Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (of order \(12\), degree \(4\), 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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.11 | ||
Character | \(\chi\) | \(=\) | 336.37 |
Dual form | 336.2.bq.b.109.11 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.687104 | + | 1.23608i | −0.485856 | + | 0.874039i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | −1.05578 | − | 1.69863i | −0.527888 | − | 0.849314i | ||||
\(5\) | 0.137710 | − | 0.0368993i | 0.0615857 | − | 0.0165019i | −0.227895 | − | 0.973686i | \(-0.573184\pi\) |
0.289480 | + | 0.957184i | \(0.406518\pi\) | |||||||
\(6\) | −0.983612 | + | 1.01612i | −0.401558 | + | 0.414831i | ||||
\(7\) | −2.08565 | + | 1.62790i | −0.788301 | + | 0.615290i | ||||
\(8\) | 2.82506 | − | 0.137888i | 0.998811 | − | 0.0487508i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −0.0490107 | + | 0.195574i | −0.0154985 | + | 0.0618459i | ||||
\(11\) | −1.29326 | + | 4.82651i | −0.389933 | + | 1.45525i | 0.440310 | + | 0.897846i | \(0.354869\pi\) |
−0.830242 | + | 0.557402i | \(0.811798\pi\) | |||||||
\(12\) | −0.580165 | − | 1.91400i | −0.167479 | − | 0.552525i | ||||
\(13\) | −0.0957679 | + | 0.0957679i | −0.0265612 | + | 0.0265612i | −0.720263 | − | 0.693701i | \(-0.755979\pi\) |
0.693701 | + | 0.720263i | \(0.255979\pi\) | |||||||
\(14\) | −0.579159 | − | 3.69656i | −0.154787 | − | 0.987948i | ||||
\(15\) | 0.142568 | 0.0368108 | ||||||||
\(16\) | −1.77067 | + | 3.58674i | −0.442668 | + | 0.896686i | ||||
\(17\) | 2.58943 | + | 4.48502i | 0.628028 | + | 1.08778i | 0.987947 | + | 0.154793i | \(0.0494710\pi\) |
−0.359919 | + | 0.932984i | \(0.617196\pi\) | |||||||
\(18\) | −1.21309 | + | 0.726923i | −0.285928 | + | 0.171337i | ||||
\(19\) | 0.638013 | + | 2.38110i | 0.146370 | + | 0.546261i | 0.999691 | + | 0.0248740i | \(0.00791845\pi\) |
−0.853320 | + | 0.521387i | \(0.825415\pi\) | |||||||
\(20\) | −0.208069 | − | 0.194961i | −0.0465256 | − | 0.0435945i | ||||
\(21\) | −2.43591 | + | 1.03263i | −0.531560 | + | 0.225338i | ||||
\(22\) | −5.07734 | − | 4.91489i | −1.08249 | − | 1.04786i | ||||
\(23\) | 4.16740 | + | 2.40605i | 0.868962 | + | 0.501696i | 0.867003 | − | 0.498302i | \(-0.166043\pi\) |
0.00195903 | + | 0.999998i | \(0.499376\pi\) | |||||||
\(24\) | 2.76449 | + | 0.597991i | 0.564299 | + | 0.122064i | ||||
\(25\) | −4.31252 | + | 2.48984i | −0.862505 | + | 0.497967i | ||||
\(26\) | −0.0525741 | − | 0.184179i | −0.0103106 | − | 0.0361205i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 4.96718 | + | 1.82404i | 0.938709 | + | 0.344711i | ||||
\(29\) | 6.22873 | − | 6.22873i | 1.15665 | − | 1.15665i | 0.171455 | − | 0.985192i | \(-0.445153\pi\) |
0.985192 | − | 0.171455i | \(-0.0548468\pi\) | |||||||
\(30\) | −0.0979589 | + | 0.176225i | −0.0178848 | + | 0.0321741i | ||||
\(31\) | −2.44044 | − | 4.22696i | −0.438316 | − | 0.759185i | 0.559244 | − | 0.829003i | \(-0.311092\pi\) |
−0.997560 | + | 0.0698179i | \(0.977758\pi\) | |||||||
\(32\) | −3.21686 | − | 4.65315i | −0.568665 | − | 0.822569i | ||||
\(33\) | −2.49839 | + | 4.32733i | −0.434913 | + | 0.753292i | ||||
\(34\) | −7.32303 | + | 0.119059i | −1.25589 | + | 0.0204184i | ||||
\(35\) | −0.227146 | + | 0.301137i | −0.0383947 | + | 0.0509015i | ||||
\(36\) | −0.0650154 | − | 1.99894i | −0.0108359 | − | 0.333157i | ||||
\(37\) | −5.01001 | + | 1.34243i | −0.823640 | + | 0.220694i | −0.645937 | − | 0.763390i | \(-0.723533\pi\) |
−0.177703 | + | 0.984084i | \(0.556867\pi\) | |||||||
\(38\) | −3.38160 | − | 0.847427i | −0.548568 | − | 0.137471i | ||||
\(39\) | −0.117291 | + | 0.0677181i | −0.0187816 | + | 0.0108436i | ||||
\(40\) | 0.383951 | − | 0.123231i | 0.0607080 | − | 0.0194846i | ||||
\(41\) | − | 5.89239i | − | 0.920237i | −0.887858 | − | 0.460118i | \(-0.847807\pi\) | ||
0.887858 | − | 0.460118i | \(-0.152193\pi\) | |||||||
\(42\) | 0.397316 | − | 3.72050i | 0.0613073 | − | 0.574086i | ||||
\(43\) | −0.390746 | − | 0.390746i | −0.0595882 | − | 0.0595882i | 0.676685 | − | 0.736273i | \(-0.263416\pi\) |
−0.736273 | + | 0.676685i | \(0.763416\pi\) | |||||||
\(44\) | 9.56384 | − | 2.89895i | 1.44180 | − | 0.437033i | ||||
\(45\) | 0.137710 | + | 0.0368993i | 0.0205286 | + | 0.00550062i | ||||
\(46\) | −5.83750 | + | 3.49802i | −0.860692 | + | 0.515755i | ||||
\(47\) | 1.18744 | − | 2.05670i | 0.173205 | − | 0.300000i | −0.766333 | − | 0.642443i | \(-0.777921\pi\) |
0.939539 | + | 0.342443i | \(0.111254\pi\) | |||||||
\(48\) | −2.63866 | + | 3.00624i | −0.380857 | + | 0.433914i | ||||
\(49\) | 1.69986 | − | 6.79047i | 0.242837 | − | 0.970067i | ||||
\(50\) | −0.114480 | − | 7.04139i | −0.0161899 | − | 0.995803i | ||||
\(51\) | 1.34039 | + | 5.00239i | 0.187691 | + | 0.700474i | ||||
\(52\) | 0.263784 | + | 0.0615645i | 0.0365802 | + | 0.00853746i | ||||
\(53\) | 0.658095 | − | 2.45604i | 0.0903963 | − | 0.337363i | −0.905885 | − | 0.423524i | \(-0.860793\pi\) |
0.996281 | + | 0.0861602i | \(0.0274597\pi\) | |||||||
\(54\) | −1.35989 | + | 0.388183i | −0.185058 | + | 0.0528250i | ||||
\(55\) | 0.712379i | 0.0960572i | ||||||||
\(56\) | −5.66762 | + | 4.88652i | −0.757368 | + | 0.652989i | ||||
\(57\) | 2.46509i | 0.326509i | ||||||||
\(58\) | 3.41941 | + | 11.9790i | 0.448991 | + | 1.57292i | ||||
\(59\) | −2.09440 | + | 7.81641i | −0.272668 | + | 1.01761i | 0.684721 | + | 0.728806i | \(0.259924\pi\) |
−0.957388 | + | 0.288804i | \(0.906742\pi\) | |||||||
\(60\) | −0.150520 | − | 0.242170i | −0.0194320 | − | 0.0312640i | ||||
\(61\) | −1.17785 | − | 4.39581i | −0.150809 | − | 0.562826i | −0.999428 | − | 0.0338216i | \(-0.989232\pi\) |
0.848619 | − | 0.529004i | \(-0.177434\pi\) | |||||||
\(62\) | 6.90169 | − | 0.112209i | 0.876516 | − | 0.0142505i | ||||
\(63\) | −2.62018 | + | 0.366982i | −0.330111 | + | 0.0462354i | ||||
\(64\) | 7.96197 | − | 0.779085i | 0.995247 | − | 0.0973856i | ||||
\(65\) | −0.00965443 | + | 0.0167220i | −0.00119748 | + | 0.00207410i | ||||
\(66\) | −3.63227 | − | 6.06153i | −0.447101 | − | 0.746122i | ||||
\(67\) | 0.284860 | + | 0.0763279i | 0.0348011 | + | 0.00932494i | 0.276178 | − | 0.961107i | \(-0.410932\pi\) |
−0.241376 | + | 0.970432i | \(0.577599\pi\) | |||||||
\(68\) | 4.88452 | − | 9.13364i | 0.592335 | − | 1.10762i | ||||
\(69\) | 3.40267 | + | 3.40267i | 0.409633 | + | 0.409633i | ||||
\(70\) | −0.216156 | − | 0.487683i | −0.0258356 | − | 0.0582892i | ||||
\(71\) | 9.82085i | 1.16552i | 0.812644 | + | 0.582760i | \(0.198027\pi\) | ||||
−0.812644 | + | 0.582760i | \(0.801973\pi\) | |||||||
\(72\) | 2.51552 | + | 1.29312i | 0.296457 | + | 0.152395i | ||||
\(73\) | 12.3493 | − | 7.12989i | 1.44538 | − | 0.834491i | 0.447179 | − | 0.894444i | \(-0.352429\pi\) |
0.998201 | + | 0.0599535i | \(0.0190952\pi\) | |||||||
\(74\) | 1.78305 | − | 7.11515i | 0.207275 | − | 0.827119i | ||||
\(75\) | −4.81000 | + | 1.28883i | −0.555411 | + | 0.148822i | ||||
\(76\) | 3.37100 | − | 3.59765i | 0.386680 | − | 0.412679i | ||||
\(77\) | −5.15981 | − | 12.1717i | −0.588015 | − | 1.38710i | ||||
\(78\) | −0.00311360 | − | 0.191511i | −0.000352546 | − | 0.0216843i | ||||
\(79\) | 5.01195 | − | 8.68095i | 0.563888 | − | 0.976683i | −0.433264 | − | 0.901267i | \(-0.642638\pi\) |
0.997152 | − | 0.0754162i | \(-0.0240285\pi\) | |||||||
\(80\) | −0.111491 | + | 0.559266i | −0.0124651 | + | 0.0625279i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 7.28345 | + | 4.04868i | 0.804323 | + | 0.447102i | ||||
\(83\) | −1.66074 | + | 1.66074i | −0.182290 | + | 0.182290i | −0.792353 | − | 0.610063i | \(-0.791144\pi\) |
0.610063 | + | 0.792353i | \(0.291144\pi\) | |||||||
\(84\) | 4.32583 | + | 3.04749i | 0.471987 | + | 0.332508i | ||||
\(85\) | 0.522083 | + | 0.522083i | 0.0566279 | + | 0.0566279i | ||||
\(86\) | 0.751475 | − | 0.214509i | 0.0810336 | − | 0.0231311i | ||||
\(87\) | 7.62861 | − | 4.40438i | 0.817873 | − | 0.472199i | ||||
\(88\) | −2.98802 | + | 13.8135i | −0.318524 | + | 1.47253i | ||||
\(89\) | 10.5430 | + | 6.08701i | 1.11756 | + | 0.645222i | 0.940776 | − | 0.339028i | \(-0.110098\pi\) |
0.176781 | + | 0.984250i | \(0.443431\pi\) | |||||||
\(90\) | −0.140231 | + | 0.144867i | −0.0147817 | + | 0.0152703i | ||||
\(91\) | 0.0438372 | − | 0.355639i | 0.00459539 | − | 0.0372811i | ||||
\(92\) | −0.312860 | − | 9.61910i | −0.0326179 | − | 1.00286i | ||||
\(93\) | −1.26326 | − | 4.71457i | −0.130994 | − | 0.488878i | ||||
\(94\) | 1.72635 | + | 2.88093i | 0.178059 | + | 0.297145i | ||||
\(95\) | 0.175721 | + | 0.304358i | 0.0180286 | + | 0.0312265i | ||||
\(96\) | −1.90292 | − | 5.32718i | −0.194216 | − | 0.543703i | ||||
\(97\) | 12.5887 | 1.27819 | 0.639093 | − | 0.769130i | \(-0.279310\pi\) | ||||
0.639093 | + | 0.769130i | \(0.279310\pi\) | |||||||
\(98\) | 7.22557 | + | 6.76692i | 0.729893 | + | 0.683562i | ||||
\(99\) | −3.53325 | + | 3.53325i | −0.355105 | + | 0.355105i | ||||
\(100\) | 8.78237 | + | 4.69666i | 0.878237 | + | 0.469666i | ||||
\(101\) | 2.02206 | − | 7.54643i | 0.201203 | − | 0.750898i | −0.789371 | − | 0.613916i | \(-0.789593\pi\) |
0.990574 | − | 0.136982i | \(-0.0437402\pi\) | |||||||
\(102\) | −7.10432 | − | 1.78034i | −0.703433 | − | 0.176280i | ||||
\(103\) | 15.5354 | + | 8.96935i | 1.53075 | + | 0.883776i | 0.999328 | + | 0.0366662i | \(0.0116738\pi\) |
0.531418 | + | 0.847110i | \(0.321660\pi\) | |||||||
\(104\) | −0.257345 | + | 0.283756i | −0.0252348 | + | 0.0278245i | ||||
\(105\) | −0.297346 | + | 0.232087i | −0.0290180 | + | 0.0226493i | ||||
\(106\) | 2.58368 | + | 2.50101i | 0.250949 | + | 0.242920i | ||||
\(107\) | 2.17380 | − | 0.582469i | 0.210149 | − | 0.0563094i | −0.152208 | − | 0.988348i | \(-0.548639\pi\) |
0.362358 | + | 0.932039i | \(0.381972\pi\) | |||||||
\(108\) | 0.454564 | − | 1.94766i | 0.0437405 | − | 0.187413i | ||||
\(109\) | −19.1681 | − | 5.13607i | −1.83597 | − | 0.491946i | −0.837456 | − | 0.546504i | \(-0.815958\pi\) |
−0.998511 | + | 0.0545581i | \(0.982625\pi\) | |||||||
\(110\) | −0.880556 | − | 0.489478i | −0.0839577 | − | 0.0466699i | ||||
\(111\) | −5.18674 | −0.492304 | ||||||||
\(112\) | −2.14587 | − | 10.3632i | −0.202766 | − | 0.979227i | ||||
\(113\) | −9.33529 | −0.878190 | −0.439095 | − | 0.898441i | \(-0.644701\pi\) | ||||
−0.439095 | + | 0.898441i | \(0.644701\pi\) | |||||||
\(114\) | −3.04704 | − | 1.69377i | −0.285382 | − | 0.158636i | ||||
\(115\) | 0.662673 | + | 0.177563i | 0.0617946 | + | 0.0165578i | ||||
\(116\) | −17.1565 | − | 4.00415i | −1.59294 | − | 0.371776i | ||||
\(117\) | −0.130821 | + | 0.0350535i | −0.0120944 | + | 0.00324070i | ||||
\(118\) | −8.22262 | − | 7.95952i | −0.756953 | − | 0.732734i | ||||
\(119\) | −12.7018 | − | 5.13883i | −1.16437 | − | 0.471076i | ||||
\(120\) | 0.402763 | − | 0.0196584i | 0.0367671 | − | 0.00179456i | ||||
\(121\) | −12.0964 | − | 6.98387i | −1.09967 | − | 0.634898i | ||||
\(122\) | 6.24287 | + | 1.56446i | 0.565203 | + | 0.141640i | ||||
\(123\) | 1.52506 | − | 5.69161i | 0.137510 | − | 0.513195i | ||||
\(124\) | −4.60348 | + | 8.60813i | −0.413405 | + | 0.773033i | ||||
\(125\) | −1.00606 | + | 1.00606i | −0.0899845 | + | 0.0899845i | ||||
\(126\) | 1.34672 | − | 3.49090i | 0.119975 | − | 0.310994i | ||||
\(127\) | 0.499655 | 0.0443372 | 0.0221686 | − | 0.999754i | \(-0.492943\pi\) | ||||
0.0221686 | + | 0.999754i | \(0.492943\pi\) | |||||||
\(128\) | −4.50769 | + | 10.3769i | −0.398428 | + | 0.917200i | ||||
\(129\) | −0.276299 | − | 0.478564i | −0.0243268 | − | 0.0421352i | ||||
\(130\) | −0.0140360 | − | 0.0234233i | −0.00123104 | − | 0.00205436i | ||||
\(131\) | 5.63421 | + | 21.0272i | 0.492264 | + | 1.83715i | 0.544846 | + | 0.838536i | \(0.316588\pi\) |
−0.0525820 | + | 0.998617i | \(0.516745\pi\) | |||||||
\(132\) | 9.98827 | − | 0.324867i | 0.869367 | − | 0.0282761i | ||||
\(133\) | −5.20686 | − | 3.92750i | −0.451492 | − | 0.340558i | ||||
\(134\) | −0.290075 | + | 0.299663i | −0.0250587 | + | 0.0258870i | ||||
\(135\) | 0.123467 | + | 0.0712839i | 0.0106264 | + | 0.00613514i | ||||
\(136\) | 7.93372 | + | 12.3134i | 0.680311 | + | 1.05587i | ||||
\(137\) | 18.9386 | − | 10.9342i | 1.61803 | − | 0.934170i | 0.630602 | − | 0.776107i | \(-0.282808\pi\) |
0.987429 | − | 0.158064i | \(-0.0505251\pi\) | |||||||
\(138\) | −6.54394 | + | 1.86797i | −0.557057 | + | 0.159013i | ||||
\(139\) | −13.4424 | − | 13.4424i | −1.14017 | − | 1.14017i | −0.988419 | − | 0.151750i | \(-0.951509\pi\) |
−0.151750 | − | 0.988419i | \(-0.548491\pi\) | |||||||
\(140\) | 0.751336 | + | 0.0679027i | 0.0634995 | + | 0.00573883i | ||||
\(141\) | 1.67929 | − | 1.67929i | 0.141421 | − | 0.141421i | ||||
\(142\) | −12.1393 | − | 6.74795i | −1.01871 | − | 0.566275i | ||||
\(143\) | −0.338372 | − | 0.586078i | −0.0282961 | − | 0.0490103i | ||||
\(144\) | −3.32682 | + | 2.22087i | −0.277235 | + | 0.185073i | ||||
\(145\) | 0.627923 | − | 1.08759i | 0.0521462 | − | 0.0903198i | ||||
\(146\) | 0.327825 | + | 20.1637i | 0.0271310 | + | 1.66876i | ||||
\(147\) | 3.39944 | − | 6.11913i | 0.280381 | − | 0.504698i | ||||
\(148\) | 7.56973 | + | 7.09284i | 0.622228 | + | 0.583027i | ||||
\(149\) | −14.4299 | + | 3.86649i | −1.18215 | + | 0.316755i | −0.795777 | − | 0.605590i | \(-0.792937\pi\) |
−0.386368 | + | 0.922345i | \(0.626271\pi\) | |||||||
\(150\) | 1.71187 | − | 6.83109i | 0.139773 | − | 0.557756i | ||||
\(151\) | −7.48900 | + | 4.32378i | −0.609446 | + | 0.351864i | −0.772749 | − | 0.634712i | \(-0.781119\pi\) |
0.163303 | + | 0.986576i | \(0.447785\pi\) | |||||||
\(152\) | 2.13075 | + | 6.63877i | 0.172827 | + | 0.538476i | ||||
\(153\) | 5.17885i | 0.418685i | ||||||||
\(154\) | 18.5905 | + | 1.98530i | 1.49807 | + | 0.159980i | ||||
\(155\) | −0.492045 | − | 0.492045i | −0.0395220 | − | 0.0395220i | ||||
\(156\) | 0.238861 | + | 0.127739i | 0.0191242 | + | 0.0102273i | ||||
\(157\) | 5.28857 | + | 1.41707i | 0.422074 | + | 0.113094i | 0.463603 | − | 0.886043i | \(-0.346556\pi\) |
−0.0415292 | + | 0.999137i | \(0.513223\pi\) | |||||||
\(158\) | 7.28660 | + | 12.1599i | 0.579691 | + | 0.967388i | ||||
\(159\) | 1.27134 | − | 2.20203i | 0.100824 | − | 0.174632i | ||||
\(160\) | −0.614691 | − | 0.522086i | −0.0485956 | − | 0.0412745i | ||||
\(161\) | −12.6085 | + | 1.76595i | −0.993692 | + | 0.139177i | ||||
\(162\) | −1.41403 | + | 0.0229894i | −0.111096 | + | 0.00180622i | ||||
\(163\) | −3.11628 | − | 11.6301i | −0.244086 | − | 0.910940i | −0.973841 | − | 0.227231i | \(-0.927033\pi\) |
0.729755 | − | 0.683709i | \(-0.239634\pi\) | |||||||
\(164\) | −10.0090 | + | 6.22105i | −0.781570 | + | 0.485782i | ||||
\(165\) | −0.184377 | + | 0.688105i | −0.0143537 | + | 0.0535689i | ||||
\(166\) | −0.911702 | − | 3.19390i | −0.0707618 | − | 0.247895i | ||||
\(167\) | − | 8.87082i | − | 0.686444i | −0.939254 | − | 0.343222i | \(-0.888482\pi\) | ||
0.939254 | − | 0.343222i | \(-0.111518\pi\) | |||||||
\(168\) | −6.73923 | + | 3.25313i | −0.519943 | + | 0.250984i | ||||
\(169\) | 12.9817i | 0.998589i | ||||||||
\(170\) | −1.00406 | + | 0.286610i | −0.0770080 | + | 0.0219820i | ||||
\(171\) | −0.638013 | + | 2.38110i | −0.0487900 | + | 0.182087i | ||||
\(172\) | −0.251191 | + | 1.07627i | −0.0191532 | + | 0.0820649i | ||||
\(173\) | 2.72147 | + | 10.1567i | 0.206910 | + | 0.772197i | 0.988859 | + | 0.148855i | \(0.0475588\pi\) |
−0.781949 | + | 0.623342i | \(0.785775\pi\) | |||||||
\(174\) | 0.202509 | + | 12.4558i | 0.0153521 | + | 0.944274i | ||||
\(175\) | 4.94119 | − | 12.2133i | 0.373519 | − | 0.923239i | ||||
\(176\) | −15.0215 | − | 13.1848i | −1.13229 | − | 0.993839i | ||||
\(177\) | −4.04607 | + | 7.00800i | −0.304121 | + | 0.526753i | ||||
\(178\) | −14.7682 | + | 8.84958i | −1.10692 | + | 0.663304i | ||||
\(179\) | −14.7300 | − | 3.94689i | −1.10097 | − | 0.295005i | −0.337812 | − | 0.941214i | \(-0.609687\pi\) |
−0.763161 | + | 0.646209i | \(0.776354\pi\) | |||||||
\(180\) | −0.0827128 | − | 0.272875i | −0.00616505 | − | 0.0203389i | ||||
\(181\) | 8.14761 | + | 8.14761i | 0.605607 | + | 0.605607i | 0.941795 | − | 0.336188i | \(-0.109138\pi\) |
−0.336188 | + | 0.941795i | \(0.609138\pi\) | |||||||
\(182\) | 0.409477 | + | 0.298547i | 0.0303524 | + | 0.0221298i | ||||
\(183\) | − | 4.55088i | − | 0.336411i | ||||||
\(184\) | 12.1049 | + | 6.22260i | 0.892387 | + | 0.458736i | ||||
\(185\) | −0.640393 | + | 0.369731i | −0.0470826 | + | 0.0271832i | ||||
\(186\) | 6.69556 | + | 1.67790i | 0.490943 | + | 0.123030i | ||||
\(187\) | −24.9958 | + | 6.69760i | −1.82787 | + | 0.489777i | ||||
\(188\) | −4.74723 | + | 0.154403i | −0.346227 | + | 0.0112610i | ||||
\(189\) | −2.62588 | − | 0.323674i | −0.191005 | − | 0.0235438i | ||||
\(190\) | −0.496949 | + | 0.00807947i | −0.0360525 | + | 0.000586146i | ||||
\(191\) | 5.29941 | − | 9.17886i | 0.383452 | − | 0.664159i | −0.608101 | − | 0.793860i | \(-0.708068\pi\) |
0.991553 | + | 0.129701i | \(0.0414018\pi\) | |||||||
\(192\) | 7.89232 | + | 1.30817i | 0.569579 | + | 0.0944092i | ||||
\(193\) | 3.18069 | + | 5.50912i | 0.228951 | + | 0.396555i | 0.957498 | − | 0.288441i | \(-0.0931371\pi\) |
−0.728546 | + | 0.684996i | \(0.759804\pi\) | |||||||
\(194\) | −8.64972 | + | 15.5606i | −0.621014 | + | 1.11718i | ||||
\(195\) | −0.0136534 | + | 0.0136534i | −0.000977742 | + | 0.000977742i | ||||
\(196\) | −13.3292 | + | 4.28179i | −0.952082 | + | 0.305842i | ||||
\(197\) | −6.69371 | − | 6.69371i | −0.476907 | − | 0.476907i | 0.427234 | − | 0.904141i | \(-0.359488\pi\) |
−0.904141 | + | 0.427234i | \(0.859488\pi\) | |||||||
\(198\) | −1.93966 | − | 6.79509i | −0.137846 | − | 0.482906i | ||||
\(199\) | 17.8398 | − | 10.2998i | 1.26463 | − | 0.730133i | 0.290661 | − | 0.956826i | \(-0.406125\pi\) |
0.973966 | + | 0.226693i | \(0.0727915\pi\) | |||||||
\(200\) | −11.8398 | + | 7.62860i | −0.837203 | + | 0.539423i | ||||
\(201\) | 0.255398 | + | 0.147454i | 0.0180144 | + | 0.0104006i | ||||
\(202\) | 7.93861 | + | 7.68461i | 0.558559 | + | 0.540687i | ||||
\(203\) | −2.85117 | + | 23.1307i | −0.200113 | + | 1.62346i | ||||
\(204\) | 7.08204 | − | 7.55822i | 0.495842 | − | 0.529181i | ||||
\(205\) | −0.217425 | − | 0.811440i | −0.0151856 | − | 0.0566735i | ||||
\(206\) | −21.7612 | + | 13.0400i | −1.51618 | + | 0.908543i | ||||
\(207\) | 2.40605 | + | 4.16740i | 0.167232 | + | 0.289654i | ||||
\(208\) | −0.173921 | − | 0.513068i | −0.0120593 | − | 0.0355749i | ||||
\(209\) | −12.3175 | −0.852020 | ||||||||
\(210\) | −0.0825694 | − | 0.527011i | −0.00569783 | − | 0.0363672i | ||||
\(211\) | 0.464512 | − | 0.464512i | 0.0319783 | − | 0.0319783i | −0.690937 | − | 0.722915i | \(-0.742802\pi\) |
0.722915 | + | 0.690937i | \(0.242802\pi\) | |||||||
\(212\) | −4.86670 | + | 1.47517i | −0.334247 | + | 0.101315i | ||||
\(213\) | −2.54182 | + | 9.48622i | −0.174163 | + | 0.649985i | ||||
\(214\) | −0.773652 | + | 3.08721i | −0.0528857 | + | 0.211037i | ||||
\(215\) | −0.0682278 | − | 0.0393913i | −0.00465310 | − | 0.00268647i | ||||
\(216\) | 2.09512 | + | 1.90012i | 0.142555 | + | 0.129287i | ||||
\(217\) | 11.9710 | + | 4.84316i | 0.812644 | + | 0.328775i | ||||
\(218\) | 19.5190 | − | 20.1642i | 1.32200 | − | 1.36569i | ||||
\(219\) | 13.7739 | − | 3.69070i | 0.930754 | − | 0.249395i | ||||
\(220\) | 1.21007 | − | 0.752113i | 0.0815827 | − | 0.0507074i | ||||
\(221\) | −0.677504 | − | 0.181537i | −0.0455739 | − | 0.0122115i | ||||
\(222\) | 3.56383 | − | 6.41122i | 0.239189 | − | 0.430293i | ||||
\(223\) | −8.48668 | −0.568310 | −0.284155 | − | 0.958778i | \(-0.591713\pi\) | ||||
−0.284155 | + | 0.958778i | \(0.591713\pi\) | |||||||
\(224\) | 14.2841 | + | 4.46811i | 0.954398 | + | 0.298538i | ||||
\(225\) | −4.97967 | −0.331978 | ||||||||
\(226\) | 6.41431 | − | 11.5391i | 0.426674 | − | 0.767572i | ||||
\(227\) | 7.77334 | + | 2.08286i | 0.515935 | + | 0.138244i | 0.507386 | − | 0.861719i | \(-0.330612\pi\) |
0.00854926 | + | 0.999963i | \(0.497279\pi\) | |||||||
\(228\) | 4.18727 | − | 2.60259i | 0.277309 | − | 0.172360i | ||||
\(229\) | −0.774442 | + | 0.207511i | −0.0511766 | + | 0.0137127i | −0.284316 | − | 0.958730i | \(-0.591767\pi\) |
0.233140 | + | 0.972443i | \(0.425100\pi\) | |||||||
\(230\) | −0.674807 | + | 0.697112i | −0.0444954 | + | 0.0459662i | ||||
\(231\) | −1.83373 | − | 13.0924i | −0.120650 | − | 0.861419i | ||||
\(232\) | 16.7377 | − | 18.4554i | 1.09888 | − | 1.21166i | ||||
\(233\) | 1.53596 | + | 0.886785i | 0.100624 | + | 0.0580952i | 0.549467 | − | 0.835515i | \(-0.314831\pi\) |
−0.448844 | + | 0.893610i | \(0.648164\pi\) | |||||||
\(234\) | 0.0465591 | − | 0.185791i | 0.00304366 | − | 0.0121455i | ||||
\(235\) | 0.0876310 | − | 0.327043i | 0.00571641 | − | 0.0213339i | ||||
\(236\) | 15.4884 | − | 4.69477i | 1.00821 | − | 0.305604i | ||||
\(237\) | 7.08797 | − | 7.08797i | 0.460413 | − | 0.460413i | ||||
\(238\) | 15.0795 | − | 12.1695i | 0.977456 | − | 0.788832i | ||||
\(239\) | −14.1393 | −0.914593 | −0.457296 | − | 0.889314i | \(-0.651182\pi\) | ||||
−0.457296 | + | 0.889314i | \(0.651182\pi\) | |||||||
\(240\) | −0.252441 | + | 0.511354i | −0.0162950 | + | 0.0330078i | ||||
\(241\) | 0.181691 | + | 0.314699i | 0.0117038 | + | 0.0202715i | 0.871818 | − | 0.489830i | \(-0.162941\pi\) |
−0.860114 | + | 0.510102i | \(0.829608\pi\) | |||||||
\(242\) | 16.9441 | − | 10.1535i | 1.08921 | − | 0.652690i | ||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | −6.22329 | + | 6.64173i | −0.398406 | + | 0.425193i | ||||
\(245\) | −0.0164760 | − | 0.997839i | −0.00105262 | − | 0.0637496i | ||||
\(246\) | 5.98740 | + | 5.79582i | 0.381743 | + | 0.369528i | ||||
\(247\) | −0.289134 | − | 0.166931i | −0.0183971 | − | 0.0106216i | ||||
\(248\) | −7.47724 | − | 11.6049i | −0.474806 | − | 0.736914i | ||||
\(249\) | −2.03398 | + | 1.17432i | −0.128898 | + | 0.0744195i | ||||
\(250\) | −0.552299 | − | 1.93483i | −0.0349305 | − | 0.122369i | ||||
\(251\) | 4.00610 | + | 4.00610i | 0.252863 | + | 0.252863i | 0.822143 | − | 0.569281i | \(-0.192778\pi\) |
−0.569281 | + | 0.822143i | \(0.692778\pi\) | |||||||
\(252\) | 3.38969 | + | 4.06325i | 0.213530 | + | 0.255961i | ||||
\(253\) | −17.0023 | + | 17.0023i | −1.06893 | + | 1.06893i | ||||
\(254\) | −0.343315 | + | 0.617612i | −0.0215415 | + | 0.0387524i | ||||
\(255\) | 0.369169 | + | 0.639419i | 0.0231182 | + | 0.0400420i | ||||
\(256\) | −9.72944 | − | 12.7019i | −0.608090 | − | 0.793868i | ||||
\(257\) | 8.58831 | − | 14.8754i | 0.535724 | − | 0.927901i | −0.463404 | − | 0.886147i | \(-0.653372\pi\) |
0.999128 | − | 0.0417538i | \(-0.0132945\pi\) | |||||||
\(258\) | 0.781388 | − | 0.0127039i | 0.0486471 | − | 0.000790911i | ||||
\(259\) | 8.26377 | − | 10.9556i | 0.513486 | − | 0.680751i | ||||
\(260\) | 0.0385973 | − | 0.00125537i | 0.00239370 | − | 7.78549e-5i | ||||
\(261\) | 8.50861 | − | 2.27988i | 0.526670 | − | 0.141121i | ||||
\(262\) | −29.8625 | − | 7.48353i | −1.84491 | − | 0.462334i | ||||
\(263\) | 6.78844 | − | 3.91931i | 0.418593 | − | 0.241675i | −0.275882 | − | 0.961191i | \(-0.588970\pi\) |
0.694475 | + | 0.719517i | \(0.255637\pi\) | |||||||
\(264\) | −6.46142 | + | 12.5695i | −0.397673 | + | 0.773599i | ||||
\(265\) | − | 0.362505i | − | 0.0222685i | ||||||
\(266\) | 8.43236 | − | 3.73749i | 0.517021 | − | 0.229160i | ||||
\(267\) | 8.60834 | + | 8.60834i | 0.526822 | + | 0.526822i | ||||
\(268\) | −0.171095 | − | 0.564456i | −0.0104513 | − | 0.0344796i | ||||
\(269\) | 11.0926 | + | 2.97226i | 0.676329 | + | 0.181222i | 0.580604 | − | 0.814186i | \(-0.302816\pi\) |
0.0957252 | + | 0.995408i | \(0.469483\pi\) | |||||||
\(270\) | −0.172947 | + | 0.103636i | −0.0105252 | + | 0.00630707i | ||||
\(271\) | 13.5380 | − | 23.4486i | 0.822378 | − | 1.42440i | −0.0815293 | − | 0.996671i | \(-0.525980\pi\) |
0.903907 | − | 0.427729i | \(-0.140686\pi\) | |||||||
\(272\) | −20.6716 | + | 1.34611i | −1.25340 | + | 0.0816198i | ||||
\(273\) | 0.134390 | − | 0.332175i | 0.00813363 | − | 0.0201042i | ||||
\(274\) | 0.502742 | + | 30.9225i | 0.0303717 | + | 1.86809i | ||||
\(275\) | −6.44001 | − | 24.0345i | −0.388347 | − | 1.44933i | ||||
\(276\) | 2.18741 | − | 9.37232i | 0.131666 | − | 0.564147i | ||||
\(277\) | −1.09562 | + | 4.08893i | −0.0658297 | + | 0.245680i | −0.990998 | − | 0.133878i | \(-0.957257\pi\) |
0.925168 | + | 0.379557i | \(0.123924\pi\) | |||||||
\(278\) | 25.8522 | − | 7.37952i | 1.55051 | − | 0.442594i | ||||
\(279\) | − | 4.88088i | − | 0.292211i | ||||||
\(280\) | −0.600179 | + | 0.882053i | −0.0358675 | + | 0.0527128i | ||||
\(281\) | 10.0464i | 0.599316i | 0.954047 | + | 0.299658i | \(0.0968726\pi\) | ||||
−0.954047 | + | 0.299658i | \(0.903127\pi\) | |||||||
\(282\) | 0.921885 | + | 3.22957i | 0.0548974 | + | 0.192318i | ||||
\(283\) | 5.86368 | − | 21.8836i | 0.348560 | − | 1.30084i | −0.539838 | − | 0.841769i | \(-0.681515\pi\) |
0.888398 | − | 0.459074i | \(-0.151819\pi\) | |||||||
\(284\) | 16.6820 | − | 10.3686i | 0.989893 | − | 0.615265i | ||||
\(285\) | 0.0909600 | + | 0.339468i | 0.00538801 | + | 0.0201083i | ||||
\(286\) | 0.956935 | − | 0.0155580i | 0.0565847 | − | 0.000919962i | ||||
\(287\) | 9.59224 | + | 12.2895i | 0.566212 | + | 0.725423i | ||||
\(288\) | −0.459303 | − | 5.63818i | −0.0270647 | − | 0.332233i | ||||
\(289\) | −4.91025 | + | 8.50480i | −0.288838 | + | 0.500282i | ||||
\(290\) | 0.912903 | + | 1.52345i | 0.0536075 | + | 0.0894602i | ||||
\(291\) | 12.1597 | + | 3.25819i | 0.712815 | + | 0.190998i | ||||
\(292\) | −25.1492 | − | 13.4494i | −1.47174 | − | 0.787064i | ||||
\(293\) | 16.5560 | + | 16.5560i | 0.967212 | + | 0.967212i | 0.999479 | − | 0.0322669i | \(-0.0102727\pi\) |
−0.0322669 | + | 0.999479i | \(0.510273\pi\) | |||||||
\(294\) | 5.22796 | + | 8.40645i | 0.304901 | + | 0.490274i | ||||
\(295\) | 1.15368i | 0.0671698i | ||||||||
\(296\) | −13.9685 | + | 4.48326i | −0.811902 | + | 0.260584i | ||||
\(297\) | −4.32733 | + | 2.49839i | −0.251097 | + | 0.144971i | ||||
\(298\) | 5.13558 | − | 20.4932i | 0.297496 | − | 1.18714i | ||||
\(299\) | −0.629525 | + | 0.168681i | −0.0364064 | + | 0.00975506i | ||||
\(300\) | 7.26753 | + | 6.80967i | 0.419591 | + | 0.393157i | ||||
\(301\) | 1.45105 | + | 0.178862i | 0.0836374 | + | 0.0103094i | ||||
\(302\) | −0.198802 | − | 12.2279i | −0.0114398 | − | 0.703635i | ||||
\(303\) | 3.90632 | − | 6.76595i | 0.224412 | − | 0.388694i | ||||
\(304\) | −9.67009 | − | 1.92775i | −0.554618 | − | 0.110564i | ||||
\(305\) | −0.324404 | − | 0.561885i | −0.0185753 | − | 0.0321734i | ||||
\(306\) | −6.40146 | − | 3.55841i | −0.365947 | − | 0.203421i | ||||
\(307\) | 9.64846 | − | 9.64846i | 0.550667 | − | 0.550667i | −0.375966 | − | 0.926633i | \(-0.622689\pi\) |
0.926633 | + | 0.375966i | \(0.122689\pi\) | |||||||
\(308\) | −15.2276 | + | 21.6152i | −0.867673 | + | 1.23164i | ||||
\(309\) | 12.6846 | + | 12.6846i | 0.721600 | + | 0.721600i | ||||
\(310\) | 0.946291 | − | 0.270120i | 0.0537457 | − | 0.0153418i | ||||
\(311\) | −24.9628 | + | 14.4123i | −1.41551 | + | 0.817246i | −0.995900 | − | 0.0904575i | \(-0.971167\pi\) |
−0.419612 | + | 0.907704i | \(0.637834\pi\) | |||||||
\(312\) | −0.322018 | + | 0.207481i | −0.0182307 | + | 0.0117463i | ||||
\(313\) | 0.297274 | + | 0.171631i | 0.0168029 | + | 0.00970118i | 0.508378 | − | 0.861134i | \(-0.330245\pi\) |
−0.491575 | + | 0.870835i | \(0.663579\pi\) | |||||||
\(314\) | −5.38541 | + | 5.56341i | −0.303916 | + | 0.313962i | ||||
\(315\) | −0.347283 | + | 0.147220i | −0.0195672 | + | 0.00829489i | ||||
\(316\) | −20.0372 | + | 0.651708i | −1.12718 | + | 0.0366614i | ||||
\(317\) | −0.124691 | − | 0.465352i | −0.00700332 | − | 0.0261368i | 0.962336 | − | 0.271864i | \(-0.0876400\pi\) |
−0.969339 | + | 0.245727i | \(0.920973\pi\) | |||||||
\(318\) | 1.84833 | + | 3.08450i | 0.103649 | + | 0.172970i | ||||
\(319\) | 22.0077 | + | 38.1184i | 1.23219 | + | 2.13422i | ||||
\(320\) | 1.06770 | − | 0.401079i | 0.0596860 | − | 0.0224210i | ||||
\(321\) | 2.25049 | 0.125610 | ||||||||
\(322\) | 6.48052 | − | 16.7985i | 0.361145 | − | 0.936145i | ||||
\(323\) | −9.02717 | + | 9.02717i | −0.502285 | + | 0.502285i | ||||
\(324\) | 0.943167 | − | 1.76364i | 0.0523981 | − | 0.0979802i | ||||
\(325\) | 0.174555 | − | 0.651448i | 0.00968257 | − | 0.0361358i | ||||
\(326\) | 16.5169 | + | 4.13913i | 0.914787 | + | 0.229245i | ||||
\(327\) | −17.1856 | − | 9.92212i | −0.950366 | − | 0.548694i | ||||
\(328\) | −0.812490 | − | 16.6464i | −0.0448623 | − | 0.919142i | ||||
\(329\) | 0.871535 | + | 6.22258i | 0.0480493 | + | 0.343062i | ||||
\(330\) | −0.723865 | − | 0.700704i | −0.0398475 | − | 0.0385725i | ||||
\(331\) | −18.4365 | + | 4.94005i | −1.01336 | + | 0.271530i | −0.727034 | − | 0.686601i | \(-0.759102\pi\) |
−0.286329 | + | 0.958131i | \(0.592435\pi\) | |||||||
\(332\) | 4.57435 | + | 1.06761i | 0.251050 | + | 0.0585926i | ||||
\(333\) | −5.01001 | − | 1.34243i | −0.274547 | − | 0.0735646i | ||||
\(334\) | 10.9650 | + | 6.09517i | 0.599979 | + | 0.333513i | ||||
\(335\) | 0.0420444 | 0.00229713 | ||||||||
\(336\) | 0.609432 | − | 10.5654i | 0.0332472 | − | 0.576392i | ||||
\(337\) | 16.2089 | 0.882953 | 0.441477 | − | 0.897273i | \(-0.354455\pi\) | ||||
0.441477 | + | 0.897273i | \(0.354455\pi\) | |||||||
\(338\) | −16.0463 | − | 8.91975i | −0.872806 | − | 0.485170i | ||||
\(339\) | −9.01720 | − | 2.41615i | −0.489747 | − | 0.131227i | ||||
\(340\) | 0.335622 | − | 1.43803i | 0.0182017 | − | 0.0779880i | ||||
\(341\) | 23.5576 | − | 6.31225i | 1.27572 | − | 0.341827i | ||||
\(342\) | −2.50484 | − | 2.42469i | −0.135446 | − | 0.131112i | ||||
\(343\) | 7.50893 | + | 16.9297i | 0.405444 | + | 0.914120i | ||||
\(344\) | −1.15776 | − | 1.05000i | −0.0624223 | − | 0.0566123i | ||||
\(345\) | 0.594137 | + | 0.343025i | 0.0319872 | + | 0.0184678i | ||||
\(346\) | −14.4244 | − | 3.61474i | −0.775458 | − | 0.194329i | ||||
\(347\) | 4.88289 | − | 18.2232i | 0.262127 | − | 0.978272i | −0.701858 | − | 0.712317i | \(-0.747646\pi\) |
0.963985 | − | 0.265955i | \(-0.0856874\pi\) | |||||||
\(348\) | −15.5355 | − | 8.30813i | −0.832791 | − | 0.445362i | ||||
\(349\) | −20.0607 | + | 20.0607i | −1.07382 | + | 1.07382i | −0.0767754 | + | 0.997048i | \(0.524462\pi\) |
−0.997048 | + | 0.0767754i | \(0.975538\pi\) | |||||||
\(350\) | 11.7015 | + | 14.4995i | 0.625470 | + | 0.775031i | ||||
\(351\) | −0.135436 | −0.00722905 | ||||||||
\(352\) | 26.6187 | − | 9.50846i | 1.41878 | − | 0.506803i | ||||
\(353\) | 7.06919 | + | 12.2442i | 0.376255 | + | 0.651693i | 0.990514 | − | 0.137412i | \(-0.0438784\pi\) |
−0.614259 | + | 0.789104i | \(0.710545\pi\) | |||||||
\(354\) | −5.88236 | − | 9.81648i | −0.312644 | − | 0.521740i | ||||
\(355\) | 0.362382 | + | 1.35243i | 0.0192333 | + | 0.0717795i | ||||
\(356\) | −0.791499 | − | 24.3352i | −0.0419494 | − | 1.28976i | ||||
\(357\) | −10.9390 | − | 8.25120i | −0.578952 | − | 0.436700i | ||||
\(358\) | 14.9997 | − | 15.4955i | 0.792760 | − | 0.818963i | ||||
\(359\) | −1.38470 | − | 0.799455i | −0.0730815 | − | 0.0421936i | 0.463014 | − | 0.886351i | \(-0.346768\pi\) |
−0.536095 | + | 0.844157i | \(0.680101\pi\) | |||||||
\(360\) | 0.394127 | + | 0.0852542i | 0.0207723 | + | 0.00449329i | ||||
\(361\) | 11.1919 | − | 6.46166i | 0.589049 | − | 0.340087i | ||||
\(362\) | −15.6693 | + | 4.47282i | −0.823562 | + | 0.235086i | ||||
\(363\) | −9.87669 | − | 9.87669i | −0.518392 | − | 0.518392i | ||||
\(364\) | −0.650381 | + | 0.301012i | −0.0340892 | + | 0.0157773i | ||||
\(365\) | 1.43754 | − | 1.43754i | 0.0752442 | − | 0.0752442i | ||||
\(366\) | 5.62524 | + | 3.12693i | 0.294036 | + | 0.163447i | ||||
\(367\) | 3.74278 | + | 6.48269i | 0.195372 | + | 0.338393i | 0.947022 | − | 0.321168i | \(-0.104075\pi\) |
−0.751651 | + | 0.659561i | \(0.770742\pi\) | |||||||
\(368\) | −16.0090 | + | 10.6871i | −0.834525 | + | 0.557101i | ||||
\(369\) | 2.94619 | − | 5.10296i | 0.153373 | − | 0.265649i | ||||
\(370\) | −0.0169998 | − | 1.04562i | −0.000883779 | − | 0.0543592i | ||||
\(371\) | 2.62565 | + | 6.19376i | 0.136317 | + | 0.321564i | ||||
\(372\) | −6.67457 | + | 7.12334i | −0.346060 | + | 0.369328i | ||||
\(373\) | −17.1872 | + | 4.60530i | −0.889919 | + | 0.238453i | −0.674682 | − | 0.738109i | \(-0.735719\pi\) |
−0.215237 | + | 0.976562i | \(0.569053\pi\) | |||||||
\(374\) | 8.89595 | − | 35.4987i | 0.459998 | − | 1.83559i | ||||
\(375\) | −1.23216 | + | 0.711390i | −0.0636287 | + | 0.0367360i | ||||
\(376\) | 3.07099 | − | 5.97404i | 0.158374 | − | 0.308087i | ||||
\(377\) | 1.19303i | 0.0614440i | ||||||||
\(378\) | 2.20434 | − | 3.02339i | 0.113379 | − | 0.155506i | ||||
\(379\) | 4.84387 | + | 4.84387i | 0.248813 | + | 0.248813i | 0.820483 | − | 0.571670i | \(-0.193704\pi\) |
−0.571670 | + | 0.820483i | \(0.693704\pi\) | |||||||
\(380\) | 0.331469 | − | 0.619819i | 0.0170040 | − | 0.0317961i | ||||
\(381\) | 0.482629 | + | 0.129320i | 0.0247259 | + | 0.00662527i | ||||
\(382\) | 7.70453 | + | 12.8573i | 0.394198 | + | 0.657838i | ||||
\(383\) | −4.43857 | + | 7.68783i | −0.226800 | + | 0.392830i | −0.956858 | − | 0.290556i | \(-0.906160\pi\) |
0.730058 | + | 0.683385i | \(0.239493\pi\) | |||||||
\(384\) | −7.03984 | + | 8.85667i | −0.359251 | + | 0.451965i | ||||
\(385\) | −1.15968 | − | 1.48577i | −0.0591030 | − | 0.0757220i | ||||
\(386\) | −8.99516 | + | 0.146245i | −0.457842 | + | 0.00744365i | ||||
\(387\) | −0.143023 | − | 0.533769i | −0.00727026 | − | 0.0271330i | ||||
\(388\) | −13.2908 | − | 21.3835i | −0.674739 | − | 1.08558i | ||||
\(389\) | 5.90777 | − | 22.0481i | 0.299536 | − | 1.11788i | −0.638012 | − | 0.770026i | \(-0.720243\pi\) |
0.937548 | − | 0.347856i | \(-0.113090\pi\) | |||||||
\(390\) | −0.00749537 | − | 0.0262580i | −0.000379543 | − | 0.00132963i | ||||
\(391\) | 24.9211i | 1.26032i | ||||||||
\(392\) | 3.86588 | − | 19.4179i | 0.195257 | − | 0.980752i | ||||
\(393\) | 21.7689i | 1.09810i | ||||||||
\(394\) | 12.8732 | − | 3.67467i | 0.648544 | − | 0.185127i | ||||
\(395\) | 0.369874 | − | 1.38039i | 0.0186104 | − | 0.0694550i | ||||
\(396\) | 9.73201 | + | 2.27136i | 0.489052 | + | 0.114140i | ||||
\(397\) | 9.09376 | + | 33.9384i | 0.456403 | + | 1.70332i | 0.683931 | + | 0.729547i | \(0.260269\pi\) |
−0.227528 | + | 0.973772i | \(0.573064\pi\) | |||||||
\(398\) | 0.473573 | + | 29.1284i | 0.0237381 | + | 1.46007i | ||||
\(399\) | −4.01293 | − | 5.14131i | −0.200898 | − | 0.257388i | ||||
\(400\) | −1.29434 | − | 19.8766i | −0.0647169 | − | 0.993830i | ||||
\(401\) | −13.0918 | + | 22.6757i | −0.653774 | + | 1.13237i | 0.328425 | + | 0.944530i | \(0.393482\pi\) |
−0.982200 | + | 0.187841i | \(0.939851\pi\) | |||||||
\(402\) | −0.357750 | + | 0.214376i | −0.0178429 | + | 0.0106921i | ||||
\(403\) | 0.638523 | + | 0.171092i | 0.0318071 | + | 0.00852269i | ||||
\(404\) | −14.9534 | + | 4.53262i | −0.743961 | + | 0.225506i | ||||
\(405\) | 0.100811 | + | 0.100811i | 0.00500932 | + | 0.00500932i | ||||
\(406\) | −26.6323 | − | 19.4175i | −1.32174 | − | 0.963673i | ||||
\(407\) | − | 25.9170i | − | 1.28466i | ||||||
\(408\) | 4.47644 | + | 13.9472i | 0.221617 | + | 0.690491i | ||||
\(409\) | −18.0697 | + | 10.4326i | −0.893490 | + | 0.515857i | −0.875082 | − | 0.483974i | \(-0.839193\pi\) |
−0.0184074 | + | 0.999831i | \(0.505860\pi\) | |||||||
\(410\) | 1.15240 | + | 0.288790i | 0.0569128 | + | 0.0142623i | ||||
\(411\) | 21.1232 | − | 5.65995i | 1.04193 | − | 0.279185i | ||||
\(412\) | −1.16629 | − | 35.8584i | −0.0574590 | − | 1.76662i | ||||
\(413\) | −8.35618 | − | 19.7118i | −0.411181 | − | 0.969952i | ||||
\(414\) | −6.80443 | + | 0.110627i | −0.334420 | + | 0.00543704i | ||||
\(415\) | −0.167420 | + | 0.289980i | −0.00821833 | + | 0.0142346i | ||||
\(416\) | 0.753694 | + | 0.137551i | 0.0369529 | + | 0.00674400i | ||||
\(417\) | −9.50520 | − | 16.4635i | −0.465472 | − | 0.806221i | ||||
\(418\) | 8.46340 | − | 15.2254i | 0.413959 | − | 0.744698i | ||||
\(419\) | 10.9118 | − | 10.9118i | 0.533076 | − | 0.533076i | −0.388410 | − | 0.921487i | \(-0.626976\pi\) |
0.921487 | + | 0.388410i | \(0.126976\pi\) | |||||||
\(420\) | 0.708160 | + | 0.260049i | 0.0345547 | + | 0.0126891i | ||||
\(421\) | −10.8119 | − | 10.8119i | −0.526938 | − | 0.526938i | 0.392720 | − | 0.919658i | \(-0.371534\pi\) |
−0.919658 | + | 0.392720i | \(0.871534\pi\) | |||||||
\(422\) | 0.255005 | + | 0.893341i | 0.0124134 | + | 0.0434872i | ||||
\(423\) | 2.05670 | − | 1.18744i | 0.100000 | − | 0.0577351i | ||||
\(424\) | 1.52050 | − | 7.02922i | 0.0738420 | − | 0.341369i | ||||
\(425\) | −22.3339 | − | 12.8945i | −1.08335 | − | 0.625475i | ||||
\(426\) | −9.97920 | − | 9.65991i | −0.483494 | − | 0.468024i | ||||
\(427\) | 9.61255 | + | 7.25068i | 0.465184 | + | 0.350885i | ||||
\(428\) | −3.28445 | − | 3.07752i | −0.158760 | − | 0.148758i | ||||
\(429\) | −0.175154 | − | 0.653685i | −0.00845653 | − | 0.0315602i | ||||
\(430\) | 0.0955703 | − | 0.0572689i | 0.00460881 | − | 0.00276175i | ||||
\(431\) | 17.1278 | + | 29.6661i | 0.825015 | + | 1.42897i | 0.901908 | + | 0.431929i | \(0.142167\pi\) |
−0.0768926 | + | 0.997039i | \(0.524500\pi\) | |||||||
\(432\) | −3.78826 | + | 1.28416i | −0.182263 | + | 0.0617840i | ||||
\(433\) | 33.8838 | 1.62835 | 0.814175 | − | 0.580620i | \(-0.197190\pi\) | ||||
0.814175 | + | 0.580620i | \(0.197190\pi\) | |||||||
\(434\) | −14.2118 | + | 11.4693i | −0.682190 | + | 0.550545i | ||||
\(435\) | 0.888017 | − | 0.888017i | 0.0425772 | − | 0.0425772i | ||||
\(436\) | 11.5129 | + | 37.9819i | 0.551369 | + | 1.81900i | ||||
\(437\) | −3.07018 | + | 11.4581i | −0.146867 | + | 0.548113i | ||||
\(438\) | −4.90210 | + | 19.5615i | −0.234231 | + | 0.934685i | ||||
\(439\) | −18.7950 | − | 10.8513i | −0.897037 | − | 0.517904i | −0.0207991 | − | 0.999784i | \(-0.506621\pi\) |
−0.876238 | + | 0.481879i | \(0.839954\pi\) | |||||||
\(440\) | 0.0982286 | + | 2.01252i | 0.00468286 | + | 0.0959429i | ||||
\(441\) | 4.86736 | − | 5.03079i | 0.231779 | − | 0.239561i | ||||
\(442\) | 0.689910 | − | 0.712714i | 0.0328156 | − | 0.0339003i | ||||
\(443\) | 19.0104 | − | 5.09383i | 0.903213 | − | 0.242015i | 0.222817 | − | 0.974860i | \(-0.428475\pi\) |
0.680396 | + | 0.732845i | \(0.261808\pi\) | |||||||
\(444\) | 5.47604 | + | 8.81034i | 0.259881 | + | 0.418120i | ||||
\(445\) | 1.67648 | + | 0.449213i | 0.0794730 | + | 0.0212947i | ||||
\(446\) | 5.83123 | − | 10.4902i | 0.276117 | − | 0.496725i | ||||
\(447\) | −14.9390 | −0.706588 | ||||||||
\(448\) | −15.3376 | + | 14.5862i | −0.724634 | + | 0.689134i | ||||
\(449\) | 7.82130 | 0.369110 | 0.184555 | − | 0.982822i | \(-0.440916\pi\) | ||||
0.184555 | + | 0.982822i | \(0.440916\pi\) | |||||||
\(450\) | 3.42155 | − | 6.15526i | 0.161294 | − | 0.290162i | ||||
\(451\) | 28.4397 | + | 7.62039i | 1.33917 | + | 0.358830i | ||||
\(452\) | 9.85598 | + | 15.8572i | 0.463586 | + | 0.745859i | ||||
\(453\) | −8.35289 | + | 2.23815i | −0.392453 | + | 0.105158i | ||||
\(454\) | −7.91567 | + | 8.17731i | −0.371501 | + | 0.383780i | ||||
\(455\) | −0.00708600 | − | 0.0505926i | −0.000332197 | − | 0.00237182i | ||||
\(456\) | 0.339907 | + | 6.96404i | 0.0159176 | + | 0.326121i | ||||
\(457\) | −28.5156 | − | 16.4635i | −1.33391 | − | 0.770131i | −0.348010 | − | 0.937491i | \(-0.613142\pi\) |
−0.985896 | + | 0.167360i | \(0.946476\pi\) | |||||||
\(458\) | 0.275622 | − | 1.09985i | 0.0128790 | − | 0.0513927i | ||||
\(459\) | −1.34039 | + | 5.00239i | −0.0625638 | + | 0.233491i | ||||
\(460\) | −0.398022 | − | 1.31310i | −0.0185579 | − | 0.0612237i | ||||
\(461\) | 4.44057 | − | 4.44057i | 0.206818 | − | 0.206818i | −0.596096 | − | 0.802914i | \(-0.703282\pi\) |
0.802914 | + | 0.596096i | \(0.203282\pi\) | |||||||
\(462\) | 17.4432 | + | 6.72923i | 0.811532 | + | 0.313072i | ||||
\(463\) | −26.8244 | −1.24664 | −0.623319 | − | 0.781968i | \(-0.714216\pi\) | ||||
−0.623319 | + | 0.781968i | \(0.714216\pi\) | |||||||
\(464\) | 11.3118 | + | 33.3699i | 0.525138 | + | 1.54916i | ||||
\(465\) | −0.347928 | − | 0.602629i | −0.0161348 | − | 0.0279463i | ||||
\(466\) | −2.15150 | + | 1.28925i | −0.0996662 | + | 0.0597233i | ||||
\(467\) | −4.89634 | − | 18.2734i | −0.226576 | − | 0.845592i | −0.981767 | − | 0.190088i | \(-0.939123\pi\) |
0.755191 | − | 0.655504i | \(-0.227544\pi\) | |||||||
\(468\) | 0.197661 | + | 0.185208i | 0.00913688 | + | 0.00856125i | ||||
\(469\) | −0.718371 | + | 0.304531i | −0.0331713 | + | 0.0140619i | ||||
\(470\) | 0.344039 | + | 0.333031i | 0.0158693 | + | 0.0153616i | ||||
\(471\) | 4.74161 | + | 2.73757i | 0.218482 | + | 0.126140i | ||||
\(472\) | −4.83902 | + | 22.3706i | −0.222734 | + | 1.02969i | ||||
\(473\) | 2.39128 | − | 1.38060i | 0.109951 | − | 0.0634802i | ||||
\(474\) | 3.89111 | + | 13.6314i | 0.178725 | + | 0.626113i | ||||
\(475\) | −8.67998 | − | 8.67998i | −0.398265 | − | 0.398265i | ||||
\(476\) | 4.68131 | + | 27.0011i | 0.214567 | + | 1.23759i | ||||
\(477\) | 1.79795 | − | 1.79795i | 0.0823224 | − | 0.0823224i | ||||
\(478\) | 9.71514 | − | 17.4772i | 0.444360 | − | 0.799389i | ||||
\(479\) | −10.5124 | − | 18.2081i | −0.480326 | − | 0.831949i | 0.519419 | − | 0.854520i | \(-0.326148\pi\) |
−0.999745 | + | 0.0225705i | \(0.992815\pi\) | |||||||
\(480\) | −0.458620 | − | 0.663390i | −0.0209331 | − | 0.0302795i | ||||
\(481\) | 0.351237 | − | 0.608360i | 0.0160150 | − | 0.0277388i | ||||
\(482\) | −0.513833 | + | 0.00835397i | −0.0234044 | + | 0.000380513i | ||||
\(483\) | −12.6360 | − | 1.55755i | −0.574957 | − | 0.0708710i | ||||
\(484\) | 0.908118 | + | 27.9207i | 0.0412781 | + | 1.26912i | ||||
\(485\) | 1.73358 | − | 0.464512i | 0.0787180 | − | 0.0210924i | ||||
\(486\) | −1.37180 | − | 0.343771i | −0.0622259 | − | 0.0155938i | ||||
\(487\) | −1.07317 | + | 0.619594i | −0.0486299 | + | 0.0280765i | −0.524118 | − | 0.851646i | \(-0.675605\pi\) |
0.475488 | + | 0.879722i | \(0.342272\pi\) | |||||||
\(488\) | −3.93364 | − | 12.2560i | −0.178068 | − | 0.554805i | ||||
\(489\) | − | 12.0404i | − | 0.544484i | ||||||
\(490\) | 1.24473 | + | 0.665253i | 0.0562310 | + | 0.0300531i | ||||
\(491\) | 17.0854 | + | 17.0854i | 0.771053 | + | 0.771053i | 0.978291 | − | 0.207238i | \(-0.0664473\pi\) |
−0.207238 | + | 0.978291i | \(0.566447\pi\) | |||||||
\(492\) | −11.2781 | + | 3.41856i | −0.508454 | + | 0.154120i | ||||
\(493\) | 44.0648 | + | 11.8071i | 1.98458 | + | 0.531767i | ||||
\(494\) | 0.405005 | − | 0.242692i | 0.0182220 | − | 0.0109193i | ||||
\(495\) | −0.356189 | + | 0.616938i | −0.0160095 | + | 0.0277293i | ||||
\(496\) | 19.4822 | − | 1.26866i | 0.874779 | − | 0.0569644i | ||||
\(497\) | −15.9874 | − | 20.4828i | −0.717133 | − | 0.918781i | ||||
\(498\) | −0.0539939 | − | 3.32104i | −0.00241953 | − | 0.148819i | ||||
\(499\) | 3.53169 | + | 13.1804i | 0.158100 | + | 0.590038i | 0.998820 | + | 0.0485674i | \(0.0154656\pi\) |
−0.840720 | + | 0.541471i | \(0.817868\pi\) | |||||||
\(500\) | 2.77109 | + | 0.646745i | 0.123927 | + | 0.0289233i | ||||
\(501\) | 2.29594 | − | 8.56855i | 0.102575 | − | 0.382815i | ||||
\(502\) | −7.70446 | + | 2.19924i | −0.343867 | + | 0.0981571i | ||||
\(503\) | − | 25.2848i | − | 1.12739i | −0.825982 | − | 0.563697i | \(-0.809379\pi\) | ||
0.825982 | − | 0.563697i | \(-0.190621\pi\) | |||||||
\(504\) | −7.35156 | + | 1.39804i | −0.327465 | + | 0.0622736i | ||||
\(505\) | − | 1.11383i | − | 0.0495648i | ||||||
\(506\) | −9.33384 | − | 32.6986i | −0.414940 | − | 1.45363i | ||||
\(507\) | −3.35990 | + | 12.5393i | −0.149218 | + | 0.556891i | ||||
\(508\) | −0.527524 | − | 0.848727i | −0.0234051 | − | 0.0376562i | ||||
\(509\) | −1.59906 | − | 5.96776i | −0.0708769 | − | 0.264516i | 0.921390 | − | 0.388640i | \(-0.127055\pi\) |
−0.992267 | + | 0.124123i | \(0.960388\pi\) | |||||||
\(510\) | −1.04403 | + | 0.0169740i | −0.0462304 | + | 0.000751620i | ||||
\(511\) | −14.1496 | + | 34.9740i | −0.625941 | + | 1.54716i | ||||
\(512\) | 22.3857 | − | 3.29883i | 0.989316 | − | 0.145789i | ||||
\(513\) | −1.23255 | + | 2.13483i | −0.0544182 | + | 0.0942551i | ||||
\(514\) | 12.4861 | + | 20.8367i | 0.550737 | + | 0.919070i | ||||
\(515\) | 2.47034 | + | 0.661925i | 0.108856 | + | 0.0291679i | ||||
\(516\) | −0.521192 | + | 0.974586i | −0.0229442 | + | 0.0429037i | ||||
\(517\) | 8.39102 | + | 8.39102i | 0.369036 | + | 0.369036i | ||||
\(518\) | 7.86396 | + | 17.7423i | 0.345522 | + | 0.779553i | ||||
\(519\) | 10.5150i | 0.461555i | ||||||||
\(520\) | −0.0249686 | + | 0.0485718i | −0.00109495 | + | 0.00213002i | ||||
\(521\) | −25.7063 | + | 14.8415i | −1.12621 | + | 0.650220i | −0.942980 | − | 0.332850i | \(-0.891990\pi\) |
−0.183234 | + | 0.983069i | \(0.558657\pi\) | |||||||
\(522\) | −3.02820 | + | 12.0838i | −0.132541 | + | 0.528894i | ||||
\(523\) | −28.1158 | + | 7.53361i | −1.22942 | + | 0.329422i | −0.814353 | − | 0.580370i | \(-0.802908\pi\) |
−0.415066 | + | 0.909791i | \(0.636241\pi\) | |||||||
\(524\) | 29.7689 | − | 31.7704i | 1.30046 | − | 1.38790i | ||||
\(525\) | 7.93386 | − | 10.5183i | 0.346262 | − | 0.459055i | ||||
\(526\) | 0.180205 | + | 11.0840i | 0.00785732 | + | 0.483286i | ||||
\(527\) | 12.6387 | − | 21.8908i | 0.550549 | − | 0.953579i | ||||
\(528\) | −11.0972 | − | 16.6234i | −0.482944 | − | 0.723439i | ||||
\(529\) | 0.0781302 | + | 0.135326i | 0.00339697 | + | 0.00588372i | ||||
\(530\) | 0.448084 | + | 0.249078i | 0.0194635 | + | 0.0108193i | ||||
\(531\) | −5.72201 | + | 5.72201i | −0.248314 | + | 0.248314i | ||||
\(532\) | −1.17408 | + | 12.9911i | −0.0509030 | + | 0.563235i | ||||
\(533\) | 0.564302 | + | 0.564302i | 0.0244426 | + | 0.0244426i | ||||
\(534\) | −16.5554 | + | 4.72575i | −0.716422 | + | 0.204503i | ||||
\(535\) | 0.277861 | − | 0.160423i | 0.0120130 | − | 0.00693571i | ||||
\(536\) | 0.815271 | + | 0.176352i | 0.0352144 | + | 0.00761727i | ||||
\(537\) | −13.2066 | − | 7.62481i | −0.569905 | − | 0.329035i | ||||
\(538\) | −11.2957 | + | 11.6691i | −0.486994 | + | 0.503091i | ||||
\(539\) | 30.5759 | + | 16.9862i | 1.31700 | + | 0.731649i | ||||
\(540\) | −0.00926910 | − | 0.284985i | −0.000398878 | − | 0.0122638i | ||||
\(541\) | 8.77264 | + | 32.7400i | 0.377165 | + | 1.40760i | 0.850155 | + | 0.526533i | \(0.176508\pi\) |
−0.472990 | + | 0.881068i | \(0.656825\pi\) | |||||||
\(542\) | 19.6822 | + | 32.8457i | 0.845424 | + | 1.41084i | ||||
\(543\) | 5.76123 | + | 9.97874i | 0.247238 | + | 0.428229i | ||||
\(544\) | 12.5397 | − | 26.4766i | 0.537633 | − | 1.13518i | ||||
\(545\) | −2.82915 | −0.121187 | ||||||||
\(546\) | 0.318255 | + | 0.394355i | 0.0136200 | + | 0.0168768i | ||||
\(547\) | −11.8854 | + | 11.8854i | −0.508185 | + | 0.508185i | −0.913969 | − | 0.405784i | \(-0.866998\pi\) |
0.405784 | + | 0.913969i | \(0.366998\pi\) | |||||||
\(548\) | −38.5680 | − | 20.6255i | −1.64754 | − | 0.881078i | ||||
\(549\) | 1.17785 | − | 4.39581i | 0.0502696 | − | 0.187609i | ||||
\(550\) | 34.1334 | + | 8.55381i | 1.45545 | + | 0.364736i | ||||
\(551\) | 18.8052 | + | 10.8572i | 0.801129 | + | 0.462532i | ||||
\(552\) | 10.0819 | + | 9.14356i | 0.429116 | + | 0.389176i | ||||
\(553\) | 3.67859 | + | 26.2644i | 0.156430 | + | 1.11688i | ||||
\(554\) | −4.30142 | − | 4.16380i | −0.182750 | − | 0.176903i | ||||
\(555\) | −0.714266 | + | 0.191387i | −0.0303189 | + | 0.00812392i | ||||
\(556\) | −8.64146 | + | 37.0258i | −0.366479 | + | 1.57024i | ||||
\(557\) | 9.45494 | + | 2.53344i | 0.400619 | + | 0.107345i | 0.453502 | − | 0.891255i | \(-0.350175\pi\) |
−0.0528834 | + | 0.998601i | \(0.516841\pi\) | |||||||
\(558\) | 6.03315 | + | 3.35367i | 0.255403 | + | 0.141972i | ||||
\(559\) | 0.0748418 | 0.00316547 | ||||||||
\(560\) | −0.677901 | − | 1.34793i | −0.0286465 | − | 0.0569604i | ||||
\(561\) | −25.8775 | −1.09255 | ||||||||
\(562\) | −12.4181 | − | 6.90290i | −0.523826 | − | 0.291181i | ||||
\(563\) | −14.6498 | − | 3.92540i | −0.617415 | − | 0.165436i | −0.0634629 | − | 0.997984i | \(-0.520214\pi\) |
−0.553953 | + | 0.832548i | \(0.686881\pi\) | |||||||
\(564\) | −4.62543 | − | 1.07953i | −0.194766 | − | 0.0454565i | ||||
\(565\) | −1.28556 | + | 0.344465i | −0.0540840 | + | 0.0144918i | ||||
\(566\) | 23.0208 | + | 22.2842i | 0.967637 | + | 0.936677i | ||||
\(567\) | −2.45263 | − | 0.992272i | −0.103001 | − | 0.0416715i | ||||
\(568\) | 1.35418 | + | 27.7445i | 0.0568201 | + | 1.16414i | ||||
\(569\) | −14.5222 | − | 8.38437i | −0.608800 | − | 0.351491i | 0.163695 | − | 0.986511i | \(-0.447659\pi\) |
−0.772496 | + | 0.635020i | \(0.780992\pi\) | |||||||
\(570\) | −0.482107 | − | 0.120816i | −0.0201933 | − | 0.00506042i | ||||
\(571\) | 3.08681 | − | 11.5201i | 0.129179 | − | 0.482102i | −0.870775 | − | 0.491681i | \(-0.836383\pi\) |
0.999954 | + | 0.00957925i | \(0.00304922\pi\) | |||||||
\(572\) | −0.638283 | + | 1.19354i | −0.0266879 | + | 0.0499042i | ||||
\(573\) | 7.49450 | − | 7.49450i | 0.313087 | − | 0.313087i | ||||
\(574\) | −21.7816 | + | 3.41263i | −0.909146 | + | 0.142440i | ||||
\(575\) | −23.9627 | −0.999312 | ||||||||
\(576\) | 7.28481 | + | 3.30628i | 0.303534 | + | 0.137762i | ||||
\(577\) | −12.5849 | − | 21.7976i | −0.523915 | − | 0.907447i | −0.999612 | − | 0.0278382i | \(-0.991138\pi\) |
0.475698 | − | 0.879609i | \(-0.342196\pi\) | |||||||
\(578\) | −7.13874 | − | 11.9131i | −0.296932 | − | 0.495521i | ||||
\(579\) | 1.64645 | + | 6.14462i | 0.0684240 | + | 0.255362i | ||||
\(580\) | −2.51036 | + | 0.0816493i | −0.104237 | + | 0.00339030i | ||||
\(581\) | 0.760194 | − | 6.16724i | 0.0315382 | − | 0.255860i | ||||
\(582\) | −12.3824 | + | 12.7916i | −0.513265 | + | 0.530231i | ||||
\(583\) | 11.0030 | + | 6.35261i | 0.455699 | + | 0.263098i | ||||
\(584\) | 33.9045 | − | 21.8452i | 1.40298 | − | 0.903962i | ||||
\(585\) | −0.0167220 | + | 0.00965443i | −0.000691368 | + | 0.000399161i | ||||
\(586\) | −31.8402 | + | 9.08882i | −1.31531 | + | 0.375456i | ||||
\(587\) | −23.0438 | − | 23.0438i | −0.951118 | − | 0.951118i | 0.0477416 | − | 0.998860i | \(-0.484798\pi\) |
−0.998860 | + | 0.0477416i | \(0.984798\pi\) | |||||||
\(588\) | −13.9832 | + | 0.686056i | −0.576657 | + | 0.0282925i | ||||
\(589\) | 8.50777 | − | 8.50777i | 0.350557 | − | 0.350557i | ||||
\(590\) | −1.42604 | − | 0.792697i | −0.0587090 | − | 0.0326348i | ||||
\(591\) | −4.73317 | − | 8.19809i | −0.194697 | − | 0.337224i | ||||
\(592\) | 4.05614 | − | 20.3466i | 0.166706 | − | 0.836240i | ||||
\(593\) | 18.9664 | − | 32.8508i | 0.778858 | − | 1.34902i | −0.153742 | − | 0.988111i | \(-0.549133\pi\) |
0.932600 | − | 0.360911i | \(-0.117534\pi\) | |||||||
\(594\) | −0.114873 | − | 7.06557i | −0.00471330 | − | 0.289904i | ||||
\(595\) | −1.93878 | − | 0.238981i | −0.0794824 | − | 0.00979725i | ||||
\(596\) | 21.8025 | + | 20.4289i | 0.893065 | + | 0.836801i | ||||
\(597\) | 19.8977 | − | 5.33156i | 0.814357 | − | 0.218206i | ||||
\(598\) | 0.224047 | − | 0.894043i | 0.00916195 | − | 0.0365601i | ||||
\(599\) | −35.4478 | + | 20.4658i | −1.44836 | + | 0.836210i | −0.998384 | − | 0.0568307i | \(-0.981900\pi\) |
−0.449975 | + | 0.893041i | \(0.648567\pi\) | |||||||
\(600\) | −13.4108 | + | 4.30428i | −0.547495 | + | 0.175722i | ||||
\(601\) | − | 37.1917i | − | 1.51708i | −0.651625 | − | 0.758541i | \(-0.725912\pi\) | ||
0.651625 | − | 0.758541i | \(-0.274088\pi\) | |||||||
\(602\) | −1.21811 | + | 1.67072i | −0.0496466 | + | 0.0680935i | ||||
\(603\) | 0.208532 | + | 0.208532i | 0.00849207 | + | 0.00849207i | ||||
\(604\) | 15.2512 | + | 8.15608i | 0.620562 | + | 0.331866i | ||||
\(605\) | −1.92350 | − | 0.515399i | −0.0782013 | − | 0.0209540i | ||||
\(606\) | 5.67919 | + | 9.47743i | 0.230701 | + | 0.384994i | ||||
\(607\) | −5.19794 | + | 9.00310i | −0.210978 | + | 0.365424i | −0.952021 | − | 0.306033i | \(-0.900998\pi\) |
0.741043 | + | 0.671458i | \(0.234331\pi\) | |||||||
\(608\) | 9.02721 | − | 10.6284i | 0.366102 | − | 0.431039i | ||||
\(609\) | −8.74069 | + | 21.6046i | −0.354191 | + | 0.875464i | ||||
\(610\) | 0.917433 | − | 0.0149157i | 0.0371458 | − | 0.000603921i | ||||
\(611\) | 0.0832475 | + | 0.310684i | 0.00336783 | + | 0.0125689i | ||||
\(612\) | 8.79694 | − | 5.46771i | 0.355595 | − | 0.221019i | ||||
\(613\) | 5.85588 | − | 21.8544i | 0.236517 | − | 0.882693i | −0.740942 | − | 0.671568i | \(-0.765621\pi\) |
0.977459 | − | 0.211124i | \(-0.0677124\pi\) | |||||||
\(614\) | 5.29675 | + | 18.5557i | 0.213760 | + | 0.748849i | ||||
\(615\) | − | 0.840065i | − | 0.0338747i | ||||||
\(616\) | −16.2551 | − | 33.6744i | −0.654938 | − | 1.35678i | ||||
\(617\) | 18.1714i | 0.731555i | 0.930702 | + | 0.365777i | \(0.119197\pi\) | ||||
−0.930702 | + | 0.365777i | \(0.880803\pi\) | |||||||
\(618\) | −24.3947 | + | 6.96350i | −0.981300 | + | 0.280113i | ||||
\(619\) | 6.88682 | − | 25.7020i | 0.276805 | − | 1.03305i | −0.677818 | − | 0.735230i | \(-0.737074\pi\) |
0.954622 | − | 0.297819i | \(-0.0962592\pi\) | |||||||
\(620\) | −0.316311 | + | 1.35529i | −0.0127034 | + | 0.0544297i | ||||
\(621\) | 1.24546 | + | 4.64813i | 0.0499787 | + | 0.186523i | ||||
\(622\) | −0.662661 | − | 40.7587i | −0.0265703 | − | 1.63428i | ||||
\(623\) | −31.8981 | + | 4.46765i | −1.27797 | + | 0.178993i | ||||
\(624\) | −0.0352031 | − | 0.540600i | −0.00140925 | − | 0.0216413i | ||||
\(625\) | 12.3478 | − | 21.3870i | 0.493911 | − | 0.855478i | ||||
\(626\) | −0.416408 | + | 0.249526i | −0.0166430 | + | 0.00997304i | ||||
\(627\) | −11.8978 | − | 3.18800i | −0.475152 | − | 0.127317i | ||||
\(628\) | −3.17648 | − | 10.4794i | −0.126755 | − | 0.418175i | ||||
\(629\) | −18.9939 | − | 18.9939i | −0.757334 | − | 0.757334i | ||||
\(630\) | 0.0566445 | − | 0.530424i | 0.00225677 | − | 0.0211326i | ||||
\(631\) | − | 4.93700i | − | 0.196539i | −0.995160 | − | 0.0982694i | \(-0.968669\pi\) | ||
0.995160 | − | 0.0982694i | \(-0.0313307\pi\) | |||||||
\(632\) | 12.9621 | − | 25.2153i | 0.515604 | − | 1.00301i | ||||
\(633\) | 0.568909 | − | 0.328460i | 0.0226121 | − | 0.0130551i | ||||
\(634\) | 0.660886 | + | 0.165618i | 0.0262471 | + | 0.00657752i | ||||
\(635\) | 0.0688074 | − | 0.0184369i | 0.00273054 | − | 0.000731646i | ||||
\(636\) | −5.08268 | + | 0.165313i | −0.201541 | + | 0.00655511i | ||||
\(637\) | 0.487517 | + | 0.813101i | 0.0193161 | + | 0.0322162i | ||||
\(638\) | −62.2389 | + | 1.01189i | −2.46406 | + | 0.0400611i | ||||
\(639\) | −4.91043 | + | 8.50511i | −0.194253 | + | 0.336457i | ||||
\(640\) | −0.237853 | + | 1.59534i | −0.00940197 | + | 0.0630612i | ||||
\(641\) | 4.01060 | + | 6.94657i | 0.158409 | + | 0.274373i | 0.934295 | − | 0.356500i | \(-0.116030\pi\) |
−0.775886 | + | 0.630873i | \(0.782697\pi\) | |||||||
\(642\) | −1.54632 | + | 2.78178i | −0.0610283 | + | 0.109788i | ||||
\(643\) | −25.2361 | + | 25.2361i | −0.995215 | + | 0.995215i | −0.999989 | − | 0.00477361i | \(-0.998481\pi\) |
0.00477361 | + | 0.999989i | \(0.498481\pi\) | |||||||
\(644\) | 16.3115 | + | 19.5528i | 0.642763 | + | 0.770487i | ||||
\(645\) | −0.0557078 | − | 0.0557078i | −0.00219349 | − | 0.00219349i | ||||
\(646\) | −4.95568 | − | 17.3609i | −0.194979 | − | 0.683055i | ||||
\(647\) | 30.8905 | − | 17.8346i | 1.21443 | − | 0.701152i | 0.250710 | − | 0.968062i | \(-0.419336\pi\) |
0.963721 | + | 0.266910i | \(0.0860027\pi\) | |||||||
\(648\) | 1.53195 | + | 2.37763i | 0.0601805 | + | 0.0934023i | ||||
\(649\) | −35.0174 | − | 20.2173i | −1.37455 | − | 0.793598i | ||||
\(650\) | 0.685303 | + | 0.663376i | 0.0268798 | + | 0.0260197i | ||||
\(651\) | 10.3096 | + | 7.77645i | 0.404065 | + | 0.304783i | ||||
\(652\) | −16.4651 | + | 17.5722i | −0.644824 | + | 0.688180i | ||||
\(653\) | 8.65629 | + | 32.3057i | 0.338747 | + | 1.26422i | 0.899750 | + | 0.436406i | \(0.143749\pi\) |
−0.561003 | + | 0.827814i | \(0.689584\pi\) | |||||||
\(654\) | 24.0728 | − | 14.4252i | 0.941321 | − | 0.564071i | ||||
\(655\) | 1.55177 | + | 2.68775i | 0.0606328 | + | 0.105019i | ||||
\(656\) | 21.1345 | + | 10.4335i | 0.825163 | + | 0.407359i | ||||
\(657\) | 14.2598 | 0.556327 | ||||||||
\(658\) | −8.29043 | − | 3.19827i | −0.323194 | − | 0.124682i | ||||
\(659\) | 13.6657 | − | 13.6657i | 0.532340 | − | 0.532340i | −0.388928 | − | 0.921268i | \(-0.627155\pi\) |
0.921268 | + | 0.388928i | \(0.127155\pi\) | |||||||
\(660\) | 1.36350 | − | 0.413297i | 0.0530740 | − | 0.0160876i | ||||
\(661\) | 9.28075 | − | 34.6362i | 0.360979 | − | 1.34719i | −0.511811 | − | 0.859098i | \(-0.671025\pi\) |
0.872790 | − | 0.488095i | \(-0.162308\pi\) | |||||||
\(662\) | 6.56152 | − | 26.1833i | 0.255021 | − | 1.01764i | ||||
\(663\) | −0.607434 | − | 0.350702i | −0.0235908 | − | 0.0136201i | ||||
\(664\) | −4.46270 | + | 4.92069i | −0.173186 | + | 0.190960i | ||||
\(665\) | −0.861959 | − | 0.348727i | −0.0334253 | − | 0.0135230i | ||||
\(666\) | 5.10174 | − | 5.27037i | 0.197688 | − | 0.204223i | ||||
\(667\) | 40.9442 | − | 10.9710i | 1.58537 | − | 0.424798i | ||||
\(668\) | −15.0682 | + | 9.36560i | −0.583007 | + | 0.362366i | ||||
\(669\) | −8.19750 | − | 2.19651i | −0.316934 | − | 0.0849222i | ||||
\(670\) | −0.0288889 | + | 0.0519702i | −0.00111608 | + | 0.00200778i | ||||
\(671\) | 22.7397 | 0.877857 | ||||||||
\(672\) | 12.6410 | + | 8.01286i | 0.487636 | + | 0.309103i | ||||
\(673\) | 8.54935 | 0.329553 | 0.164777 | − | 0.986331i | \(-0.447310\pi\) | ||||
0.164777 | + | 0.986331i | \(0.447310\pi\) | |||||||
\(674\) | −11.1372 | + | 20.0354i | −0.428988 | + | 0.771735i | ||||
\(675\) | −4.81000 | − | 1.28883i | −0.185137 | − | 0.0496073i | ||||
\(676\) | 22.0510 | − | 13.7057i | 0.848115 | − | 0.527143i | ||||
\(677\) | 11.5242 | − | 3.08790i | 0.442910 | − | 0.118677i | −0.0304699 | − | 0.999536i | \(-0.509700\pi\) |
0.473380 | + | 0.880858i | \(0.343034\pi\) | |||||||
\(678\) | 9.18230 | − | 9.48581i | 0.352644 | − | 0.364300i | ||||
\(679\) | −26.2555 | + | 20.4931i | −1.00759 | + | 0.786454i | ||||
\(680\) | 1.54691 | + | 1.40293i | 0.0593212 | + | 0.0537999i | ||||
\(681\) | 6.96939 | + | 4.02378i | 0.267068 | + | 0.154192i | ||||
\(682\) | −8.38411 | + | 33.4562i | −0.321044 | + | 1.28110i | ||||
\(683\) | 13.3090 | − | 49.6698i | 0.509255 | − | 1.90056i | 0.0814882 | − | 0.996674i | \(-0.474033\pi\) |
0.427766 | − | 0.903889i | \(-0.359301\pi\) | |||||||
\(684\) | 4.71819 | − | 1.43016i | 0.180405 | − | 0.0546835i | ||||
\(685\) | 2.20456 | − | 2.20456i | 0.0842321 | − | 0.0842321i | ||||
\(686\) | −26.0859 | − | 2.35087i | −0.995964 | − | 0.0897567i | ||||
\(687\) | −0.801761 | −0.0305891 | ||||||||
\(688\) | 2.09339 | − | 0.709622i | 0.0798096 | − | 0.0270541i | ||||
\(689\) | 0.172186 | + | 0.298234i | 0.00655975 | + | 0.0113618i | ||||
\(690\) | −0.832239 | + | 0.498705i | −0.0316828 | + | 0.0189854i | ||||
\(691\) | −10.0762 | − | 37.6049i | −0.383317 | − | 1.43056i | −0.840803 | − | 0.541341i | \(-0.817917\pi\) |
0.457487 | − | 0.889217i | \(-0.348750\pi\) | |||||||
\(692\) | 14.3791 | − | 15.3459i | 0.546612 | − | 0.583365i | ||||
\(693\) | 1.61733 | − | 13.1209i | 0.0614372 | − | 0.498422i | ||||
\(694\) | 19.1702 | + | 18.5569i | 0.727692 | + | 0.704409i | ||||
\(695\) | −2.34716 | − | 1.35514i | −0.0890330 | − | 0.0514032i | ||||
\(696\) | 20.9440 | − | 13.4946i | 0.793880 | − | 0.511510i | ||||
\(697\) | 26.4275 | − | 15.2579i | 1.00101 | − | 0.577934i | ||||
\(698\) | −11.0128 | − | 38.5803i | −0.416840 | − | 1.46029i | ||||
\(699\) | 1.25410 | + | 1.25410i | 0.0474345 | + | 0.0474345i | ||||
\(700\) | −25.9626 | + | 4.50127i | −0.981296 | + | 0.170132i | ||||
\(701\) | 26.5728 | − | 26.5728i | 1.00364 | − | 1.00364i | 0.00364808 | − | 0.999993i | \(-0.498839\pi\) |
0.999993 | − | 0.00364808i | \(-0.00116122\pi\) | |||||||
\(702\) | 0.0930588 | − | 0.167410i | 0.00351228 | − | 0.00631847i | ||||
\(703\) | −6.39290 | − | 11.0728i | −0.241113 | − | 0.417619i | ||||
\(704\) | −6.53664 | + | 39.4361i | −0.246359 | + | 1.48630i | ||||
\(705\) | 0.169290 | − | 0.293219i | 0.00637583 | − | 0.0110433i | ||||
\(706\) | −19.9920 | + | 0.325033i | −0.752410 | + | 0.0122328i | ||||
\(707\) | 8.06756 | + | 19.0309i | 0.303412 | + | 0.715732i | ||||
\(708\) | 16.1757 | − | 0.526113i | 0.607921 | − | 0.0197726i | ||||
\(709\) | −15.0987 | + | 4.04567i | −0.567042 | + | 0.151938i | −0.530940 | − | 0.847410i | \(-0.678161\pi\) |
−0.0361025 | + | 0.999348i | \(0.511494\pi\) | |||||||
\(710\) | −1.92070 | − | 0.481327i | −0.0720826 | − | 0.0180639i | ||||
\(711\) | 8.68095 | − | 5.01195i | 0.325561 | − | 0.187963i | ||||
\(712\) | 30.6240 | + | 15.7425i | 1.14768 | + | 0.589973i | ||||
\(713\) | − | 23.4873i | − | 0.879604i | ||||||
\(714\) | 17.7153 | − | 7.85199i | 0.662980 | − | 0.293853i | ||||
\(715\) | −0.0682230 | − | 0.0682230i | −0.00255140 | − | 0.00255140i | ||||
\(716\) | 8.84729 | + | 29.1878i | 0.330639 | + | 1.09080i | ||||
\(717\) | −13.6575 | − | 3.65951i | −0.510048 | − | 0.136667i | ||||
\(718\) | 1.93962 | − | 1.16228i | 0.0723859 | − | 0.0433761i | ||||
\(719\) | 2.02122 | − | 3.50085i | 0.0753788 | − | 0.130560i | −0.825872 | − | 0.563857i | \(-0.809317\pi\) |
0.901251 | + | 0.433298i | \(0.142650\pi\) | |||||||
\(720\) | −0.376187 | + | 0.428593i | −0.0140197 | + | 0.0159727i | ||||
\(721\) | −47.0025 | + | 6.58318i | −1.75047 | + | 0.245170i | ||||
\(722\) | 0.297100 | + | 18.2739i | 0.0110569 | + | 0.680085i | ||||
\(723\) | 0.0940504 | + | 0.351001i | 0.00349777 | + | 0.0130539i | ||||
\(724\) | 5.23770 | − | 22.4418i | 0.194658 | − | 0.834043i | ||||
\(725\) | −11.3530 | + | 42.3701i | −0.421641 | + | 1.57359i | ||||
\(726\) | 18.9947 | − | 5.42204i | 0.704958 | − | 0.201231i | ||||
\(727\) | 31.6328i | 1.17320i | 0.809879 | + | 0.586598i | \(0.199533\pi\) | ||||
−0.809879 | + | 0.586598i | \(0.800467\pi\) | |||||||
\(728\) | 0.0748046 | − | 1.01075i | 0.00277244 | − | 0.0374608i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 0.789171 | + | 2.76465i | 0.0292085 | + | 0.102324i | ||||
\(731\) | 0.740694 | − | 2.76431i | 0.0273956 | − | 0.102242i | ||||
\(732\) | −7.73025 | + | 4.80471i | −0.285718 | + | 0.177587i | ||||
\(733\) | −0.292365 | − | 1.09112i | −0.0107988 | − | 0.0403015i | 0.960316 | − | 0.278913i | \(-0.0899743\pi\) |
−0.971115 | + | 0.238612i | \(0.923308\pi\) | |||||||
\(734\) | −10.5848 | + | 0.172089i | −0.390691 | + | 0.00635192i | ||||
\(735\) | 0.242345 | − | 0.968102i | 0.00893903 | − | 0.0357090i | ||||
\(736\) | −2.21021 | − | 27.1314i | −0.0814694 | − | 1.00008i | ||||
\(737\) | −0.736795 | + | 1.27617i | −0.0271402 | + | 0.0470082i | ||||
\(738\) | 4.28331 | + | 7.14799i | 0.157671 | + | 0.263121i | ||||
\(739\) | −16.5235 | − | 4.42747i | −0.607828 | − | 0.162867i | −0.0582399 | − | 0.998303i | \(-0.518549\pi\) |
−0.549589 | + | 0.835436i | \(0.685215\pi\) | |||||||
\(740\) | 1.30415 | + | 0.697436i | 0.0479414 | + | 0.0256383i | ||||
\(741\) | −0.236077 | − | 0.236077i | −0.00867249 | − | 0.00867249i | ||||
\(742\) | −9.46006 | − | 1.01025i | −0.347290 | − | 0.0370874i | ||||
\(743\) | 6.36981i | 0.233686i | 0.993150 | + | 0.116843i | \(0.0372774\pi\) | ||||
−0.993150 | + | 0.116843i | \(0.962723\pi\) | |||||||
\(744\) | −4.21888 | − | 13.1448i | −0.154672 | − | 0.481910i | ||||
\(745\) | −1.84447 | + | 1.06491i | −0.0675762 | + | 0.0390152i | ||||
\(746\) | 6.11689 | − | 24.4090i | 0.223955 | − | 0.893678i | ||||
\(747\) | −2.26861 | + | 0.607873i | −0.0830042 | + | 0.0222409i | ||||
\(748\) | 37.7667 | + | 35.3874i | 1.38089 | + | 1.29389i | ||||
\(749\) | −3.58558 | + | 4.75357i | −0.131014 | + | 0.173692i | ||||
\(750\) | −0.0327089 | − | 2.01185i | −0.00119436 | − | 0.0734623i | ||||
\(751\) | −6.47389 | + | 11.2131i | −0.236236 | + | 0.409172i | −0.959631 | − | 0.281262i | \(-0.909247\pi\) |
0.723395 | + | 0.690434i | \(0.242580\pi\) | |||||||
\(752\) | 5.27429 | + | 7.90076i | 0.192333 | + | 0.288111i | ||||
\(753\) | 2.83274 | + | 4.90645i | 0.103231 | + | 0.178801i | ||||
\(754\) | −1.47467 | − | 0.819733i | −0.0537044 | − | 0.0298529i | ||||
\(755\) | −0.871765 | + | 0.871765i | −0.0317268 | + | 0.0317268i | ||||
\(756\) | 2.22254 | + | 4.80212i | 0.0808329 | + | 0.174651i | ||||
\(757\) | −24.1962 | − | 24.1962i | −0.879425 | − | 0.879425i | 0.114050 | − | 0.993475i | \(-0.463617\pi\) |
−0.993475 | + | 0.114050i | \(0.963617\pi\) | |||||||
\(758\) | −9.31564 | + | 2.65916i | −0.338359 | + | 0.0965850i | ||||
\(759\) | −20.8235 | + | 12.0225i | −0.755847 | + | 0.436388i | ||||
\(760\) | 0.538391 | + | 0.835602i | 0.0195295 | + | 0.0303105i | ||||
\(761\) | −10.6629 | − | 6.15624i | −0.386530 | − | 0.223163i | 0.294125 | − | 0.955767i | \(-0.404972\pi\) |
−0.680656 | + | 0.732603i | \(0.738305\pi\) | |||||||
\(762\) | −0.491466 | + | 0.507711i | −0.0178039 | + | 0.0183924i | ||||
\(763\) | 48.3389 | − | 20.4917i | 1.74998 | − | 0.741850i | ||||
\(764\) | −21.1865 | + | 0.689087i | −0.766499 | + | 0.0249303i | ||||
\(765\) | 0.191096 | + | 0.713179i | 0.00690908 | + | 0.0257850i | ||||
\(766\) | −6.45299 | − | 10.7688i | −0.233156 | − | 0.389091i | ||||
\(767\) | −0.547985 | − | 0.949137i | −0.0197866 | − | 0.0342714i | ||||
\(768\) | −6.11043 | − | 14.7872i | −0.220491 | − | 0.533589i | ||||
\(769\) | 35.1091 | 1.26607 | 0.633033 | − | 0.774125i | \(-0.281810\pi\) | ||||
0.633033 | + | 0.774125i | \(0.281810\pi\) | |||||||
\(770\) | 2.63335 | − | 0.412580i | 0.0948995 | − | 0.0148684i | ||||
\(771\) | 12.1457 | − | 12.1457i | 0.437417 | − | 0.437417i | ||||
\(772\) | 5.99984 | − | 11.2192i | 0.215939 | − | 0.403788i | ||||
\(773\) | −12.0142 | + | 44.8375i | −0.432120 | + | 1.61269i | 0.315746 | + | 0.948844i | \(0.397745\pi\) |
−0.747866 | + | 0.663850i | \(0.768921\pi\) | |||||||
\(774\) | 0.758051 | + | 0.189967i | 0.0272476 | + | 0.00682823i | ||||
\(775\) | 21.0489 | + | 12.1526i | 0.756099 | + | 0.436534i | ||||
\(776\) | 35.5638 | − | 1.73583i | 1.27667 | − | 0.0623125i | ||||
\(777\) | 10.8177 | − | 8.44352i | 0.388084 | − | 0.302910i | ||||
\(778\) | 23.1939 | + | 22.4518i | 0.831542 | + | 0.804936i | ||||
\(779\) | 14.0303 | − | 3.75942i | 0.502689 | − | 0.134695i | ||||
\(780\) | 0.0376070 | + | 0.00877712i | 0.00134655 | + | 0.000314271i | ||||
\(781\) | −47.4005 | − | 12.7009i | −1.69612 | − | 0.454475i | ||||
\(782\) | −30.8044 | − | 17.1234i | −1.10156 | − | 0.612332i | ||||
\(783\) | 8.80876 | 0.314799 | ||||||||
\(784\) | 21.3458 | + | 18.1206i | 0.762349 | + | 0.647166i | ||||
\(785\) | 0.780578 | 0.0278600 | ||||||||
\(786\) | −26.9081 | − | 14.9575i | −0.959780 | − | 0.533517i | ||||
\(787\) | −29.7555 | − | 7.97296i | −1.06067 | − | 0.284205i | −0.314015 | − | 0.949418i | \(-0.601674\pi\) |
−0.746654 | + | 0.665213i | \(0.768341\pi\) | |||||||
\(788\) | −4.30306 | + | 18.4372i | −0.153290 | + | 0.656798i | ||||
\(789\) | 7.57152 | − | 2.02878i | 0.269553 | − | 0.0722265i | ||||
\(790\) | 1.45213 | + | 1.40567i | 0.0516644 | + | 0.0500113i | ||||
\(791\) | 19.4701 | − | 15.1970i | 0.692278 | − | 0.540341i | ||||
\(792\) | −9.49447 | + | 10.4689i | −0.337371 | + | 0.371995i | ||||
\(793\) | 0.533778 | + | 0.308177i | 0.0189550 | + | 0.0109437i | ||||
\(794\) | −48.1988 | − | 12.0786i | −1.71051 | − | 0.428653i | ||||
\(795\) | 0.0938231 | − | 0.350153i | 0.00332756 | − | 0.0124186i | ||||
\(796\) | −36.3303 | − | 19.4288i | −1.28769 | − | 0.688637i | ||||
\(797\) | −13.9401 | + | 13.9401i | −0.493783 | + | 0.493783i | −0.909496 | − | 0.415713i | \(-0.863532\pi\) |
0.415713 | + | 0.909496i | \(0.363532\pi\) | |||||||
\(798\) | 9.11236 | − | 1.42768i | 0.322574 | − | 0.0505393i | ||||
\(799\) | 12.2991 | 0.435111 | ||||||||
\(800\) | 25.4584 | + | 12.0574i | 0.900089 | + | 0.426293i | ||||
\(801\) | 6.08701 | + | 10.5430i | 0.215074 | + | 0.372519i | ||||
\(802\) | −19.0335 | − | 31.7631i | −0.672096 | − | 1.12159i | ||||
\(803\) | 18.4416 | + | 68.8250i | 0.650790 | + | 2.42878i | ||||
\(804\) | −0.0191736 | − | 0.589505i | −0.000676200 | − | 0.0207902i | ||||
\(805\) | −1.67116 | + | 0.708435i | −0.0589006 | + | 0.0249690i | ||||
\(806\) | −0.650215 | + | 0.671707i | −0.0229028 | + | 0.0236599i | ||||
\(807\) | 9.94538 | + | 5.74197i | 0.350094 | + | 0.202127i | ||||
\(808\) | 4.67189 | − | 21.5980i | 0.164356 | − | 0.759814i | ||||
\(809\) | 20.2704 | − | 11.7031i | 0.712668 | − | 0.411459i | −0.0993802 | − | 0.995050i | \(-0.531686\pi\) |
0.812048 | + | 0.583591i | \(0.198353\pi\) | |||||||
\(810\) | −0.193877 | + | 0.0553424i | −0.00681215 | + | 0.00194453i | ||||
\(811\) | 17.2887 | + | 17.2887i | 0.607088 | + | 0.607088i | 0.942184 | − | 0.335096i | \(-0.108769\pi\) |
−0.335096 | + | 0.942184i | \(0.608769\pi\) | |||||||
\(812\) | 42.3007 | − | 19.5778i | 1.48446 | − | 0.687046i | ||||
\(813\) | 19.1457 | − | 19.1457i | 0.671469 | − | 0.671469i | ||||
\(814\) | 32.0354 | + | 17.8077i | 1.12284 | + | 0.624158i | ||||
\(815\) | −0.858284 | − | 1.48659i | −0.0300644 | − | 0.0520731i | ||||
\(816\) | −20.3156 | − | 4.04997i | −0.711190 | − | 0.141777i | ||||
\(817\) | 0.681102 | − | 1.17970i | 0.0238287 | − | 0.0412726i | ||||
\(818\) | −0.479677 | − | 29.5038i | −0.0167715 | − | 1.03158i | ||||
\(819\) | 0.215784 | − | 0.286074i | 0.00754009 | − | 0.00999623i | ||||
\(820\) | −1.14878 | + | 1.22602i | −0.0401172 | + | 0.0428146i | ||||
\(821\) | 24.2646 | − | 6.50167i | 0.846839 | − | 0.226910i | 0.190793 | − | 0.981630i | \(-0.438894\pi\) |
0.656047 | + | 0.754720i | \(0.272227\pi\) | |||||||
\(822\) | −7.51771 | + | 29.9989i | −0.262210 | + | 1.04633i | ||||
\(823\) | −4.41178 | + | 2.54714i | −0.153785 | + | 0.0887879i | −0.574918 | − | 0.818211i | \(-0.694966\pi\) |
0.421133 | + | 0.906999i | \(0.361633\pi\) | |||||||
\(824\) | 45.1252 | + | 23.1968i | 1.57201 | + | 0.808100i | ||||
\(825\) | − | 24.8823i | − | 0.866291i | ||||||
\(826\) | 30.1068 | + | 3.21514i | 1.04755 | + | 0.111869i | ||||
\(827\) | −19.8436 | − | 19.8436i | −0.690030 | − | 0.690030i | 0.272208 | − | 0.962238i | \(-0.412246\pi\) |
−0.962238 | + | 0.272208i | \(0.912246\pi\) | |||||||
\(828\) | 4.53861 | − | 8.48682i | 0.157728 | − | 0.294937i | ||||
\(829\) | −19.5877 | − | 5.24851i | −0.680309 | − | 0.182288i | −0.0979148 | − | 0.995195i | \(-0.531217\pi\) |
−0.582394 | + | 0.812907i | \(0.697884\pi\) | |||||||
\(830\) | −0.243403 | − | 0.406191i | −0.00844865 | − | 0.0140991i | ||||
\(831\) | −2.11658 | + | 3.66603i | −0.0734235 | + | 0.127173i | ||||
\(832\) | −0.687890 | + | 0.837113i | −0.0238483 | + | 0.0290217i | ||||
\(833\) | 34.8570 | − | 9.95952i | 1.20772 | − | 0.345077i | ||||
\(834\) | 26.8812 | − | 0.437039i | 0.930821 | − | 0.0151334i | ||||
\(835\) | −0.327327 | − | 1.22160i | −0.0113276 | − | 0.0422752i | ||||
\(836\) | 13.0045 | + | 20.9229i | 0.449771 | + | 0.723632i | ||||
\(837\) | 1.26326 | − | 4.71457i | 0.0436648 | − | 0.162959i | ||||
\(838\) | 5.99029 | + | 20.9854i | 0.206931 | + | 0.724928i | ||||
\(839\) | 3.06714i | 0.105889i | 0.998597 | + | 0.0529447i | \(0.0168607\pi\) | ||||
−0.998597 | + | 0.0529447i | \(0.983139\pi\) | |||||||
\(840\) | −0.808020 | + | 0.696660i | −0.0278793 | + | 0.0240371i | ||||
\(841\) | − | 48.5943i | − | 1.67566i | ||||||
\(842\) | 20.7932 | − | 5.93543i | 0.716580 | − | 0.204548i | ||||
\(843\) | −2.60019 | + | 9.70405i | −0.0895553 | + | 0.334225i | ||||
\(844\) | −1.27945 | − | 0.298612i | −0.0440406 | − | 0.0102787i | ||||
\(845\) | 0.479014 | + | 1.78770i | 0.0164786 | + | 0.0614988i | ||||
\(846\) | 0.0545969 | + | 3.35813i | 0.00187708 | + | 0.115455i | ||||
\(847\) | 36.5980 | − | 5.12591i | 1.25752 | − | 0.176128i | ||||
\(848\) | 7.64392 | + | 6.70926i | 0.262493 | + | 0.230397i | ||||
\(849\) | 11.3278 | − | 19.6203i | 0.388768 | − | 0.673366i | ||||
\(850\) | 31.2843 | − | 18.7466i | 1.07304 | − | 0.643003i | ||||
\(851\) | −24.1086 | − | 6.45989i | −0.826433 | − | 0.221442i | ||||
\(852\) | 18.7971 | − | 5.69771i | 0.643980 | − | 0.195200i | ||||
\(853\) | 31.2169 | + | 31.2169i | 1.06885 | + | 1.06885i | 0.997448 | + | 0.0713978i | \(0.0227460\pi\) |
0.0713978 | + | 0.997448i | \(0.477254\pi\) | |||||||
\(854\) | −15.5672 | + | 6.89988i | −0.532699 | + | 0.236109i | ||||
\(855\) | 0.351443i | 0.0120191i | ||||||||
\(856\) | 6.06082 | − | 1.94525i | 0.207154 | − | 0.0664874i | ||||
\(857\) | −27.1179 | + | 15.6565i | −0.926330 | + | 0.534817i | −0.885649 | − | 0.464355i | \(-0.846286\pi\) |
−0.0406811 | + | 0.999172i | \(0.512953\pi\) | |||||||
\(858\) | 0.928355 | + | 0.232645i | 0.0316935 | + | 0.00794237i | ||||
\(859\) | −42.0363 | + | 11.2636i | −1.43426 | + | 0.384309i | −0.890520 | − | 0.454944i | \(-0.849659\pi\) |
−0.543741 | + | 0.839253i | \(0.682993\pi\) | |||||||
\(860\) | 0.00512208 | + | 0.157482i | 0.000174662 | + | 0.00537009i | ||||
\(861\) | 6.08465 | + | 14.3534i | 0.207364 | + | 0.489161i | ||||
\(862\) | −48.4382 | + | 0.787515i | −1.64981 | + | 0.0268229i | ||||
\(863\) | −18.3075 | + | 31.7095i | −0.623195 | + | 1.07941i | 0.365692 | + | 0.930736i | \(0.380832\pi\) |
−0.988887 | + | 0.148669i | \(0.952501\pi\) | |||||||
\(864\) | 1.01562 | − | 5.56494i | 0.0345519 | − | 0.189323i | ||||
\(865\) | 0.749547 | + | 1.29825i | 0.0254854 | + | 0.0441419i | ||||
\(866\) | −23.2817 | + | 41.8830i | −0.791143 | + | 1.42324i | ||||
\(867\) | −6.94414 | + | 6.94414i | −0.235835 | + | 0.235835i | ||||
\(868\) | −4.41196 | − | 25.4476i | −0.149752 | − | 0.863746i | ||||
\(869\) | 35.4170 | + | 35.4170i | 1.20144 | + | 1.20144i | ||||
\(870\) | 0.487498 | + | 1.70782i | 0.0165277 | + | 0.0579005i | ||||
\(871\) | −0.0345902 | + | 0.0199706i | −0.00117204 | + | 0.000676680i | ||||
\(872\) | −54.8592 | − | 11.8667i | −1.85777 | − | 0.401856i | ||||
\(873\) | 10.9021 | + | 6.29433i | 0.368980 | + | 0.213031i | ||||
\(874\) | −12.0535 | − | 11.6679i | −0.407716 | − | 0.394671i | ||||
\(875\) | 0.460517 | − | 3.73605i | 0.0155683 | − | 0.126301i | ||||
\(876\) | −20.8113 | − | 19.5002i | −0.703148 | − | 0.658849i | ||||
\(877\) | −0.494557 | − | 1.84571i | −0.0167000 | − | 0.0623252i | 0.957073 | − | 0.289847i | \(-0.0936044\pi\) |
−0.973773 | + | 0.227522i | \(0.926938\pi\) | |||||||
\(878\) | 26.3272 | − | 15.7761i | 0.888499 | − | 0.532418i | ||||
\(879\) | 11.7069 | + | 20.2769i | 0.394863 | + | 0.683922i | ||||
\(880\) | −2.55512 | − | 1.26139i | −0.0861331 | − | 0.0425214i | ||||
\(881\) | −33.9062 | −1.14233 | −0.571164 | − | 0.820836i | \(-0.693508\pi\) | ||||
−0.571164 | + | 0.820836i | \(0.693508\pi\) | |||||||
\(882\) | 2.87407 | + | 9.47311i | 0.0967750 | + | 0.318976i | ||||
\(883\) | 35.2802 | − | 35.2802i | 1.18727 | − | 1.18727i | 0.209455 | − | 0.977818i | \(-0.432831\pi\) |
0.977818 | − | 0.209455i | \(-0.0671689\pi\) | |||||||
\(884\) | 0.406930 | + | 1.34249i | 0.0136865 | + | 0.0451528i | ||||
\(885\) | −0.298594 | + | 1.11437i | −0.0100371 | + | 0.0374591i | ||||
\(886\) | −6.76577 | + | 26.9984i | −0.227301 | + | 0.907028i | ||||
\(887\) | −10.1685 | − | 5.87076i | −0.341423 | − | 0.197121i | 0.319478 | − | 0.947594i | \(-0.396492\pi\) |
−0.660901 | + | 0.750473i | \(0.729826\pi\) | |||||||
\(888\) | −14.6529 | + | 0.715190i | −0.491718 | + | 0.0240002i | ||||
\(889\) | −1.04210 | + | 0.813390i | −0.0349510 | + | 0.0272802i | ||||
\(890\) | −1.70718 | + | 1.76361i | −0.0572248 | + | 0.0591163i | ||||
\(891\) | −4.82651 | + | 1.29326i | −0.161694 | + | 0.0433258i | ||||
\(892\) | 8.96004 | + | 14.4157i | 0.300004 | + | 0.482674i | ||||
\(893\) | 5.65479 | + | 1.51520i | 0.189230 | + | 0.0507041i | ||||
\(894\) | 10.2646 | − | 18.4657i | 0.343300 | − | 0.617586i | ||||
\(895\) | −2.17411 | −0.0726724 | ||||||||
\(896\) | −7.49118 | − | 28.9807i | −0.250263 | − | 0.968178i | ||||
\(897\) | −0.651732 | −0.0217607 | ||||||||
\(898\) | −5.37404 | + | 9.66773i | −0.179334 | + | 0.322616i | ||||
\(899\) | −41.5295 | − | 11.1278i | −1.38509 | − | 0.371133i | ||||
\(900\) | 5.25742 | + | 8.45861i | 0.175247 | + | 0.281954i | ||||
\(901\) | 12.7195 | − | 3.40817i | 0.423747 | − | 0.113543i | ||||
\(902\) | −28.9604 | + | 29.9177i | −0.964277 | + | 0.996149i | ||||
\(903\) | 1.35532 | + | 0.548328i | 0.0451022 | + | 0.0182472i | ||||
\(904\) | −26.3728 | + | 1.28722i | −0.877146 | + | 0.0428125i | ||||
\(905\) | 1.42265 | + | 0.821365i | 0.0472904 | + | 0.0273031i | ||||
\(906\) | 2.97278 | − | 11.8627i | 0.0987639 | − | 0.394111i | ||||
\(907\) | −12.9212 | + | 48.2227i | −0.429043 | + | 1.60121i | 0.325890 | + | 0.945408i | \(0.394336\pi\) |
−0.754933 | + | 0.655802i | \(0.772331\pi\) | |||||||
\(908\) | −4.66891 | − | 15.4031i | −0.154943 | − | 0.511168i | ||||
\(909\) | 5.52437 | − | 5.52437i | 0.183232 | − | 0.183232i | ||||
\(910\) | 0.0674052 | + | 0.0260035i | 0.00223446 | + | 0.000862008i | ||||
\(911\) | 0.183986 | 0.00609572 | 0.00304786 | − | 0.999995i | \(-0.499030\pi\) | ||||
0.00304786 | + | 0.999995i | \(0.499030\pi\) | |||||||
\(912\) | −8.84165 | − | 4.36487i | −0.292776 | − | 0.144535i | ||||
\(913\) | −5.86781 | − | 10.1633i | −0.194196 | − | 0.336358i | ||||
\(914\) | 39.9434 | − | 23.9354i | 1.32121 | − | 0.791713i | ||||
\(915\) | −0.167924 | − | 0.626701i | −0.00555140 | − | 0.0207181i | ||||
\(916\) | 1.17012 | + | 1.09640i | 0.0386619 | + | 0.0362262i | ||||
\(917\) | −45.9812 | − | 34.6833i | −1.51843 | − | 1.14534i | ||||
\(918\) | −5.26235 | − | 5.09398i | −0.173684 | − | 0.168126i | ||||
\(919\) | −35.0067 | − | 20.2112i | −1.15477 | − | 0.666704i | −0.204722 | − | 0.978820i | \(-0.565629\pi\) |
−0.950044 | + | 0.312116i | \(0.898962\pi\) | |||||||
\(920\) | 1.89658 | + | 0.410251i | 0.0625283 | + | 0.0135256i | ||||
\(921\) | 11.8169 | − | 6.82249i | 0.389380 | − | 0.224809i | ||||
\(922\) | 2.43776 | + | 8.54003i | 0.0802833 | + | 0.281251i | ||||
\(923\) | −0.940523 | − | 0.940523i | −0.0309577 | − | 0.0309577i | ||||
\(924\) | −20.3032 | + | 16.9375i | −0.667925 | + | 0.557203i | ||||
\(925\) | 18.2634 | − | 18.2634i | 0.600495 | − | 0.600495i | ||||
\(926\) | 18.4312 | − | 33.1571i | 0.605686 | − | 1.08961i | ||||
\(927\) | 8.96935 | + | 15.5354i | 0.294592 | + | 0.510248i | ||||
\(928\) | −49.0202 | − | 8.94631i | −1.60917 | − | 0.293677i | ||||
\(929\) | −1.81799 | + | 3.14886i | −0.0596465 | + | 0.103311i | −0.894307 | − | 0.447454i | \(-0.852331\pi\) |
0.834660 | + | 0.550765i | \(0.185664\pi\) | |||||||
\(930\) | 0.983959 | − | 0.0159973i | 0.0322653 | − | 0.000524574i | ||||
\(931\) | 17.2533 | − | 0.284882i | 0.565454 | − | 0.00933661i | ||||
\(932\) | −0.115309 | − | 3.54526i | −0.00377708 | − | 0.116129i | ||||
\(933\) | −27.8424 | + | 7.46035i | −0.911520 | + | 0.244241i | ||||
\(934\) | 25.9516 | + | 6.50346i | 0.849164 | + | 0.212800i | ||||
\(935\) | −3.19503 | + | 1.84465i | −0.104489 | + | 0.0603266i | ||||
\(936\) | −0.364745 | + | 0.117067i | −0.0119221 | + | 0.00382646i | ||||
\(937\) | 56.0184i | 1.83004i | 0.403405 | + | 0.915021i | \(0.367826\pi\) | ||||
−0.403405 | + | 0.915021i | \(0.632174\pi\) | |||||||
\(938\) | 0.117172 | − | 1.09721i | 0.00382580 | − | 0.0358251i | ||||
\(939\) | 0.242723 | + | 0.242723i | 0.00792098 | + | 0.00792098i | ||||
\(940\) | −0.648043 | + | 0.196432i | −0.0211368 | + | 0.00640691i | ||||
\(941\) | −35.4523 | − | 9.49941i | −1.15571 | − | 0.309672i | −0.370460 | − | 0.928848i | \(-0.620800\pi\) |
−0.785252 | + | 0.619176i | \(0.787467\pi\) | |||||||
\(942\) | −6.64182 | + | 3.98000i | −0.216402 | + | 0.129675i | ||||
\(943\) | 14.1774 | − | 24.5559i | 0.461679 | − | 0.799651i | ||||
\(944\) | −24.3269 | − | 21.3524i | −0.791774 | − | 0.694960i | ||||
\(945\) | −0.373553 | + | 0.0523198i | −0.0121517 | + | 0.00170196i | ||||
\(946\) | 0.0634786 | + | 3.90442i | 0.00206387 | + | 0.126944i | ||||
\(947\) | 8.77905 | + | 32.7639i | 0.285281 | + | 1.06468i | 0.948634 | + | 0.316376i | \(0.102466\pi\) |
−0.663353 | + | 0.748307i | \(0.730867\pi\) | |||||||
\(948\) | −19.5231 | − | 4.55651i | −0.634082 | − | 0.147989i | ||||
\(949\) | −0.499855 | + | 1.86549i | −0.0162260 | + | 0.0605562i | ||||
\(950\) | 16.6932 | − | 4.76508i | 0.541599 | − | 0.154600i | ||||
\(951\) | − | 0.481767i | − | 0.0156224i | ||||||
\(952\) | −36.5920 | − | 12.7661i | −1.18595 | − | 0.413752i | ||||
\(953\) | 17.4729i | 0.566003i | 0.959119 | + | 0.283002i | \(0.0913302\pi\) | ||||
−0.959119 | + | 0.283002i | \(0.908670\pi\) | |||||||
\(954\) | 0.987027 | + | 3.45778i | 0.0319562 | + | 0.111950i | ||||
\(955\) | 0.391089 | − | 1.45956i | 0.0126553 | − | 0.0472304i | ||||
\(956\) | 14.9279 | + | 24.0173i | 0.482803 | + | 0.776776i | ||||
\(957\) | 11.3920 | + | 42.5156i | 0.368252 | + | 1.37433i | ||||
\(958\) | 29.7298 | − | 0.483351i | 0.960525 | − | 0.0156164i | ||||
\(959\) | −21.6994 | + | 53.6350i | −0.700710 | + | 1.73197i | ||||
\(960\) | 1.13512 | − | 0.111072i | 0.0366359 | − | 0.00358485i | ||||
\(961\) | 3.58851 | − | 6.21549i | 0.115759 | − | 0.200500i | ||||
\(962\) | 0.510644 | + | 0.852162i | 0.0164638 | + | 0.0274748i | ||||
\(963\) | 2.17380 | + | 0.582469i | 0.0700498 | + | 0.0187698i | ||||
\(964\) | 0.342730 | − | 0.640877i | 0.0110386 | − | 0.0206413i | ||||
\(965\) | 0.641295 | + | 0.641295i | 0.0206440 | + | 0.0206440i | ||||
\(966\) | 10.6075 | − | 14.5488i | 0.341290 | − | 0.468102i | ||||
\(967\) | − | 43.2766i | − | 1.39168i | −0.718196 | − | 0.695841i | \(-0.755032\pi\) | ||
0.718196 | − | 0.695841i | \(-0.244968\pi\) | |||||||
\(968\) | −35.1362 | − | 18.0619i | −1.12932 | − | 0.580533i | ||||
\(969\) | −11.0560 | + | 6.38317i | −0.355169 | + | 0.205057i | ||||
\(970\) | −0.616979 | + | 2.46201i | −0.0198100 | + | 0.0790505i | ||||
\(971\) | −26.7945 | + | 7.17957i | −0.859877 | + | 0.230403i | −0.661705 | − | 0.749764i | \(-0.730167\pi\) |
−0.198172 | + | 0.980167i | \(0.563500\pi\) | |||||||
\(972\) | 1.36749 | − | 1.45944i | 0.0438624 | − | 0.0468115i | ||||
\(973\) | 49.9190 | + | 6.15318i | 1.60033 | + | 0.197262i | ||||
\(974\) | −0.0284882 | − | 1.75224i | −0.000912822 | − | 0.0561455i | ||||
\(975\) | 0.337214 | − | 0.584072i | 0.0107995 | − | 0.0187053i | ||||
\(976\) | 17.8522 | + | 3.55888i | 0.571436 | + | 0.113917i | ||||
\(977\) | 14.5770 | + | 25.2481i | 0.466360 | + | 0.807759i | 0.999262 | − | 0.0384182i | \(-0.0122319\pi\) |
−0.532902 | + | 0.846177i | \(0.678899\pi\) | |||||||
\(978\) | 14.8828 | + | 8.27298i | 0.475900 | + | 0.264541i | ||||
\(979\) | −43.0139 | + | 43.0139i | −1.37473 | + | 1.37473i | ||||
\(980\) | −1.67756 | + | 1.08148i | −0.0535877 | + | 0.0345466i | ||||
\(981\) | −14.0320 | − | 14.0320i | −0.448007 | − | 0.448007i | ||||
\(982\) | −32.8583 | + | 9.37944i | −1.04855 | + | 0.299310i | ||||
\(983\) | 16.3548 | − | 9.44247i | 0.521638 | − | 0.301168i | −0.215966 | − | 0.976401i | \(-0.569290\pi\) |
0.737605 | + | 0.675233i | \(0.235957\pi\) | |||||||
\(984\) | 3.52359 | − | 16.2895i | 0.112328 | − | 0.519289i | ||||
\(985\) | −1.16878 | − | 0.674798i | −0.0372405 | − | 0.0215008i | ||||
\(986\) | −44.8716 | + | 46.3548i | −1.42900 | + | 1.47624i | ||||
\(987\) | −0.768684 | + | 6.23612i | −0.0244675 | + | 0.198498i | ||||
\(988\) | 0.0217062 | + | 0.667373i | 0.000690567 | + | 0.0212320i | ||||
\(989\) | −0.688240 | − | 2.56855i | −0.0218847 | − | 0.0816750i | ||||
\(990\) | −0.517845 | − | 0.864179i | −0.0164582 | − | 0.0274654i | ||||
\(991\) | 16.1545 | + | 27.9805i | 0.513165 | + | 0.888829i | 0.999883 | + | 0.0152695i | \(0.00486061\pi\) |
−0.486718 | + | 0.873559i | \(0.661806\pi\) | |||||||
\(992\) | −11.8182 | + | 24.9533i | −0.375227 | + | 0.792267i | ||||
\(993\) | −19.0869 | −0.605704 | ||||||||
\(994\) | 36.3034 | − | 5.68783i | 1.15147 | − | 0.180407i | ||||
\(995\) | 2.07666 | − | 2.07666i | 0.0658345 | − | 0.0658345i | ||||
\(996\) | 4.14216 | + | 2.21516i | 0.131249 | + | 0.0701900i | ||||
\(997\) | −4.91856 | + | 18.3563i | −0.155772 | + | 0.581350i | 0.843266 | + | 0.537497i | \(0.180630\pi\) |
−0.999038 | + | 0.0438531i | \(0.986037\pi\) | |||||||
\(998\) | −18.7187 | − | 4.69089i | −0.592530 | − | 0.148488i | ||||
\(999\) | −4.49185 | − | 2.59337i | −0.142116 | − | 0.0820506i |
(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 | 336.2.bq.b.37.11 | ✓ | 120 | |
7.4 | even | 3 | inner | 336.2.bq.b.277.10 | yes | 120 | |
16.13 | even | 4 | inner | 336.2.bq.b.205.10 | yes | 120 | |
112.109 | even | 12 | inner | 336.2.bq.b.109.11 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.b.37.11 | ✓ | 120 | 1.1 | even | 1 | trivial | |
336.2.bq.b.109.11 | yes | 120 | 112.109 | even | 12 | inner | |
336.2.bq.b.205.10 | yes | 120 | 16.13 | even | 4 | inner | |
336.2.bq.b.277.10 | yes | 120 | 7.4 | even | 3 | inner |