | \(0.00510619\pi\) |
−0.486044 | + | 0.873934i | \(0.661560\pi\) | |||||||
\(312\) | −14.8811 | + | 29.4913i | −0.842476 | + | 1.66961i | ||||
\(313\) | 12.8068 | − | 22.1820i | 0.723882 | − | 1.25380i | −0.235550 | − | 0.971862i | \(-0.575689\pi\) |
0.959432 | − | 0.281939i | \(-0.0909774\pi\) | |||||||
\(314\) | −25.5810 | − | 44.3075i | −1.44362 | − | 2.50042i | ||||
\(315\) | −7.54574 | + | 6.99228i | −0.425154 | + | 0.393970i | ||||
\(316\) | 3.45575 | − | 5.98554i | 0.194401 | − | 0.336713i | ||||
\(317\) | 13.7304 | − | 23.7817i | 0.771174 | − | 1.33571i | −0.165746 | − | 0.986168i | \(-0.553003\pi\) |
0.936920 | − | 0.349544i | \(-0.113663\pi\) | |||||||
\(318\) | 16.5588 | 0.928574 | ||||||||
\(319\) | −0.791134 | −0.0442950 | ||||||||
\(320\) | 50.8973 | − | 88.1568i | 2.84525 | − | 4.92811i | ||||
\(321\) | −9.60772 | + | 16.6411i | −0.536251 | + | 0.928814i | ||||
\(322\) | −4.17060 | + | 3.86470i | −0.232418 | + | 0.215371i | ||||
\(323\) | 3.55143 | + | 6.15125i | 0.197607 | + | 0.342265i | ||||
\(324\) | −2.68694 | + | 4.65391i | −0.149274 | + | 0.258551i | ||||
\(325\) | 19.9900 | + | 30.5191i | 1.10885 | + | 1.69290i | ||||
\(326\) | −33.1929 | − | 57.4918i | −1.83839 | − | 3.18418i | ||||
\(327\) | 10.6981 | 0.591609 | ||||||||
\(328\) | −27.2049 | − | 47.1202i | −1.50214 | − | 2.60178i | ||||
\(329\) | 0.343102 | + | 1.50776i | 0.0189158 | + | 0.0831252i | ||||
\(330\) | −17.2278 | −0.948361 | ||||||||
\(331\) | −3.47563 | − | 6.01996i | −0.191038 | − | 0.330887i | 0.754557 | − | 0.656235i | \(-0.227852\pi\) |
−0.945594 | + | 0.325348i | \(0.894519\pi\) | |||||||
\(332\) | −33.2214 | −1.82326 | ||||||||
\(333\) | −0.344621 | − | 0.596901i | −0.0188851 | − | 0.0327100i | ||||
\(334\) | 11.6354 | + | 20.1531i | 0.636659 | + | 1.10273i | ||||
\(335\) | 1.94519 | + | 3.36916i | 0.106277 | + | 0.184077i | ||||
\(336\) | 8.29554 | + | 36.4546i | 0.452559 | + | 1.98876i | ||||
\(337\) | 29.0505 | 1.58248 | 0.791242 | − | 0.611503i | \(-0.209435\pi\) | ||||
0.791242 | + | 0.611503i | \(0.209435\pi\) | |||||||
\(338\) | −35.0779 | + | 3.96537i | −1.90799 | + | 0.215688i | ||||
\(339\) | −3.82284 | − | 6.62135i | −0.207628 | − | 0.359622i | ||||
\(340\) | −43.7922 | + | 75.8502i | −2.37496 | + | 4.11356i | ||||
\(341\) | −2.98716 | −0.161764 | ||||||||
\(342\) | 2.30074 | − | 3.98500i | 0.124410 | − | 0.215484i | ||||
\(343\) | −11.5189 | − | 14.5023i | −0.621961 | − | 0.783048i | ||||
\(344\) | −25.5817 | + | 44.3088i | −1.37927 | + | 2.38897i | ||||
\(345\) | 1.53861 | + | 2.66496i | 0.0828362 | + | 0.143477i | ||||
\(346\) | 10.4285 | + | 18.0628i | 0.560642 | + | 0.971061i | ||||
\(347\) | 5.10846 | 0.274236 | 0.137118 | − | 0.990555i | \(-0.456216\pi\) | ||||
0.137118 | + | 0.990555i | \(0.456216\pi\) | |||||||
\(348\) | 2.60562 | 0.139676 | ||||||||
\(349\) | 12.2420 | + | 21.2038i | 0.655300 | + | 1.13501i | 0.981819 | + | 0.189822i | \(0.0607911\pi\) |
−0.326519 | + | 0.945191i | \(0.605876\pi\) | |||||||
\(350\) | 69.4534 | + | 21.4731i | 3.71244 | + | 1.14779i | ||||
\(351\) | −3.59984 | + | 0.202826i | −0.192145 | + | 0.0108260i | ||||
\(352\) | −16.3561 | + | 28.3296i | −0.871782 | + | 1.50997i | ||||
\(353\) | −2.07090 | + | 3.58690i | −0.110223 | + | 0.190912i | −0.915860 | − | 0.401498i | \(-0.868490\pi\) |
0.805637 | + | 0.592409i | \(0.201823\pi\) | |||||||
\(354\) | 11.2381 | − | 19.4650i | 0.597301 | − | 1.03456i | ||||
\(355\) | −30.8619 | − | 53.4544i | −1.63798 | − | 2.83707i | ||||
\(356\) | −23.6917 | −1.25566 | ||||||||
\(357\) | −2.46072 | − | 10.8136i | −0.130235 | − | 0.572315i | ||||
\(358\) | 13.2297 | − | 22.9145i | 0.699211 | − | 1.21107i | ||||
\(359\) | 6.45007 | − | 11.1718i | 0.340421 | − | 0.589627i | −0.644090 | − | 0.764950i | \(-0.722764\pi\) |
0.984511 | + | 0.175323i | \(0.0560969\pi\) | |||||||
\(360\) | 35.6232 | 1.87751 | ||||||||
\(361\) | 8.06428 | − | 13.9677i | 0.424436 | − | 0.735144i | ||||
\(362\) | 16.9365 | 0.890162 | ||||||||
\(363\) | −8.33772 | −0.437617 | ||||||||
\(364\) | −35.5819 | + | 36.9036i | −1.86500 | + | 1.93427i | ||||
\(365\) | −22.7561 | −1.19111 | ||||||||
\(366\) | 24.6700 | 1.28952 | ||||||||
\(367\) | −3.68288 | + | 6.37894i | −0.192245 | + | 0.332978i | −0.945994 | − | 0.324185i | \(-0.894910\pi\) |
0.753749 | + | 0.657162i | \(0.228243\pi\) | |||||||
\(368\) | 11.1833 | 0.582970 | ||||||||
\(369\) | 2.96941 | − | 5.14316i | 0.154581 | − | 0.267742i | ||||
\(370\) | −3.63869 | + | 6.30240i | −0.189167 | + | 0.327646i | ||||
\(371\) | 15.4137 | + | 4.76550i | 0.800241 | + | 0.247413i | ||||
\(372\) | 9.83829 | 0.510092 | ||||||||
\(373\) | 11.8284 | + | 20.4874i | 0.612451 | + | 1.06080i | 0.990826 | + | 0.135144i | \(0.0431496\pi\) |
−0.378375 | + | 0.925652i | \(0.623517\pi\) | |||||||
\(374\) | 9.28598 | − | 16.0838i | 0.480167 | − | 0.831673i | ||||
\(375\) | 9.95123 | − | 17.2360i | 0.513879 | − | 0.890065i | ||||
\(376\) | 2.67727 | − | 4.63716i | 0.138070 | − | 0.239143i | ||||
\(377\) | 0.957892 | + | 1.46243i | 0.0493339 | + | 0.0753190i | ||||
\(378\) | −5.26980 | + | 4.88327i | −0.271049 | + | 0.251168i | ||||
\(379\) | −5.12668 | − | 8.87966i | −0.263340 | − | 0.456118i | 0.703788 | − | 0.710410i | \(-0.251491\pi\) |
−0.967127 | + | 0.254293i | \(0.918157\pi\) | |||||||
\(380\) | −35.4073 | −1.81636 | ||||||||
\(381\) | −3.77021 | −0.193154 | ||||||||
\(382\) | 4.13792 | + | 7.16708i | 0.211714 | + | 0.366700i | ||||
\(383\) | 9.66599 | + | 16.7420i | 0.493909 | + | 0.855475i | 0.999975 | − | 0.00701929i | \(-0.00223433\pi\) |
−0.506067 | + | 0.862494i | \(0.668901\pi\) | |||||||
\(384\) | 15.4972 | − | 26.8419i | 0.790837 | − | 1.36977i | ||||
\(385\) | −16.0364 | − | 4.95803i | −0.817293 | − | 0.252685i | ||||
\(386\) | 12.1972 | − | 21.1262i | 0.620821 | − | 1.07529i | ||||
\(387\) | −5.58448 | −0.283875 | ||||||||
\(388\) | 27.3413 | − | 47.3565i | 1.38804 | − | 2.40416i | ||||
\(389\) | −5.95876 | − | 10.3209i | −0.302121 | − | 0.523289i | 0.674495 | − | 0.738279i | \(-0.264361\pi\) |
−0.976616 | + | 0.214990i | \(0.931028\pi\) | |||||||
\(390\) | 20.8592 | + | 31.8460i | 1.05624 | + | 1.61259i | ||||
\(391\) | −3.31732 | −0.167764 | ||||||||
\(392\) | −4.87590 | + | 63.9464i | −0.246270 | + | 3.22978i | ||||
\(393\) | 9.00807 | + | 15.6024i | 0.454397 | + | 0.787039i | ||||
\(394\) | 22.8909 | + | 39.6483i | 1.15323 | + | 1.99745i | ||||
\(395\) | −2.50041 | − | 4.33083i | −0.125809 | − | 0.217908i | ||||
\(396\) | −8.76828 | −0.440623 | ||||||||
\(397\) | −0.483606 | − | 0.837630i | −0.0242715 | − | 0.0420395i | 0.853635 | − | 0.520872i | \(-0.174393\pi\) |
−0.877906 | + | 0.478833i | \(0.841060\pi\) | |||||||
\(398\) | 5.55385 | 0.278389 | ||||||||
\(399\) | 3.28848 | − | 3.04728i | 0.164630 | − | 0.152555i | ||||
\(400\) | −71.4918 | − | 123.827i | −3.57459 | − | 6.19137i | ||||
\(401\) | −23.4745 | −1.17226 | −0.586131 | − | 0.810217i | \(-0.699349\pi\) | ||||
−0.586131 | + | 0.810217i | \(0.699349\pi\) | |||||||
\(402\) | 1.35848 | + | 2.35296i | 0.0677548 | + | 0.117355i | ||||
\(403\) | 3.61681 | + | 5.52184i | 0.180166 | + | 0.275063i | ||||
\(404\) | −38.0816 | + | 65.9592i | −1.89463 | + | 3.28159i | ||||
\(405\) | 1.94413 | + | 3.36734i | 0.0966047 | + | 0.167324i | ||||
\(406\) | 3.32810 | + | 1.02896i | 0.165171 | + | 0.0510663i | ||||
\(407\) | 0.562300 | − | 0.973933i | 0.0278722 | − | 0.0482761i | ||||
\(408\) | −19.2013 | + | 33.2576i | −0.950604 | + | 1.64649i | ||||
\(409\) | −19.0317 | −0.941059 | −0.470529 | − | 0.882384i | \(-0.655937\pi\) | ||||
−0.470529 | + | 0.882384i | \(0.655937\pi\) | |||||||
\(410\) | −62.7052 | −3.09679 | ||||||||
\(411\) | −10.8986 | + | 18.8769i | −0.537587 | + | 0.931128i | ||||
\(412\) | −4.78907 | + | 8.29490i | −0.235940 | + | 0.408661i | ||||
\(413\) | 16.0629 | − | 14.8847i | 0.790402 | − | 0.732428i | ||||
\(414\) | 1.07454 | + | 1.86116i | 0.0528107 | + | 0.0914708i | ||||
\(415\) | −12.0187 | + | 20.8169i | −0.589973 | + | 1.02186i | ||||
\(416\) | 72.1715 | − | 4.06635i | 3.53850 | − | 0.199369i | ||||
\(417\) | 0.355981 | + | 0.616576i | 0.0174324 | + | 0.0301939i | ||||
\(418\) | 7.50800 | 0.367228 | ||||||||
\(419\) | 16.1312 | + | 27.9400i | 0.788060 | + | 1.36496i | 0.927154 | + | 0.374681i | \(0.122248\pi\) |
−0.139093 | + | 0.990279i | \(0.544419\pi\) | |||||||
\(420\) | 52.8164 | + | 16.3294i | 2.57718 | + | 0.796792i | ||||
\(421\) | −34.4202 | −1.67754 | −0.838769 | − | 0.544488i | \(-0.816724\pi\) | ||||
−0.838769 | + | 0.544488i | \(0.816724\pi\) | |||||||
\(422\) | −33.5044 | − | 58.0313i | −1.63097 | − | 2.82492i | ||||
\(423\) | 0.584447 | 0.0284168 | ||||||||
\(424\) | −27.9337 | − | 48.3827i | −1.35658 | − | 2.34967i | ||||
\(425\) | 21.2067 | + | 36.7311i | 1.02868 | + | 1.78172i | ||||
\(426\) | −21.5534 | − | 37.3315i | −1.04426 | − | 1.80872i | ||||
\(427\) | 22.9639 | + | 7.09982i | 1.11130 | + | 0.343584i | ||||
\(428\) | 103.261 | 4.99133 | ||||||||
\(429\) | −3.22344 | − | 4.92129i | −0.155629 | − | 0.237602i | ||||
\(430\) | 29.4820 | + | 51.0643i | 1.42175 | + | 2.46254i | ||||
\(431\) | −0.996911 | + | 1.72670i | −0.0480195 | + | 0.0831722i | −0.889036 | − | 0.457837i | \(-0.848624\pi\) |
0.841017 | + | 0.541009i | \(0.181958\pi\) | |||||||
\(432\) | 14.1308 | 0.679867 | ||||||||
\(433\) | 3.70848 | − | 6.42328i | 0.178218 | − | 0.308683i | −0.763052 | − | 0.646337i | \(-0.776300\pi\) |
0.941270 | + | 0.337654i | \(0.109633\pi\) | |||||||
\(434\) | 12.5662 | + | 3.88514i | 0.603199 | + | 0.186493i | ||||
\(435\) | 0.942647 | − | 1.63271i | 0.0451965 | − | 0.0782826i | ||||
\(436\) | −28.7452 | − | 49.7882i | −1.37665 | − | 2.38442i | ||||
\(437\) | −0.670539 | − | 1.16141i | −0.0320762 | − | 0.0555576i | ||||
\(438\) | −15.8924 | −0.759370 | ||||||||
\(439\) | 20.7746 | 0.991520 | 0.495760 | − | 0.868460i | \(-0.334890\pi\) | ||||
0.495760 | + | 0.868460i | \(0.334890\pi\) | |||||||
\(440\) | 29.0623 | + | 50.3373i | 1.38549 | + | 2.39974i | ||||
\(441\) | −6.31073 | + | 3.02897i | −0.300511 | + | 0.144237i | ||||
\(442\) | −40.9746 | + | 2.30863i | −1.94896 | + | 0.109810i | ||||
\(443\) | −2.67178 | + | 4.62766i | −0.126940 | + | 0.219867i | −0.922490 | − | 0.386022i | \(-0.873849\pi\) |
0.795550 | + | 0.605889i | \(0.207182\pi\) | |||||||
\(444\) | −1.85195 | + | 3.20767i | −0.0878896 | + | 0.152229i | ||||
\(445\) | −8.57107 | + | 14.8455i | −0.406308 | + | 0.703745i | ||||
\(446\) | 24.4284 | + | 42.3112i | 1.15672 | + | 2.00349i | ||||
\(447\) | −5.59281 | −0.264531 | ||||||||
\(448\) | 50.8060 | − | 47.0796i | 2.40036 | − | 2.22430i | ||||
\(449\) | −15.0969 | + | 26.1486i | −0.712468 | + | 1.23403i | 0.251460 | + | 0.967868i | \(0.419089\pi\) |
−0.963928 | + | 0.266163i | \(0.914244\pi\) | |||||||
\(450\) | 13.7385 | − | 23.7957i | 0.647637 | − | 1.12174i | ||||
\(451\) | 9.69006 | 0.456287 | ||||||||
\(452\) | −20.5435 | + | 35.5823i | −0.966283 | + | 1.67365i | ||||
\(453\) | −9.99435 | −0.469576 | ||||||||
\(454\) | 22.6627 | 1.06361 | ||||||||
\(455\) | 10.2516 | + | 35.6468i | 0.480603 | + | 1.67115i | ||||
\(456\) | −15.5248 | −0.727016 | ||||||||
\(457\) | −31.0204 | −1.45108 | −0.725538 | − | 0.688182i | \(-0.758409\pi\) | ||||
−0.725538 | + | 0.688182i | \(0.758409\pi\) | |||||||
\(458\) | 30.1887 | − | 52.2883i | 1.41062 | − | 2.44327i | ||||
\(459\) | −4.19163 | −0.195649 | ||||||||
\(460\) | 8.26832 | − | 14.3212i | 0.385513 | − | 0.667727i | ||||
\(461\) | −2.19226 | + | 3.79710i | −0.102104 | + | 0.176848i | −0.912551 | − | 0.408963i | \(-0.865891\pi\) |
0.810448 | + | 0.585811i | \(0.199224\pi\) | |||||||
\(462\) | −11.1995 | − | 3.46259i | −0.521050 | − | 0.161094i | ||||
\(463\) | 4.93368 | 0.229288 | 0.114644 | − | 0.993407i | \(-0.463427\pi\) | ||||
0.114644 | + | 0.993407i | \(0.463427\pi\) | |||||||
\(464\) | −3.42578 | − | 5.93362i | −0.159038 | − | 0.275462i | ||||
\(465\) | 3.55925 | − | 6.16479i | 0.165056 | − | 0.285885i | ||||
\(466\) | −6.81364 | + | 11.8016i | −0.315636 | + | 0.546697i | ||||
\(467\) | 3.98764 | − | 6.90680i | 0.184526 | − | 0.319609i | −0.758891 | − | 0.651218i | \(-0.774258\pi\) |
0.943417 | + | 0.331610i | \(0.107592\pi\) | |||||||
\(468\) | 10.6165 | + | 16.2084i | 0.490747 | + | 0.749232i | ||||
\(469\) | 0.587373 | + | 2.58120i | 0.0271224 | + | 0.119189i | ||||
\(470\) | −3.08545 | − | 5.34416i | −0.142321 | − | 0.246508i | ||||
\(471\) | −18.8408 | −0.868138 | ||||||||
\(472\) | −75.8322 | −3.49046 | ||||||||
\(473\) | −4.55596 | − | 7.89115i | −0.209483 | − | 0.362835i | ||||
\(474\) | −1.74624 | − | 3.02457i | −0.0802073 | − | 0.138923i | ||||
\(475\) | −8.57314 | + | 14.8491i | −0.393363 | + | 0.681324i | ||||
\(476\) | −43.7136 | + | 40.5073i | −2.00361 | + | 1.85665i | ||||
\(477\) | 3.04896 | − | 5.28096i | 0.139602 | − | 0.241799i | ||||
\(478\) | −25.2080 | −1.15299 | ||||||||
\(479\) | 16.1727 | − | 28.0119i | 0.738949 | − | 1.27990i | −0.214020 | − | 0.976829i | \(-0.568656\pi\) |
0.952969 | − | 0.303068i | \(-0.0980108\pi\) | |||||||
\(480\) | −38.9770 | − | 67.5101i | −1.77905 | − | 3.08140i | ||||
\(481\) | −2.48116 | + | 0.139796i | −0.113131 | + | 0.00637414i | ||||
\(482\) | 40.1604 | 1.82926 | ||||||||
\(483\) | 0.464604 | + | 2.04169i | 0.0211402 | + | 0.0929002i | ||||
\(484\) | 22.4029 | + | 38.8030i | 1.01832 | + | 1.76377i | ||||
\(485\) | −19.7828 | − | 34.2648i | −0.898290 | − | 1.55588i | ||||
\(486\) | 1.35774 | + | 2.35168i | 0.0615885 | + | 0.106674i | ||||
\(487\) | 33.1101 | 1.50036 | 0.750182 | − | 0.661232i | \(-0.229966\pi\) | ||||
0.750182 | + | 0.661232i | \(0.229966\pi\) | |||||||
\(488\) | −41.6167 | − | 72.0822i | −1.88390 | − | 3.26301i | ||||
\(489\) | −24.4471 | −1.10554 | ||||||||
\(490\) | 61.0128 | + | 41.7144i | 2.75628 | + | 1.88446i | ||||
\(491\) | 5.01799 | + | 8.69141i | 0.226459 | + | 0.392238i | 0.956756 | − | 0.290891i | \(-0.0939518\pi\) |
−0.730297 | + | 0.683129i | \(0.760618\pi\) | |||||||
\(492\) | −31.9144 | −1.43881 | ||||||||
\(493\) | 1.01619 | + | 1.76010i | 0.0457670 | + | 0.0792708i | ||||
\(494\) | −9.09056 | − | 13.8787i | −0.409004 | − | 0.624433i | ||||
\(495\) | −3.17214 | + | 5.49431i | −0.142577 | + | 0.246951i | ||||
\(496\) | −12.9351 | − | 22.4042i | −0.580801 | − | 1.00598i | ||||
\(497\) | −9.31914 | − | 40.9528i | −0.418021 | − | 1.83698i | ||||
\(498\) | −8.39361 | + | 14.5382i | −0.376126 | + | 0.651470i | ||||
\(499\) | −10.4771 | + | 18.1469i | −0.469021 | + | 0.812369i | −0.999373 | − | 0.0354090i | \(-0.988727\pi\) |
0.530352 | + | 0.847778i | \(0.322060\pi\) | |||||||
\(500\) | −106.953 | −4.78310 | ||||||||
\(501\) | 8.56964 | 0.382863 | ||||||||
\(502\) | −13.0513 | + | 22.6056i | −0.582509 | + | 1.00894i | ||||
\(503\) | 18.5489 | − | 32.1277i | 0.827056 | − | 1.43250i | −0.0732818 | − | 0.997311i | \(-0.523347\pi\) |
0.900338 | − | 0.435192i | \(-0.143319\pi\) | |||||||
\(504\) | 23.1581 | + | 7.15984i | 1.03154 | + | 0.318925i | ||||
\(505\) | 27.5539 | + | 47.7248i | 1.22613 | + | 2.12372i | ||||
\(506\) | −1.75327 | + | 3.03675i | −0.0779424 | + | 0.135000i | ||||
\(507\) | −5.19422 | + | 11.9172i | −0.230684 | + | 0.529262i | ||||
\(508\) | 10.1303 | + | 17.5462i | 0.449460 | + | 0.778488i | ||||
\(509\) | 7.42063 | 0.328913 | 0.164457 | − | 0.986384i | \(-0.447413\pi\) | ||||
0.164457 | + | 0.986384i | \(0.447413\pi\) | |||||||
\(510\) | 22.1287 | + | 38.3281i | 0.979877 | + | 1.69720i | ||||
\(511\) | −14.7934 | − | 4.57371i | −0.654421 | − | 0.202329i | ||||
\(512\) | −24.3770 | −1.07732 | ||||||||
\(513\) | −0.847266 | − | 1.46751i | −0.0374077 | − | 0.0647920i | ||||
\(514\) | −13.7289 | −0.605554 | ||||||||
\(515\) | 3.46513 | + | 6.00177i | 0.152692 | + | 0.264470i | ||||
\(516\) | 15.0051 | + | 25.9897i | 0.660565 | + | 1.14413i | ||||
\(517\) | 0.476806 | + | 0.825852i | 0.0209699 | + | 0.0363209i | ||||
\(518\) | −3.63216 | + | 3.36576i | −0.159588 | + | 0.147883i | ||||
\(519\) | 7.68079 | 0.337149 | ||||||||
\(520\) | 57.8616 | − | 114.670i | 2.53740 | − | 5.02860i | ||||
\(521\) | −4.32959 | − | 7.49907i | −0.189683 | − | 0.328540i | 0.755462 | − | 0.655193i | \(-0.227413\pi\) |
−0.945144 | + | 0.326653i | \(0.894079\pi\) | |||||||
\(522\) | 0.658326 | − | 1.14025i | 0.0288142 | − | 0.0499076i | ||||
\(523\) | −22.0580 | −0.964530 | −0.482265 | − | 0.876025i | \(-0.660186\pi\) | ||||
−0.482265 | + | 0.876025i | \(0.660186\pi\) | |||||||
\(524\) | 48.4082 | − | 83.8455i | 2.11472 | − | 3.66281i | ||||
\(525\) | 19.6366 | − | 18.1963i | 0.857012 | − | 0.794152i | ||||
\(526\) | 31.7084 | − | 54.9206i | 1.38255 | − | 2.39465i | ||||
\(527\) | 3.83694 | + | 6.64578i | 0.167140 | + | 0.289495i | ||||
\(528\) | 11.5282 | + | 19.9675i | 0.501702 | + | 0.868974i | ||||
\(529\) | −22.3737 | −0.972768 | ||||||||
\(530\) | −64.3852 | −2.79671 | ||||||||
\(531\) | −4.13854 | − | 7.16816i | −0.179597 | − | 0.311072i | ||||
\(532\) | −23.0177 | − | 7.11645i | −0.997945 | − | 0.308537i | ||||
\(533\) | −11.7326 | − | 17.9123i | −0.508194 | − | 0.775868i | ||||
\(534\) | −5.98587 | + | 10.3678i | −0.259034 | + | 0.448660i | ||||
\(535\) | 37.3574 | − | 64.7049i | 1.61510 | − | 2.79744i | ||||
\(536\) | 4.58334 | − | 7.93858i | 0.197970 | − | 0.342894i | ||||
\(537\) | −4.87194 | − | 8.43845i | −0.210240 | − | 0.364146i | ||||
\(538\) | 85.2430 | 3.67509 | ||||||||
\(539\) | −9.42853 | − | 6.44627i | −0.406116 | − | 0.277661i | ||||
\(540\) | 10.4475 | − | 18.0956i | 0.449590 | − | 0.778712i | ||||
\(541\) | 1.78963 | − | 3.09972i | 0.0769421 | − | 0.133268i | −0.824987 | − | 0.565152i | \(-0.808818\pi\) |
0.901929 | + | 0.431884i | \(0.142151\pi\) | |||||||
\(542\) | 30.7673 | 1.32157 | ||||||||
\(543\) | 3.11850 | − | 5.40139i | 0.133828 | − | 0.231796i | ||||
\(544\) | 84.0360 | 3.60302 | ||||||||
\(545\) | −41.5972 | −1.78183 | ||||||||
\(546\) | 7.15953 | + | 24.8951i | 0.306400 | + | 1.06541i | ||||
\(547\) | −11.6996 | −0.500238 | −0.250119 | − | 0.968215i | \(-0.580470\pi\) | ||||
−0.250119 | + | 0.968215i | \(0.580470\pi\) | |||||||
\(548\) | 117.135 | 5.00377 | ||||||||
\(549\) | 4.54246 | − | 7.86777i | 0.193867 | − | 0.335788i | ||||
\(550\) | 44.8327 | 1.91167 | ||||||||
\(551\) | −0.410812 | + | 0.711547i | −0.0175012 | + | 0.0303129i | ||||
\(552\) | 3.62536 | − | 6.27931i | 0.154306 | − | 0.267265i | ||||
\(553\) | −0.755029 | − | 3.31796i | −0.0321071 | − | 0.141094i | ||||
\(554\) | −48.6686 | −2.06773 | ||||||||
\(555\) | 1.33998 | + | 2.32091i | 0.0568788 | + | 0.0985171i | ||||
\(556\) | 1.91300 | − | 3.31340i | 0.0811291 | − | 0.140520i | ||||
\(557\) | −8.08689 | + | 14.0069i | −0.342653 | + | 0.593492i | −0.984924 | − | 0.172985i | \(-0.944659\pi\) |
0.642272 | + | 0.766477i | \(0.277992\pi\) | |||||||
\(558\) | 2.48571 | − | 4.30537i | 0.105228 | − | 0.182261i | ||||
\(559\) | −9.07070 | + | 17.9763i | −0.383650 | + | 0.760315i | ||||
\(560\) | −32.2553 | − | 141.745i | −1.36303 | − | 5.98982i | ||||
\(561\) | −3.41964 | − | 5.92298i | −0.144377 | − | 0.250069i | ||||
\(562\) | 31.5462 | 1.33070 | ||||||||
\(563\) | −24.7715 | −1.04400 | −0.521998 | − | 0.852947i | \(-0.674813\pi\) | ||||
−0.521998 | + | 0.852947i | \(0.674813\pi\) | |||||||
\(564\) | −1.57037 | − | 2.71996i | −0.0661246 | − | 0.114531i | ||||
\(565\) | 14.8642 | + | 25.7456i | 0.625342 | + | 1.08312i | ||||
\(566\) | −10.9868 | + | 19.0296i | −0.461808 | + | 0.799875i | ||||
\(567\) | 0.587055 | + | 2.57980i | 0.0246540 | + | 0.108341i | ||||
\(568\) | −72.7184 | + | 125.952i | −3.05119 | + | 5.28482i | ||||
\(569\) | 33.4519 | 1.40238 | 0.701189 | − | 0.712975i | \(-0.252653\pi\) | ||||
0.701189 | + | 0.712975i | \(0.252653\pi\) | |||||||
\(570\) | −8.94588 | + | 15.4947i | −0.374702 | + | 0.649003i | ||||
\(571\) | −6.32788 | − | 10.9602i | −0.264814 | − | 0.458671i | 0.702701 | − | 0.711485i | \(-0.251977\pi\) |
−0.967515 | + | 0.252815i | \(0.918644\pi\) | |||||||
\(572\) | −14.2420 | + | 28.2248i | −0.595490 | + | 1.18014i | ||||
\(573\) | 3.04764 | 0.127317 | ||||||||
\(574\) | −40.7636 | − | 12.6030i | −1.70144 | − | 0.526039i | ||||
\(575\) | −4.00400 | − | 6.93514i | −0.166979 | − | 0.289215i | ||||
\(576\) | −13.0900 | − | 22.6725i | −0.545416 | − | 0.944689i | ||||
\(577\) | 10.9471 | + | 18.9609i | 0.455733 | + | 0.789352i | 0.998730 | − | 0.0503824i | \(-0.0160440\pi\) |
−0.542997 | + | 0.839734i | \(0.682711\pi\) | |||||||
\(578\) | −1.54720 | −0.0643550 | ||||||||
\(579\) | −4.49172 | − | 7.77988i | −0.186669 | − | 0.323321i | ||||
\(580\) | −10.1313 | −0.420681 | ||||||||
\(581\) | −11.9971 | + | 11.1172i | −0.497724 | + | 0.461217i | ||||
\(582\) | −13.8159 | − | 23.9299i | −0.572688 | − | 0.991924i | ||||
\(583\) | 9.94968 | 0.412074 | ||||||||
\(584\) | 26.8095 | + | 46.4355i | 1.10939 | + | 1.92151i | ||||
\(585\) | 13.9971 | − | 0.788639i | 0.578710 | − | 0.0326062i | ||||
\(586\) | 24.1919 | − | 41.9016i | 0.999359 | − | 1.73094i | ||||
\(587\) | 20.0260 | + | 34.6860i | 0.826561 | + | 1.43164i | 0.900721 | + | 0.434399i | \(0.143039\pi\) |
−0.0741601 | + | 0.997246i | \(0.523628\pi\) | |||||||
\(588\) | 31.0531 | + | 21.2310i | 1.28061 | + | 0.875550i | ||||
\(589\) | −1.55114 | + | 2.68666i | −0.0639137 | + | 0.110702i | ||||
\(590\) | −43.6969 | + | 75.6852i | −1.79897 | + | 3.11591i | ||||
\(591\) | 16.8595 | 0.693509 | ||||||||
\(592\) | 9.73952 | 0.400292 | ||||||||
\(593\) | 5.18181 | − | 8.97516i | 0.212791 | − | 0.368566i | −0.739796 | − | 0.672832i | \(-0.765078\pi\) |
0.952587 | + | 0.304266i | \(0.0984112\pi\) | |||||||
\(594\) | −2.21536 | + | 3.83712i | −0.0908974 | + | 0.157439i | ||||
\(595\) | 9.56792 | + | 42.0460i | 0.392246 | + | 1.72372i | ||||
\(596\) | 15.0275 | + | 26.0284i | 0.615551 | + | 1.06617i | ||||
\(597\) | 1.02262 | − | 1.77124i | 0.0418532 | − | 0.0724919i | ||||
\(598\) | 7.73634 | − | 0.435888i | 0.316362 | − | 0.0178248i | ||||
\(599\) | 6.86263 | + | 11.8864i | 0.280400 | + | 0.485666i | 0.971483 | − | 0.237108i | \(-0.0761997\pi\) |
−0.691084 | + | 0.722775i | \(0.742866\pi\) | |||||||
\(600\) | −92.7037 | −3.78461 | ||||||||
\(601\) | −0.234944 | − | 0.406935i | −0.00958356 | − | 0.0165992i | 0.861194 | − | 0.508277i | \(-0.169717\pi\) |
−0.870777 | + | 0.491677i | \(0.836384\pi\) | |||||||
\(602\) | 8.90244 | + | 39.1216i | 0.362836 | + | 1.59448i | ||||
\(603\) | 1.00054 | 0.0407452 | ||||||||
\(604\) | 26.8542 | + | 46.5128i | 1.09268 | + | 1.89258i | ||||
\(605\) | 32.4193 | 1.31803 | ||||||||
\(606\) | 19.2431 | + | 33.3300i | 0.781698 | + | 1.35394i | ||||
\(607\) | −11.5258 | − | 19.9633i | −0.467819 | − | 0.810287i | 0.531504 | − | 0.847056i | \(-0.321627\pi\) |
−0.999324 | + | 0.0367685i | \(0.988294\pi\) | |||||||
\(608\) | 16.9864 | + | 29.4214i | 0.688891 | + | 1.19319i | ||||
\(609\) | 0.940956 | − | 0.871940i | 0.0381295 | − | 0.0353328i | ||||
\(610\) | −95.9234 | −3.88382 | ||||||||
\(611\) | 0.949298 | − | 1.88131i | 0.0384045 | − | 0.0761098i | ||||
\(612\) | 11.2626 | + | 19.5075i | 0.455266 | + | 0.788543i | ||||
\(613\) | −17.4005 | + | 30.1386i | −0.702801 | + | 1.21729i | 0.264678 | + | 0.964337i | \(0.414734\pi\) |
−0.967479 | + | 0.252951i | \(0.918599\pi\) | |||||||
\(614\) | −43.8912 | −1.77130 | ||||||||
\(615\) | −11.5458 | + | 19.9980i | −0.465573 | + | 0.806396i | ||||
\(616\) | 8.77571 | + | 38.5647i | 0.353583 | + | 1.55381i | ||||
\(617\) | 15.9481 | − | 27.6229i | 0.642045 | − | 1.11205i | −0.342931 | − | 0.939361i | \(-0.611420\pi\) |
0.984976 | − | 0.172694i | \(-0.0552470\pi\) | |||||||
\(618\) | 2.41998 | + | 4.19152i | 0.0973457 | + | 0.168608i | ||||
\(619\) | −11.1376 | − | 19.2910i | −0.447660 | − | 0.775369i | 0.550574 | − | 0.834787i | \(-0.314409\pi\) |
−0.998233 | + | 0.0594173i | \(0.981076\pi\) | |||||||
\(620\) | −38.2539 | −1.53631 | ||||||||
\(621\) | 0.791415 | 0.0317584 | ||||||||
\(622\) | −24.6062 | − | 42.6193i | −0.986621 | − | 1.70888i | ||||
\(623\) | −8.55569 | + | 7.92816i | −0.342777 | + | 0.317635i | ||||
\(624\) | 22.9522 | − | 45.4865i | 0.918823 | − | 1.82092i | ||||
\(625\) | −13.3965 | + | 23.2034i | −0.535860 | + | 0.928137i | ||||
\(626\) | −34.7767 | + | 60.2349i | −1.38996 | + | 2.40747i | ||||
\(627\) | 1.38244 | − | 2.39446i | 0.0552094 | − | 0.0956254i | ||||
\(628\) | 50.6240 | + | 87.6834i | 2.02012 | + | 3.49895i | ||||
\(629\) | −2.88905 | −0.115194 | ||||||||
\(630\) | 20.4904 | − | 18.9875i | 0.816356 | − | 0.756478i | ||||
\(631\) | 23.9160 | − | 41.4237i | 0.952081 | − | 1.64905i | 0.211171 | − | 0.977449i | \(-0.432272\pi\) |
0.740910 | − | 0.671604i | \(-0.234394\pi\) | |||||||
\(632\) | −5.89158 | + | 10.2045i | −0.234355 | + | 0.405914i | ||||
\(633\) | −24.6765 | −0.980803 | ||||||||
\(634\) | −37.2846 | + | 64.5789i | −1.48076 | + | 2.56475i | ||||
\(635\) | 14.6596 | 0.581747 | ||||||||
\(636\) | −32.7695 | −1.29940 | ||||||||
\(637\) | −0.500181 | + | 25.2339i | −0.0198179 | + | 0.999804i | ||||
\(638\) | 2.14832 | 0.0850526 | ||||||||
\(639\) | −15.8744 | −0.627982 | ||||||||
\(640\) | −60.2571 | + | 104.368i | −2.38187 | + | 4.12552i | ||||
\(641\) | −14.6228 | −0.577565 | −0.288783 | − | 0.957395i | \(-0.593250\pi\) | ||||
−0.288783 | + | 0.957395i | \(0.593250\pi\) | |||||||
\(642\) | 26.0897 | − | 45.1886i | 1.02968 | − | 1.78345i | ||||
\(643\) | −17.9675 | + | 31.1207i | −0.708570 | + | 1.22728i | 0.256818 | + | 0.966460i | \(0.417326\pi\) |
−0.965388 | + | 0.260819i | \(0.916007\pi\) | |||||||
\(644\) | 8.25349 | − | 7.64812i | 0.325233 | − | 0.301378i | ||||
\(645\) | 21.7139 | 0.854985 | ||||||||
\(646\) | −9.64385 | − | 16.7036i | −0.379432 | − | 0.657196i | ||||
\(647\) | 15.2232 | − | 26.3674i | 0.598487 | − | 1.03661i | −0.394558 | − | 0.918871i | \(-0.629102\pi\) |
0.993045 | − | 0.117738i | \(-0.0375643\pi\) | |||||||
\(648\) | 4.58086 | − | 7.93428i | 0.179953 | − | 0.311688i | ||||
\(649\) | 6.75264 | − | 11.6959i | 0.265064 | − | 0.459105i | ||||
\(650\) | −54.2827 | − | 82.8743i | −2.12914 | − | 3.25060i | ||||
\(651\) | 3.55286 | − | 3.29227i | 0.139248 | − | 0.129034i | ||||
\(652\) | 65.6879 | + | 113.775i | 2.57253 | + | 4.45576i | ||||
\(653\) | 30.3431 | 1.18742 | 0.593709 | − | 0.804680i | \(-0.297663\pi\) | ||||
0.593709 | + | 0.804680i | \(0.297663\pi\) | |||||||
\(654\) | −29.0507 | −1.13597 | ||||||||
\(655\) | −35.0257 | − | 60.6664i | −1.36857 | − | 2.37043i | ||||
\(656\) | 41.9600 | + | 72.6769i | 1.63826 | + | 2.83756i | ||||
\(657\) | −2.92626 | + | 5.06843i | −0.114164 | + | 0.197738i | ||||
\(658\) | −0.931690 | − | 4.09429i | −0.0363210 | − | 0.159612i | ||||
\(659\) | −18.9462 | + | 32.8157i | −0.738038 | + | 1.27832i | 0.215339 | + | 0.976539i | \(0.430914\pi\) |
−0.953377 | + | 0.301781i | \(0.902419\pi\) | |||||||
\(660\) | 34.0934 | 1.32708 | ||||||||
\(661\) | −5.47928 | + | 9.49040i | −0.213119 | + | 0.369134i | −0.952689 | − | 0.303946i | \(-0.901696\pi\) |
0.739570 | + | 0.673080i | \(0.235029\pi\) | |||||||
\(662\) | 9.43802 | + | 16.3471i | 0.366819 | + | 0.635349i | ||||
\(663\) | −6.80834 | + | 13.4927i | −0.264414 | + | 0.524014i | ||||
\(664\) | 56.6379 | 2.19798 | ||||||||
\(665\) | −12.7865 | + | 11.8486i | −0.495839 | + | 0.459471i | ||||
\(666\) | 0.935814 | + | 1.62088i | 0.0362620 | + | 0.0628077i | ||||
\(667\) | −0.191866 | − | 0.332321i | −0.00742907 | − | 0.0128675i | ||||
\(668\) | −23.0261 | − | 39.8823i | −0.890906 | − | 1.54309i | ||||
\(669\) | 17.9919 | 0.695607 | ||||||||
\(670\) | −5.28213 | − | 9.14892i | −0.204066 | − | 0.353453i | ||||
\(671\) | 14.8234 | 0.572251 | ||||||||
\(672\) | −11.7696 | − | 51.7212i | −0.454022 | − | 1.99519i | ||||
\(673\) | −11.7007 | − | 20.2661i | −0.451027 | − | 0.781202i | 0.547423 | − | 0.836856i | \(-0.315609\pi\) |
−0.998450 | + | 0.0556538i | \(0.982276\pi\) | |||||||
\(674\) | −78.8864 | −3.03859 | ||||||||
\(675\) | −5.05930 | − | 8.76296i | −0.194732 | − | 0.337287i | ||||
\(676\) | 69.4182 | − | 7.84736i | 2.66993 | − | 0.301822i | ||||
\(677\) | −4.05218 | + | 7.01858i | −0.155738 | + | 0.269746i | −0.933327 | − | 0.359026i | \(-0.883109\pi\) |
0.777590 | + | 0.628772i | \(0.216442\pi\) | |||||||
\(678\) | 10.3809 | + | 17.9802i | 0.398675 | + | 0.690525i | ||||
\(679\) | −5.97365 | − | 26.2511i | −0.229248 | − | 1.00742i | ||||
\(680\) | 74.6596 | − | 129.314i | 2.86306 | − | 4.95897i | ||||
\(681\) | 4.17286 | − | 7.22761i | 0.159904 | − | 0.276963i | ||||
\(682\) | 8.11161 | 0.310609 | ||||||||
\(683\) | 0.681766 | 0.0260870 | 0.0130435 | − | 0.999915i | \(-0.495848\pi\) | ||||
0.0130435 | + | 0.999915i | \(0.495848\pi\) | |||||||
\(684\) | −4.55310 | + | 7.88620i | −0.174092 | + | 0.301536i | ||||
\(685\) | 42.3765 | − | 73.3983i | 1.61912 | − | 2.80441i | ||||
\(686\) | 31.2794 | + | 39.3807i | 1.19425 | + | 1.50356i | ||||
\(687\) | −11.1172 | − | 19.2556i | −0.424148 | − | 0.734647i | ||||
\(688\) | 39.4565 | − | 68.3407i | 1.50427 | − | 2.60547i | ||||
\(689\) | −12.0469 | − | 18.3922i | −0.458950 | − | 0.700688i | ||||
\(690\) | −4.17809 | − | 7.23666i | −0.159057 | − | 0.275495i | ||||
\(691\) | 41.9339 | 1.59524 | 0.797620 | − | 0.603161i | \(-0.206092\pi\) | ||||
0.797620 | + | 0.603161i | \(0.206092\pi\) | |||||||
\(692\) | −20.6378 | − | 35.7457i | −0.784532 | − | 1.35885i | ||||
\(693\) | −3.16645 | + | 2.93420i | −0.120284 | + | 0.111461i | ||||
\(694\) | −13.8720 | −0.526572 | ||||||||
\(695\) | −1.38415 | − | 2.39741i | −0.0525037 | − | 0.0909390i | ||||
\(696\) | −4.44222 | −0.168382 | ||||||||
\(697\) | −12.4467 | − | 21.5582i | −0.471451 | − | 0.816577i | ||||
\(698\) | −33.2430 | − | 57.5786i | −1.25827 | − | 2.17938i | ||||
\(699\) | 2.50918 | + | 4.34602i | 0.0949057 | + | 0.164382i | ||||
\(700\) | −137.446 | − | 42.4947i | −5.19498 | − | 1.60615i | ||||
\(701\) | 5.85701 | 0.221216 | 0.110608 | − | 0.993864i | \(-0.464720\pi\) | ||||
0.110608 | + | 0.993864i | \(0.464720\pi\) | |||||||
\(702\) | 9.77533 | − | 0.550770i | 0.368946 | − | 0.0207875i | ||||
\(703\) | −0.583971 | − | 1.01147i | −0.0220249 | − | 0.0381482i | ||||
\(704\) | 21.3583 | − | 36.9936i | 0.804970 | − | 1.39425i | ||||
\(705\) | −2.27248 | −0.0855867 | ||||||||
\(706\) | 5.62350 | − | 9.74019i | 0.211643 | − | 0.366577i | ||||
\(707\) | 8.32024 | + | 36.5631i | 0.312915 | + | 1.37510i | ||||
\(708\) | −22.2400 | + | 38.5208i | −0.835830 | + | 1.44770i | ||||
\(709\) | 7.31760 | + | 12.6745i | 0.274818 | + | 0.475999i | 0.970089 | − | 0.242748i | \(-0.0780489\pi\) |
−0.695271 | + | 0.718748i | \(0.744716\pi\) | |||||||
\(710\) | 83.8052 | + | 145.155i | 3.14515 | + | 5.44756i | ||||
\(711\) | −1.28613 | −0.0482337 | ||||||||
\(712\) | 40.3911 | 1.51372 | ||||||||
\(713\) | −0.724447 | − | 1.25478i | −0.0271307 | − | 0.0469918i | ||||
\(714\) | 6.68205 | + | 29.3641i | 0.250069 | + | 1.09892i | ||||
\(715\) | 12.5336 | + | 19.1353i | 0.468730 | + | 0.715618i | ||||
\(716\) | −26.1812 | + | 45.3472i | −0.978438 | + | 1.69470i | ||||
\(717\) | −4.64152 | + | 8.03935i | −0.173341 | + | 0.300235i | ||||
\(718\) | −17.5151 | + | 30.3370i | −0.653657 | + | 1.13217i | ||||
\(719\) | −4.80565 | − | 8.32363i | −0.179220 | − | 0.310419i | 0.762393 | − | 0.647114i | \(-0.224024\pi\) |
−0.941614 | + | 0.336695i | \(0.890691\pi\) | |||||||
\(720\) | −54.9442 | −2.04765 | ||||||||
\(721\) | 1.04634 | + | 4.59811i | 0.0389676 | + | 0.171243i | ||||
\(722\) | −21.8985 | + | 37.9292i | −0.814976 | + | 1.41158i | ||||
\(723\) | 7.39469 | − | 12.8080i | 0.275012 | − | 0.476334i | ||||
\(724\) | −33.5168 | −1.24564 | ||||||||
\(725\) | −2.45309 | + | 4.24888i | −0.0911055 | + | 0.157799i | ||||
\(726\) | 22.6410 | 0.840286 | ||||||||
\(727\) | −42.7269 | −1.58465 | −0.792327 | − | 0.610097i | \(-0.791131\pi\) | ||||
−0.792327 | + | 0.610097i | \(0.791131\pi\) | |||||||
\(728\) | 60.6622 | − | 62.9155i | 2.24829 | − | 2.33181i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 61.7940 | 2.28710 | ||||||||
\(731\) | −11.7040 | + | 20.2720i | −0.432890 | + | 0.749787i | ||||
\(732\) | −48.8212 | −1.80448 | ||||||||
\(733\) | 4.17505 | − | 7.23139i | 0.154209 | − | 0.267098i | −0.778562 | − | 0.627568i | \(-0.784050\pi\) |
0.932771 | + | 0.360470i | \(0.117384\pi\) | |||||||
\(734\) | 10.0008 | − | 17.3219i | 0.369137 | − | 0.639364i | ||||
\(735\) | 24.5378 | − | 11.7774i | 0.905090 | − | 0.434417i | ||||
\(736\) | −15.8667 | −0.584854 | ||||||||
\(737\) | 0.816267 | + | 1.41382i | 0.0300676 | + | 0.0520786i | ||||
\(738\) | −8.06339 | + | 13.9662i | −0.296817 | + | 0.514103i | ||||
\(739\) | −14.5181 | + | 25.1461i | −0.534056 | + | 0.925013i | 0.465152 | + | 0.885231i | \(0.346000\pi\) |
−0.999208 | + | 0.0397818i | \(0.987334\pi\) | |||||||
\(740\) | 7.20087 | − | 12.4723i | 0.264709 | − | 0.458490i | ||||
\(741\) | −6.10005 | + | 0.343694i | −0.224091 | + | 0.0126259i | ||||
\(742\) | −41.8558 | − | 12.9407i | −1.53657 | − | 0.475067i | ||||
\(743\) | −12.5402 | − | 21.7202i | −0.460055 | − | 0.796838i | 0.538909 | − | 0.842364i | \(-0.318837\pi\) |
−0.998963 | + | 0.0455263i | \(0.985504\pi\) | |||||||
\(744\) | −16.7729 | −0.614926 | ||||||||
\(745\) | 21.7463 | 0.796723 | ||||||||
\(746\) | −32.1199 | − | 55.6332i | −1.17599 | − | 2.03688i | ||||
\(747\) | 3.09101 | + | 5.35379i | 0.113094 | + | 0.195885i | ||||
\(748\) | −18.3767 | + | 31.8294i | −0.671918 | + | 1.16380i | ||||
\(749\) | 37.2904 | − | 34.5552i | 1.36256 | − | 1.26262i | ||||
\(750\) | −27.0224 | + | 46.8042i | −0.986720 | + | 1.70905i | ||||
\(751\) | 0.357389 | 0.0130413 | 0.00652065 | − | 0.999979i | \(-0.497924\pi\) | ||||
0.00652065 | + | 0.999979i | \(0.497924\pi\) | |||||||
\(752\) | −4.12934 | + | 7.15223i | −0.150582 | + | 0.260815i | ||||
\(753\) | 4.80626 | + | 8.32468i | 0.175150 | + | 0.303368i | ||||
\(754\) | −2.60114 | − | 3.97121i | −0.0947281 | − | 0.144623i | ||||
\(755\) | 38.8607 | 1.41429 | ||||||||
\(756\) | 10.4288 | − | 9.66386i | 0.379291 | − | 0.351471i | ||||
\(757\) | −25.0343 | − | 43.3607i | −0.909888 | − | 1.57597i | −0.814219 | − | 0.580558i | \(-0.802834\pi\) |
−0.0956688 | − | 0.995413i | \(-0.530499\pi\) | |||||||
\(758\) | 13.9214 | + | 24.1126i | 0.505649 | + | 0.875810i | ||||
\(759\) | 0.645656 | + | 1.11831i | 0.0234358 | + | 0.0405920i | ||||
\(760\) | 60.3646 | 2.18965 | ||||||||
\(761\) | 4.41889 | + | 7.65375i | 0.160185 | + | 0.277448i | 0.934935 | − | 0.354819i | \(-0.115458\pi\) |
−0.774750 | + | 0.632268i | \(0.782124\pi\) | |||||||
\(762\) | 10.2380 | 0.370882 | ||||||||
\(763\) | −27.0417 | − | 8.36055i | −0.978975 | − | 0.302672i | ||||
\(764\) | −8.18882 | − | 14.1835i | −0.296261 | − | 0.513139i | ||||
\(765\) | 16.2982 | 0.589261 | ||||||||
\(766\) | −26.2479 | − | 45.4626i | −0.948374 | − | 1.64263i | ||||
\(767\) | −29.7962 | + | 1.67880i | −1.07588 | + | 0.0606180i | ||||
\(768\) | −15.9024 | + | 27.5438i | −0.573829 | + | 0.993902i | ||||
\(769\) | −13.9753 | − | 24.2059i | −0.503962 | − | 0.872887i | −0.999990 | − | 0.00458075i | \(-0.998542\pi\) |
0.496028 | − | 0.868307i | \(-0.334791\pi\) | |||||||
\(770\) | 43.5468 | + | 13.4635i | 1.56932 | + | 0.485190i | ||||
\(771\) | −2.52788 | + | 4.37842i | −0.0910394 | + | 0.157685i | ||||
\(772\) | −24.1379 | + | 41.8081i | −0.868743 | + | 1.50471i | ||||
\(773\) | −30.7833 | −1.10720 | −0.553600 | − | 0.832783i | \(-0.686746\pi\) | ||||
−0.553600 | + | 0.832783i | \(0.686746\pi\) | |||||||
\(774\) | 15.1646 | 0.545080 | ||||||||
\(775\) | −9.26238 | + | 16.0429i | −0.332714 | + | 0.576278i | ||||
\(776\) | −46.6131 | + | 80.7363i | −1.67331 | + | 2.89827i | ||||
\(777\) | 0.404623 | + | 1.77811i | 0.0145158 | + | 0.0637892i | ||||
\(778\) | 16.1809 | + | 28.0262i | 0.580115 | + | 1.00479i | ||||
\(779\) | 5.03175 | − | 8.71525i | 0.180281 | − | 0.312256i | ||||
\(780\) | −41.2797 | − | 63.0224i | −1.47805 | − | 2.25656i | ||||
\(781\) | −12.9507 | − | 22.4313i | −0.463413 | − | 0.802656i | ||||
\(782\) | 9.00814 | 0.322130 | ||||||||
\(783\) | −0.242434 | − | 0.419908i | −0.00866388 | − | 0.0150063i | ||||
\(784\) | 7.52046 | − | 98.6292i | 0.268588 | − | 3.52247i | ||||
\(785\) | 73.2579 | 2.61469 | ||||||||
\(786\) | −24.4613 | − | 42.3682i | −0.872506 | − | 1.51122i | ||||
\(787\) | 44.3310 | 1.58023 | 0.790114 | − | 0.612959i | \(-0.210021\pi\) | ||||
0.790114 | + | 0.612959i | \(0.210021\pi\) | |||||||
\(788\) | −45.3005 | − | 78.4628i | −1.61376 | − | 2.79512i | ||||
\(789\) | −11.6769 | − | 20.2250i | −0.415708 | − | 0.720027i | ||||
\(790\) | 6.78983 | + | 11.7603i | 0.241571 | + | 0.418414i | ||||
\(791\) | 4.48843 | + | 19.7243i | 0.159590 | + | 0.701316i | ||||
\(792\) | 14.9487 | 0.531179 | ||||||||
\(793\) | −17.9479 | − | 27.4014i | −0.637349 | − | 0.973052i | ||||
\(794\) | 1.31323 | + | 2.27458i | 0.0466047 | + | 0.0807217i | ||||
\(795\) | −11.8552 | + | 20.5338i | −0.420460 | + | 0.728258i | ||||
\(796\) | −10.9909 | −0.389562 | ||||||||
\(797\) | 2.40661 | − | 4.16837i | 0.0852464 | − | 0.147651i | −0.820250 | − | 0.572005i | \(-0.806166\pi\) |
0.905496 | + | 0.424354i | \(0.139499\pi\) | |||||||
\(798\) | −8.92984 | + | 8.27486i | −0.316113 | + | 0.292927i | ||||
\(799\) | 1.22489 | − | 2.12158i | 0.0433336 | − | 0.0750560i | ||||
\(800\) | 101.431 | + | 175.684i | 3.58614 | + | 6.21138i | ||||
\(801\) | 2.20434 | + | 3.81803i | 0.0778866 | + | 0.134904i | ||||
\(802\) | 63.7448 | 2.25091 | ||||||||
\(803\) | −9.54925 | −0.336986 | ||||||||
\(804\) | −2.68839 | − | 4.65644i | −0.0948124 | − | 0.164220i | ||||
\(805\) | −1.80650 | − | 7.93864i | −0.0636708 | − | 0.279800i | ||||
\(806\) | −9.82139 | − | 14.9945i | −0.345944 | − | 0.528159i | ||||
\(807\) | 15.6957 | − | 27.1858i | 0.552515 | − | 0.956984i | ||||
\(808\) | 64.9238 | − | 112.451i | 2.28401 | − | 3.95603i | ||||
\(809\) | −3.98543 | + | 6.90297i | −0.140120 | + | 0.242696i | −0.927542 | − | 0.373719i | \(-0.878082\pi\) |
0.787421 | + | 0.616415i | \(0.211416\pi\) | |||||||
\(810\) | −5.27927 | − | 9.14396i | −0.185495 | − | 0.321286i | ||||
\(811\) | −41.5780 | −1.46000 | −0.730000 | − | 0.683447i | \(-0.760480\pi\) | ||||
−0.730000 | + | 0.683447i | \(0.760480\pi\) | |||||||
\(812\) | −6.58622 | − | 2.03628i | −0.231131 | − | 0.0714594i | ||||
\(813\) | 5.66515 | − | 9.81233i | 0.198686 | − | 0.344134i | ||||
\(814\) | −1.52692 | + | 2.64470i | −0.0535185 | + | 0.0926968i | ||||
\(815\) | 95.0568 | 3.32970 | ||||||||
\(816\) | 29.6155 | − | 51.2956i | 1.03675 | − | 1.79570i | ||||
\(817\) | −9.46308 | −0.331071 | ||||||||
\(818\) | 51.6804 | 1.80696 | ||||||||
\(819\) | 9.25783 | + | 2.30058i | 0.323495 | + | 0.0803887i | ||||
\(820\) | 124.092 | 4.33347 | ||||||||
\(821\) | −10.5631 | −0.368656 | −0.184328 | − | 0.982865i | \(-0.559011\pi\) | ||||
−0.184328 | + | 0.982865i | \(0.559011\pi\) | |||||||
\(822\) | 29.5950 | − | 51.2600i | 1.03224 | − | 1.78790i | ||||
\(823\) | 39.0405 | 1.36087 | 0.680433 | − | 0.732810i | \(-0.261792\pi\) | ||||
0.680433 | + | 0.732810i | \(0.261792\pi\) | |||||||
\(824\) | 8.16470 | − | 14.1417i | 0.284431 | − | 0.492648i | ||||
\(825\) | 8.25500 | − | 14.2981i | 0.287402 | − | 0.497795i | ||||
\(826\) | −43.6185 | + | 40.4192i | −1.51768 | + | 1.40636i | ||||
\(827\) | 35.0709 | 1.21954 | 0.609768 | − | 0.792580i | \(-0.291263\pi\) | ||||
0.609768 | + | 0.792580i | \(0.291263\pi\) | |||||||
\(828\) | −2.12648 | − | 3.68318i | −0.0739004 | − | 0.127999i | ||||
\(829\) | −4.55649 | + | 7.89208i | −0.158254 | + | 0.274103i | −0.934239 | − | 0.356648i | \(-0.883920\pi\) |
0.775985 | + | 0.630751i | \(0.217253\pi\) | |||||||
\(830\) | 32.6366 | − | 56.5282i | 1.13283 | − | 1.96212i | ||||
\(831\) | −8.96129 | + | 15.5214i | −0.310864 | + | 0.538432i | ||||
\(832\) | −94.2438 | + | 5.30997i | −3.26732 | + | 0.184090i | ||||
\(833\) | −2.23080 | + | 29.2565i | −0.0772928 | + | 1.01368i | ||||
\(834\) | −0.966661 | − | 1.67431i | −0.0334727 | − | 0.0579765i | ||||
\(835\) | −33.3210 | −1.15312 | ||||||||
\(836\) | −14.8581 | −0.513879 | ||||||||
\(837\) | −0.915382 | − | 1.58549i | −0.0316402 | − | 0.0548025i | ||||
\(838\) | −43.8041 | − | 75.8709i | −1.51319 | − | 2.62092i | ||||
\(839\) | −7.08223 | + | 12.2668i | −0.244506 | + | 0.423496i | −0.961993 | − | 0.273076i | \(-0.911959\pi\) |
0.717487 | + | 0.696572i | \(0.245292\pi\) | |||||||
\(840\) | −90.0447 | − | 27.8393i | −3.10684 | − | 0.960549i | ||||
\(841\) | 14.3825 | − | 24.9111i | 0.495947 | − | 0.859005i | ||||
\(842\) | 93.4676 | 3.22111 | ||||||||
\(843\) | 5.80858 | − | 10.0607i | 0.200058 | − | 0.346511i | ||||
\(844\) | 66.3042 | + | 114.842i | 2.28228 | + | 3.95303i | ||||
\(845\) | 20.1965 | − | 46.3373i | 0.694781 | − | 1.59405i | ||||
\(846\) | −1.58706 | −0.0545642 | ||||||||
\(847\) | 21.0753 | + | 6.51589i | 0.724154 | + | 0.223889i | ||||
\(848\) | 43.0842 | + | 74.6241i | 1.47952 | + | 2.56260i | ||||
\(849\) | 4.04596 | + | 7.00781i | 0.138857 | + | 0.240507i | ||||
\(850\) | −57.5866 | − | 99.7429i | −1.97520 | − | 3.42115i | ||||
\(851\) | 0.545476 | 0.0186987 | ||||||||
\(852\) | 42.6535 | + | 73.8781i | 1.46129 | + | 2.53102i | ||||
\(853\) | 0.914536 | 0.0313131 | 0.0156566 | − | 0.999877i | \(-0.495016\pi\) | ||||
0.0156566 | + | 0.999877i | \(0.495016\pi\) | |||||||
\(854\) | −62.3583 | − | 19.2795i | −2.13386 | − | 0.659730i | ||||
\(855\) | 3.29439 | + | 5.70606i | 0.112666 | + | 0.195143i | ||||
\(856\) | −176.046 | −6.01714 | ||||||||
\(857\) | −9.58886 | − | 16.6084i | −0.327549 | − | 0.567332i | 0.654476 | − | 0.756083i | \(-0.272889\pi\) |
−0.982025 | + | 0.188751i | \(0.939556\pi\) | |||||||
\(858\) | 8.75322 | + | 13.3637i | 0.298830 | + | 0.456229i | ||||
\(859\) | −2.83001 | + | 4.90173i | −0.0965588 | + | 0.167245i | −0.910258 | − | 0.414041i | \(-0.864117\pi\) |
0.813699 | + | 0.581286i | \(0.197450\pi\) | |||||||
\(860\) | −58.3440 | − | 101.055i | −1.98951 | − | 3.44594i | ||||
\(861\) | −11.5251 | + | 10.6798i | −0.392775 | + | 0.363966i | ||||
\(862\) | 2.70710 | − | 4.68883i | 0.0922042 | − | 0.159702i | ||||
\(863\) | −14.6246 | + | 25.3305i | −0.497826 | + | 0.862259i | −0.999997 | − | 0.00250891i | \(-0.999201\pi\) |
0.502171 | + | 0.864768i | \(0.332535\pi\) | |||||||
\(864\) | −20.0485 | −0.682065 | ||||||||
\(865\) | −29.8649 | −1.01544 | ||||||||
\(866\) | −10.0703 | + | 17.4423i | −0.342204 | + | 0.592714i | ||||
\(867\) | −0.284884 | + | 0.493434i | −0.00967518 | + | 0.0167579i | ||||
\(868\) | −24.8682 | − | 7.68858i | −0.844083 | − | 0.260967i | ||||
\(869\) | −1.04926 | − | 1.81737i | −0.0355936 | − | 0.0616499i | ||||
\(870\) | −2.55975 | + | 4.43361i | −0.0867835 | + | 0.150313i | ||||
\(871\) | 1.62515 | − | 3.22071i | 0.0550661 | − | 0.109130i | ||||
\(872\) | 49.0067 | + | 84.8820i | 1.65957 | + | 2.87447i | ||||
\(873\) | −10.1756 | −0.344393 | ||||||||
\(874\) | 1.82084 | + | 3.15379i | 0.0615908 | + | 0.106678i | ||||
\(875\) | −38.6236 | + | 35.7907i | −1.30572 | + | 1.20995i | ||||
\(876\) | 31.4507 | 1.06262 | ||||||||
\(877\) | 4.54681 | + | 7.87530i | 0.153535 | + | 0.265930i | 0.932525 | − | 0.361107i | \(-0.117601\pi\) |
−0.778990 | + | 0.627037i | \(0.784268\pi\) | |||||||
\(878\) | −56.4133 | −1.90386 | ||||||||
\(879\) | −8.90887 | − | 15.4306i | −0.300489 | − | 0.520461i | ||||
\(880\) | −44.8248 | − | 77.6389i | −1.51104 | − | 2.61721i | ||||
\(881\) | −4.38792 | − | 7.60010i | −0.147833 | − | 0.256054i | 0.782593 | − | 0.622533i | \(-0.213896\pi\) |
−0.930426 | + | 0.366479i | \(0.880563\pi\) | |||||||
\(882\) | 17.1367 | − | 8.22512i | 0.577023 | − | 0.276954i | ||||
\(883\) | −53.6724 | −1.80622 | −0.903111 | − | 0.429408i | \(-0.858722\pi\) | ||||
−0.903111 | + | 0.429408i | \(0.858722\pi\) | |||||||
\(884\) | 81.0875 | − | 4.56871i | 2.72727 | − | 0.153662i | ||||
\(885\) | 16.0917 | + | 27.8717i | 0.540917 | + | 0.936897i | ||||
\(886\) | 7.25519 | − | 12.5664i | 0.243743 | − | 0.422175i | ||||
\(887\) | −29.8272 | −1.00150 | −0.500749 | − | 0.865593i | \(-0.666942\pi\) | ||||
−0.500749 | + | 0.865593i | \(0.666942\pi\) | |||||||
\(888\) | 3.15732 | − | 5.46864i | 0.105953 | − | 0.183515i | ||||
\(889\) | 9.52995 | + | 2.94640i | 0.319624 | + | 0.0988191i | ||||
\(890\) | 23.2746 | − | 40.3128i | 0.780167 | − | 1.35129i | ||||
\(891\) | 0.815825 | + | 1.41305i | 0.0273312 | + | 0.0473389i | ||||
\(892\) | −48.3431 | − | 83.7327i | −1.61865 | − | 2.80358i | ||||
\(893\) | 0.990363 | 0.0331412 | ||||||||
\(894\) | 15.1872 | 0.507936 | ||||||||
\(895\) | 18.9434 | + | 32.8109i | 0.633208 | + | 1.09675i | ||||
\(896\) | −60.1490 | + | 55.7373i | −2.00944 | + | 1.86205i | ||||
\(897\) | 1.28547 | − | 2.54754i | 0.0429206 | − | 0.0850598i | ||||
\(898\) | 40.9955 | − | 71.0063i | 1.36804 | − | 2.36951i | ||||
\(899\) | −0.443839 | + | 0.768752i | −0.0148029 | + | 0.0256393i | ||||
\(900\) | −27.1880 | + | 47.0911i | −0.906268 | + | 1.56970i | ||||
\(901\) | −12.7801 | − | 22.1358i | −0.425768 | − | 0.737452i | ||||
\(902\) | −26.3132 | −0.876135 | ||||||||
\(903\) | 14.1159 | + | 4.36425i | 0.469747 | + | 0.145233i | ||||
\(904\) | 35.0238 | − | 60.6629i | 1.16487 | − | 2.01762i | ||||
\(905\) | −12.1255 | + | 21.0020i | −0.403067 | + | 0.698132i | ||||
\(906\) | 27.1395 | 0.901651 | ||||||||
\(907\) | −8.20448 | + | 14.2106i | −0.272425 | + | 0.471855i | −0.969482 | − | 0.245161i | \(-0.921159\pi\) |
0.697057 | + | 0.717016i | \(0.254492\pi\) | |||||||
\(908\) | −44.8489 | −1.48836 | ||||||||
\(909\) | 14.1729 | 0.470084 | ||||||||
\(910\) | −27.8381 | − | 96.7985i | −0.922825 | − | 3.20884i | ||||
\(911\) | −30.3790 | −1.00650 | −0.503251 | − | 0.864140i | \(-0.667863\pi\) | ||||
−0.503251 | + | 0.864140i | \(0.667863\pi\) | |||||||
\(912\) | 23.9451 | 0.792900 | ||||||||
\(913\) | −5.04345 | + | 8.73551i | −0.166914 | + | 0.289103i | ||||
\(914\) | 84.2357 | 2.78627 | ||||||||
\(915\) | −17.6623 | + | 30.5920i | −0.583897 | + | 1.01134i | ||||
\(916\) | −59.7426 | + | 103.477i | −1.97395 | + | 3.41898i | ||||
\(917\) | −10.5765 | − | 46.4780i | −0.349265 | − | 1.53484i | ||||
\(918\) | 11.3823 | 0.375673 | ||||||||
\(919\) | −0.579644 | − | 1.00397i | −0.0191207 | − | 0.0331180i | 0.856307 | − | 0.516468i | \(-0.172753\pi\) |
−0.875427 | + | 0.483350i | \(0.839420\pi\) | |||||||
\(920\) | −14.0964 | + | 24.4156i | −0.464743 | + | 0.804958i | ||||
\(921\) | −8.08164 | + | 13.9978i | −0.266299 | + | 0.461244i | ||||
\(922\) | 5.95304 | − | 10.3110i | 0.196053 | − | 0.339574i | ||||
\(923\) | −25.7843 | + | 51.0992i | −0.848700 | + | 1.68195i | ||||
\(924\) | 22.1636 | + | 6.85237i | 0.729128 | + | 0.225426i | ||||
\(925\) | −3.48708 | − | 6.03980i | −0.114654 | − | 0.198587i | ||||
\(926\) | −13.3973 | −0.440264 | ||||||||
\(927\) | 1.78235 | 0.0585401 | ||||||||
\(928\) | 4.86044 | + | 8.41853i | 0.159552 | + | 0.276352i | ||||
\(929\) | −11.5792 | − | 20.0557i | −0.379901 | − | 0.658008i | 0.611147 | − | 0.791517i | \(-0.290709\pi\) |
−0.991048 | + | 0.133510i | \(0.957375\pi\) | |||||||
\(930\) | −9.66509 | + | 16.7404i | −0.316931 | + | 0.548940i | ||||
\(931\) | −10.6937 | + | 5.13268i | −0.350473 | + | 0.168217i | ||||
\(932\) | 13.4840 | − | 23.3550i | 0.441683 | − | 0.765017i | ||||
\(933\) | −18.1229 | −0.593317 | ||||||||
\(934\) | −10.8284 | + | 18.7553i | −0.354316 | + | 0.613693i | ||||
\(935\) | 13.2964 | + | 23.0301i | 0.434840 | + | 0.753165i | ||||
\(936\) | −18.0996 | − | 27.6330i | −0.591605 | − | 0.903214i | ||||
\(937\) | 40.2025 | 1.31336 | 0.656679 | − | 0.754170i | \(-0.271961\pi\) | ||||
0.656679 | + | 0.754170i | \(0.271961\pi\) | |||||||
\(938\) | −1.59500 | − | 7.00921i | −0.0520787 | − | 0.228859i | ||||
\(939\) | 12.8068 | + | 22.1820i | 0.417934 | + | 0.723882i | ||||
\(940\) | 6.10602 | + | 10.5759i | 0.199156 | + | 0.344949i | ||||
\(941\) | −0.479740 | − | 0.830934i | −0.0156391 | − | 0.0270877i | 0.858100 | − | 0.513483i | \(-0.171645\pi\) |
−0.873739 | + | 0.486395i | \(0.838312\pi\) | |||||||
\(942\) | 51.1619 | 1.66695 | ||||||||
\(943\) | 2.35003 | + | 4.07038i | 0.0765276 | + | 0.132550i | ||||
\(944\) | 116.962 | 3.80677 | ||||||||
\(945\) | −2.28262 | − | 10.0309i | −0.0742538 | − | 0.326307i | ||||
\(946\) | 12.3716 | + | 21.4283i | 0.402237 | + | 0.696695i | ||||
\(947\) | −34.0561 | −1.10668 | −0.553338 | − | 0.832957i | \(-0.686646\pi\) | ||||
−0.553338 | + | 0.832957i | \(0.686646\pi\) | |||||||
\(948\) | 3.45575 | + | 5.98554i | 0.112238 | + | 0.194401i | ||||
\(949\) | 11.5621 | + | 17.6520i | 0.375321 | + | 0.573009i | ||||
\(950\) | 23.2803 | − | 40.3226i | 0.755311 | − | 1.30824i | ||||
\(951\) | 13.7304 | + | 23.7817i | 0.445237 | + | 0.771174i | ||||
\(952\) | 74.5257 | − | 69.0594i | 2.41539 | − | 2.23823i | ||||
\(953\) | −19.1908 | + | 33.2394i | −0.621651 | + | 1.07673i | 0.367528 | + | 0.930013i | \(0.380204\pi\) |
−0.989178 | + | 0.146718i | \(0.953129\pi\) | |||||||
\(954\) | −8.27942 | + | 14.3404i | −0.268056 | + | 0.464287i | ||||
\(955\) | −11.8500 | −0.383458 | ||||||||
\(956\) | 49.8859 | 1.61343 | ||||||||
\(957\) | 0.395567 | − | 0.685142i | 0.0127869 | − | 0.0221475i | ||||
\(958\) | −43.9167 | + | 76.0660i | −1.41888 | + | 2.45758i | ||||
\(959\) | 42.3005 | − | 39.1979i | 1.36596 | − | 1.26577i | ||||
\(960\) | 50.8973 | + | 88.1568i | 1.64270 | + | 2.84525i | ||||
\(961\) | 13.8242 | − | 23.9441i | 0.445940 | − | 0.772391i | ||||
\(962\) | 6.73756 | − | 0.379614i | 0.217228 | − | 0.0122392i | ||||
\(963\) | −9.60772 | − | 16.6411i | −0.309605 | − | 0.536251i | ||||
\(964\) | −79.4763 | −2.55976 | ||||||||
\(965\) | 17.4650 | + | 30.2502i | 0.562217 | + | 0.973789i | ||||
\(966\) | −1.26163 | − | 5.54419i | −0.0405922 | − | 0.178381i | ||||
\(967\) | −10.7031 | −0.344188 | −0.172094 | − | 0.985080i | \(-0.555053\pi\) | ||||
−0.172094 | + | 0.985080i | \(0.555053\pi\) | |||||||
\(968\) | −38.1939 | − | 66.1538i | −1.22760 | − | 2.12626i | ||||
\(969\) | −7.10285 | −0.228176 | ||||||||
\(970\) | 53.7199 | + | 93.0456i | 1.72484 | + | 2.98751i | ||||
\(971\) | 9.99173 | + | 17.3062i | 0.320650 | + | 0.555382i | 0.980622 | − | 0.195908i | \(-0.0627654\pi\) |
−0.659972 | + | 0.751290i | \(0.729432\pi\) | |||||||
\(972\) | −2.68694 | − | 4.65391i | −0.0861836 | − | 0.149274i | ||||
\(973\) | −0.417960 | − | 1.83672i | −0.0133992 | − | 0.0588825i | ||||
\(974\) | −89.9102 | −2.88091 | ||||||||
\(975\) | −36.4253 | + | 2.05231i | −1.16654 | + | 0.0657265i | ||||
\(976\) | 64.1885 | + | 111.178i | 2.05462 | + | 3.55871i | ||||
\(977\) | 1.51427 | − | 2.62279i | 0.0484457 | − | 0.0839105i | −0.840786 | − | 0.541368i | \(-0.817907\pi\) |
0.889231 | + | 0.457458i | \(0.151240\pi\) | |||||||
\(978\) | 66.3858 | 2.12278 | ||||||||
\(979\) | −3.59671 | + | 6.22969i | −0.114952 | + | 0.199102i | ||||
\(980\) | −120.743 | − | 82.5516i | −3.85698 | − | 2.63701i | ||||
\(981\) | −5.34907 | + | 9.26486i | −0.170783 | + | 0.295804i | ||||
\(982\) | −13.6263 | − | 23.6014i | −0.434832 | − | 0.753152i | ||||
\(983\) | −17.7590 | − | 30.7595i | −0.566425 | − | 0.981076i | −0.996916 | − | 0.0784815i | \(-0.974993\pi\) |
0.430491 | − | 0.902595i | \(-0.358340\pi\) | |||||||
\(984\) | 54.4097 | 1.73452 | ||||||||
\(985\) | −65.5543 | −2.08873 | ||||||||
\(986\) | −2.75946 | − | 4.77953i | −0.0878791 | − | 0.152211i | ||||
\(987\) | −1.47731 | − | 0.456742i | −0.0470232 | − | 0.0145383i | ||||
\(988\) | 17.9900 | + | 27.4656i | 0.572337 | + | 0.873797i | ||||
\(989\) | 2.20982 | − | 3.82752i | 0.0702682 | − | 0.121708i | ||||
\(990\) | 8.61391 | − | 14.9197i | 0.273768 | − | 0.474180i | ||||
\(991\) | 17.6510 | − | 30.5724i | 0.560701 | − | 0.971163i | −0.436734 | − | 0.899591i | \(-0.643865\pi\) |
0.997435 | − | 0.0715726i | \(-0.0228017\pi\) | |||||||
\(992\) | 18.3521 | + | 31.7867i | 0.582678 | + | 1.00923i | ||||
\(993\) | 6.95125 | 0.220591 | ||||||||
\(994\) | 25.3060 | + | 111.207i | 0.802658 | + | 3.52726i | ||||
\(995\) | −3.97623 | + | 6.88704i | −0.126055 | + | 0.218334i | ||||
\(996\) | 16.6107 | − | 28.7706i | 0.526331 | − | 0.911631i | ||||
\(997\) | −15.4531 | −0.489406 | −0.244703 | − | 0.969598i | \(-0.578690\pi\) | ||||
−0.244703 | + | 0.969598i | \(0.578690\pi\) | |||||||
\(998\) | 28.4506 | − | 49.2778i | 0.900587 | − | 1.55986i | ||||
\(999\) | 0.689242 | 0.0218066 |
(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 | 273.2.l.c.16.1 | yes | 20 | |
3.2 | odd | 2 | 819.2.s.f.289.10 | 20 | |||
7.4 | even | 3 | 273.2.j.c.172.10 | yes | 20 | ||
13.9 | even | 3 | 273.2.j.c.100.10 | ✓ | 20 | ||
21.11 | odd | 6 | 819.2.n.f.172.1 | 20 | |||
39.35 | odd | 6 | 819.2.n.f.100.1 | 20 | |||
91.74 | even | 3 | inner | 273.2.l.c.256.1 | yes | 20 | |
273.74 | odd | 6 | 819.2.s.f.802.10 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.j.c.100.10 | ✓ | 20 | 13.9 | even | 3 | ||
273.2.j.c.172.10 | yes | 20 | 7.4 | even | 3 | ||
273.2.l.c.16.1 | yes | 20 | 1.1 | even | 1 | trivial | |
273.2.l.c.256.1 | yes | 20 | 91.74 | even | 3 | inner | |
819.2.n.f.100.1 | 20 | 39.35 | odd | 6 | |||
819.2.n.f.172.1 | 20 | 21.11 | odd | 6 | |||
819.2.s.f.289.10 | 20 | 3.2 | odd | 2 | |||
819.2.s.f.802.10 | 20 | 273.74 | odd | 6 |