Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(5,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.s (of order \(22\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 161.8 | ||
Character | \(\chi\) | \(=\) | 804.161 |
Dual form | 804.2.s.b.5.8 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{22}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.786808 | + | 1.54303i | −0.454264 | + | 0.890867i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.966140 | + | 0.283684i | 0.432071 | + | 0.126867i | 0.490534 | − | 0.871422i | \(-0.336802\pi\) |
−0.0584631 | + | 0.998290i | \(0.518620\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.54930 | − | 1.34247i | 0.585579 | − | 0.507407i | −0.310930 | − | 0.950433i | \(-0.600640\pi\) |
0.896509 | + | 0.443026i | \(0.146095\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.76187 | − | 2.42813i | −0.587288 | − | 0.809378i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.68695 | + | 0.788959i | 0.810145 | + | 0.237880i | 0.660467 | − | 0.750855i | \(-0.270358\pi\) |
0.149678 | + | 0.988735i | \(0.452176\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.303154 | − | 0.471717i | 0.0840798 | − | 0.130831i | −0.796666 | − | 0.604419i | \(-0.793405\pi\) |
0.880746 | + | 0.473588i | \(0.157042\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.19790 | + | 1.26757i | −0.309296 | + | 0.327286i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.99315 | − | 0.430350i | 0.725946 | − | 0.104375i | 0.230572 | − | 0.973055i | \(-0.425940\pi\) |
0.495374 | + | 0.868680i | \(0.335031\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.48728 | − | 4.02453i | 0.800036 | − | 0.923291i | −0.198347 | − | 0.980132i | \(-0.563557\pi\) |
0.998383 | + | 0.0568410i | \(0.0181028\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.852473 | + | 3.44688i | 0.186025 | + | 0.752170i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.38260 | + | 0.631411i | 0.288292 | + | 0.131658i | 0.554312 | − | 0.832309i | \(-0.312982\pi\) |
−0.266020 | + | 0.963967i | \(0.585709\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.35332 | − | 2.15505i | −0.670664 | − | 0.431009i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.13293 | − | 0.808130i | 0.987832 | − | 0.155525i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.01679i | 0.188814i | 0.995534 | + | 0.0944069i | \(0.0300955\pi\) | ||||
−0.995534 | + | 0.0944069i | \(0.969905\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.77218 | + | 2.75757i | 0.318293 | + | 0.495274i | 0.963126 | − | 0.269049i | \(-0.0867095\pi\) |
−0.644833 | + | 0.764323i | \(0.723073\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.33150 | + | 3.52527i | −0.579939 | + | 0.613671i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.87767 | − | 0.857505i | 0.317385 | − | 0.144945i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.414150 | 0.0680858 | 0.0340429 | − | 0.999420i | \(-0.489162\pi\) | ||||
0.0340429 | + | 0.999420i | \(0.489162\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.489348 | + | 0.838926i | 0.0783584 | + | 0.134336i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.649850 | + | 4.51980i | 0.101489 | + | 0.705875i | 0.975505 | + | 0.219977i | \(0.0705982\pi\) |
−0.874016 | + | 0.485898i | \(0.838493\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.863281 | − | 0.124121i | 0.131649 | − | 0.0189283i | −0.0761752 | − | 0.997094i | \(-0.524271\pi\) |
0.207824 | + | 0.978166i | \(0.433362\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.01338 | − | 2.84573i | −0.151066 | − | 0.424216i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.67750 | + | 0.766089i | 0.244689 | + | 0.111746i | 0.533985 | − | 0.845494i | \(-0.320694\pi\) |
−0.289296 | + | 0.957240i | \(0.593421\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.398118 | + | 2.76897i | −0.0568740 | + | 0.395568i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.69099 | + | 4.95712i | −0.236787 | + | 0.694135i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.21708 | + | 8.46498i | −0.167179 | + | 1.16275i | 0.717502 | + | 0.696557i | \(0.245285\pi\) |
−0.884681 | + | 0.466197i | \(0.845624\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.37215 | + | 1.52449i | 0.319861 | + | 0.205562i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.46614 | + | 8.54750i | 0.459102 | + | 1.13214i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.75024 | + | 2.72343i | 0.227862 | + | 0.354560i | 0.936293 | − | 0.351220i | \(-0.114233\pi\) |
−0.708431 | + | 0.705780i | \(0.750597\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.230536 | − | 0.785133i | −0.0295171 | − | 0.100526i | 0.943417 | − | 0.331609i | \(-0.107591\pi\) |
−0.972934 | + | 0.231083i | \(0.925773\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.98935 | − | 1.39664i | −0.754588 | − | 0.175960i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.426708 | − | 0.369744i | 0.0529266 | − | 0.0458612i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.16532 | + | 0.572263i | 0.997553 | + | 0.0699131i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.06212 | + | 1.63659i | −0.248251 | + | 0.197022i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.98320 | + | 0.428919i | 0.354040 | + | 0.0509033i | 0.317041 | − | 0.948412i | \(-0.397311\pi\) |
0.0369996 | + | 0.999315i | \(0.488220\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.06133 | + | 0.898887i | −0.358301 | + | 0.105207i | −0.455929 | − | 0.890016i | \(-0.650693\pi\) |
0.0976275 | + | 0.995223i | \(0.468875\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.96371 | − | 3.47865i | 0.688630 | − | 0.401680i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.22203 | − | 2.38482i | 0.595106 | − | 0.271776i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.0461512 | − | 0.0718126i | 0.00519241 | − | 0.00807955i | −0.838648 | − | 0.544674i | \(-0.816653\pi\) |
0.843840 | + | 0.536595i | \(0.180290\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.79166 | + | 8.55609i | −0.310185 | + | 0.950676i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.01301 | − | 10.2614i | 0.330720 | − | 1.12633i | −0.611474 | − | 0.791264i | \(-0.709423\pi\) |
0.942195 | − | 0.335066i | \(-0.108759\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.01389 | + | 0.433331i | 0.326902 | + | 0.0470014i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.56894 | − | 0.800022i | −0.168208 | − | 0.0857713i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −8.74397 | + | 3.99324i | −0.926859 | + | 0.423282i | −0.820890 | − | 0.571087i | \(-0.806522\pi\) |
−0.105970 | + | 0.994369i | \(0.533795\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.163592 | − | 1.13781i | −0.0171491 | − | 0.119274i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.64937 | + | 0.564846i | −0.585812 | + | 0.0585718i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.51089 | − | 2.89897i | 0.462808 | − | 0.297428i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 3.47150i | − | 0.352477i | −0.984347 | − | 0.176239i | \(-0.943607\pi\) | ||
0.984347 | − | 0.176239i | \(-0.0563930\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.81834 | − | 7.91431i | −0.283254 | − | 0.795418i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.21410 | + | 2.55520i | −0.220311 | + | 0.254252i | −0.855136 | − | 0.518403i | \(-0.826527\pi\) |
0.634825 | + | 0.772656i | \(0.281072\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.21404 | − | 5.27884i | 0.809354 | − | 0.520140i | −0.0693021 | − | 0.997596i | \(-0.522077\pi\) |
0.878656 | + | 0.477456i | \(0.158441\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.154216 | + | 3.57200i | −0.0150500 | + | 0.348591i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.90540 | − | 6.48919i | −0.184202 | − | 0.627334i | −0.998875 | − | 0.0474140i | \(-0.984902\pi\) |
0.814673 | − | 0.579920i | \(-0.196916\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.92724 | − | 12.3350i | 0.759292 | − | 1.18148i | −0.219297 | − | 0.975658i | \(-0.570376\pi\) |
0.978589 | − | 0.205824i | \(-0.0659873\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.325856 | + | 0.639044i | −0.0309289 | + | 0.0606554i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.4656 | + | 3.66022i | −1.17266 | + | 0.344324i | −0.809340 | − | 0.587340i | \(-0.800175\pi\) |
−0.363321 | + | 0.931664i | \(0.618357\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.15666 | + | 1.00225i | 0.107859 | + | 0.0934606i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.67951 | + | 0.0950032i | −0.155271 | + | 0.00878305i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.05954 | − | 4.68496i | 0.372138 | − | 0.429470i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.65656 | − | 1.70727i | −0.241505 | − | 0.155206i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.48549 | − | 2.55348i | −0.674944 | − | 0.230240i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.92541 | − | 6.83828i | −0.529985 | − | 0.611635i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.39668 | − | 1.61186i | −0.123936 | − | 0.143029i | 0.690391 | − | 0.723437i | \(-0.257439\pi\) |
−0.814326 | + | 0.580408i | \(0.802893\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.487714 | + | 1.42973i | −0.0429409 | + | 0.125880i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.30624 | − | 3.33665i | −0.638349 | − | 0.291524i | 0.0698282 | − | 0.997559i | \(-0.477755\pi\) |
−0.708177 | + | 0.706035i | \(0.750482\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 10.9168i | − | 0.946604i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.18838 | + | 0.675363i | 0.446544 | + | 0.0581260i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.97149 | + | 15.2654i | −0.595615 | + | 1.30421i | 0.336375 | + | 0.941728i | \(0.390799\pi\) |
−0.931989 | + | 0.362486i | \(0.881928\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.28442 | + | 7.78001i | −0.193762 | + | 0.659892i | 0.804098 | + | 0.594497i | \(0.202649\pi\) |
−0.997859 | + | 0.0653948i | \(0.979169\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.50197 | + | 1.98566i | −0.210704 | + | 0.167223i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.18672 | − | 1.02830i | 0.0992389 | − | 0.0859910i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.288448 | + | 0.982365i | −0.0239543 | + | 0.0815809i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.95936 | − | 2.79296i | −0.326562 | − | 0.230359i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −16.1494 | − | 13.9935i | −1.32301 | − | 1.14640i | −0.978187 | − | 0.207729i | \(-0.933393\pi\) |
−0.344825 | − | 0.938667i | \(-0.612062\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.189990 | + | 1.32141i | 0.0154611 | + | 0.107535i | 0.996091 | − | 0.0883374i | \(-0.0281554\pi\) |
−0.980629 | + | 0.195872i | \(0.937246\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.31848 | − | 6.50955i | −0.510819 | − | 0.526266i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.929896 | + | 3.16694i | 0.0746911 | + | 0.254374i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.86174 | − | 19.4045i | 0.707244 | − | 1.54865i | −0.123718 | − | 0.992317i | \(-0.539482\pi\) |
0.830961 | − | 0.556330i | \(-0.187791\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −12.1041 | − | 8.53830i | −0.959916 | − | 0.677131i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.98971 | − | 0.877857i | 0.235622 | − | 0.0691848i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.47744 | −0.115722 | −0.0578608 | − | 0.998325i | \(-0.518428\pi\) | ||||
−0.0578608 | + | 0.998325i | \(0.518428\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.21876 | + | 2.46081i | −0.328430 | + | 0.191574i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.89688 | + | 1.64366i | 0.146785 | + | 0.127190i | 0.725158 | − | 0.688582i | \(-0.241767\pi\) |
−0.578373 | + | 0.815773i | \(0.696312\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.26978 | + | 11.5392i | 0.405368 | + | 0.887632i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −15.9162 | − | 1.37689i | −1.21714 | − | 0.105293i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.75608 | − | 10.5127i | −0.513655 | − | 0.799263i | 0.483444 | − | 0.875375i | \(-0.339386\pi\) |
−0.997099 | + | 0.0761122i | \(0.975749\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.08838 | + | 1.16293i | −0.611424 | + | 0.0879095i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.57943 | + | 0.557853i | −0.419376 | + | 0.0419308i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.58992 | − | 10.0505i | −0.343067 | − | 0.751212i | 0.656929 | − | 0.753952i | \(-0.271855\pi\) |
−0.999996 | + | 0.00274020i | \(0.999128\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.387326 | − | 0.848125i | 0.0287897 | − | 0.0630406i | −0.894691 | − | 0.446686i | \(-0.852604\pi\) |
0.923481 | + | 0.383645i | \(0.125331\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.39287 | + | 0.262026i | 0.102964 | + | 0.0193695i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.400126 | + | 0.117488i | 0.0294179 | + | 0.00863787i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.38197 | + | 1.20515i | 0.612950 | + | 0.0881289i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 6.86753 | − | 8.14285i | 0.499539 | − | 0.592305i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.97243 | + | 8.69841i | 0.287435 | + | 0.629395i | 0.997179 | − | 0.0750653i | \(-0.0239165\pi\) |
−0.709744 | + | 0.704460i | \(0.751189\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 20.1470 | − | 12.9477i | 1.45021 | − | 0.931994i | 0.450990 | − | 0.892529i | \(-0.351071\pi\) |
0.999221 | − | 0.0394647i | \(-0.0125653\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.234788 | + | 0.949340i | 0.0168135 | + | 0.0679836i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.49850 | + | 10.4223i | −0.106764 | + | 0.742560i | 0.864168 | + | 0.503204i | \(0.167845\pi\) |
−0.970932 | + | 0.239356i | \(0.923064\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.29446 | − | 8.41826i | −0.517091 | − | 0.596755i | 0.435809 | − | 0.900039i | \(-0.356462\pi\) |
−0.952900 | + | 0.303284i | \(0.901917\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.30756 | + | 12.1491i | −0.515436 | + | 0.856928i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.36502 | + | 1.57531i | 0.0958055 | + | 0.110565i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.654351 | + | 4.55111i | −0.0457019 | + | 0.317864i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.902801 | − | 4.46959i | −0.0627490 | − | 0.310658i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.5453 | − | 8.06239i | 0.867778 | − | 0.557687i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.67188 | + | 12.4197i | 0.390468 | + | 0.855006i | 0.998148 | + | 0.0608245i | \(0.0193730\pi\) |
−0.607680 | + | 0.794182i | \(0.707900\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.00904 | + | 4.26568i | −0.206176 | + | 0.292279i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.869261 | + | 0.124981i | 0.0592831 | + | 0.00852362i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.44760 | + | 1.89319i | 0.437691 | + | 0.128518i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.02167 | − | 5.43096i | 0.0690381 | − | 0.366990i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.704383 | − | 1.54238i | 0.0473819 | − | 0.103752i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.86676 | + | 6.27733i | 0.191973 | + | 0.420361i | 0.981003 | − | 0.193993i | \(-0.0621439\pi\) |
−0.789030 | + | 0.614354i | \(0.789417\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.675354 | + | 11.9392i | 0.0450236 | + | 0.795947i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −21.5035 | + | 3.09174i | −1.42724 | + | 0.205206i | −0.812240 | − | 0.583324i | \(-0.801752\pi\) |
−0.614997 | + | 0.788529i | \(0.710843\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.34315 | + | 14.5382i | 0.617413 | + | 0.960713i | 0.999333 | + | 0.0365175i | \(0.0116265\pi\) |
−0.381920 | + | 0.924195i | \(0.624737\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.428893 | + | 9.93414i | −0.0282191 | + | 0.653618i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.77365 | − | 12.6425i | −0.378245 | − | 0.828240i | −0.999020 | − | 0.0442520i | \(-0.985910\pi\) |
0.620776 | − | 0.783988i | \(-0.286818\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.40337 | + | 1.21603i | 0.0915460 | + | 0.0793250i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.0744967 | + | 0.127715i | 0.00483908 | + | 0.00829600i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.28691 | −0.212613 | −0.106306 | − | 0.994333i | \(-0.533902\pi\) | ||||
−0.106306 | + | 0.994333i | \(0.533902\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −24.1310 | + | 7.08551i | −1.55442 | + | 0.456418i | −0.942417 | − | 0.334441i | \(-0.891453\pi\) |
−0.611999 | + | 0.790859i | \(0.709634\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.0058 | − | 11.0396i | −0.706021 | − | 0.708191i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.17015 | + | 2.56227i | −0.0747583 | + | 0.163698i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.841258 | − | 2.86506i | −0.0535279 | − | 0.182299i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 13.4629 | + | 12.7229i | 0.853176 | + | 0.806279i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.44108 | − | 10.0229i | −0.0909599 | − | 0.632640i | −0.983397 | − | 0.181468i | \(-0.941915\pi\) |
0.892437 | − | 0.451172i | \(-0.148994\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.21681 | + | 2.78738i | 0.202239 | + | 0.175241i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.03999 | + | 4.30956i | −0.190372 | + | 0.269875i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.00280 | − | 10.2266i | 0.187310 | − | 0.637919i | −0.811271 | − | 0.584670i | \(-0.801224\pi\) |
0.998581 | − | 0.0532489i | \(-0.0169577\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.641641 | − | 0.555985i | 0.0398696 | − | 0.0345472i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.46891 | − | 1.79145i | 0.152822 | − | 0.110888i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.74612 | − | 19.5695i | 0.354321 | − | 1.20671i | −0.568891 | − | 0.822413i | \(-0.692627\pi\) |
0.923211 | − | 0.384292i | \(-0.125555\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.57725 | + | 7.83308i | −0.219749 | + | 0.481182i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.718155 | − | 16.6341i | 0.0439504 | − | 1.01799i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 18.7758i | 1.14478i | 0.819980 | + | 0.572392i | \(0.193984\pi\) | ||||
−0.819980 | + | 0.572392i | \(0.806016\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.3459 | − | 4.72482i | −0.628470 | − | 0.287013i | 0.0756055 | − | 0.997138i | \(-0.475911\pi\) |
−0.704075 | + | 0.710125i | \(0.748638\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.88438 | + | 0.642808i | 0.114048 | + | 0.0389045i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.30995 | − | 8.43613i | −0.440806 | − | 0.508718i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.83597 | − | 9.04319i | −0.470818 | − | 0.543353i | 0.469821 | − | 0.882762i | \(-0.344318\pi\) |
−0.940639 | + | 0.339409i | \(0.889773\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.57340 | − | 9.16156i | 0.213934 | − | 0.548488i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.01821 | + | 1.93968i | 0.180051 | + | 0.115712i | 0.627562 | − | 0.778567i | \(-0.284053\pi\) |
−0.447511 | + | 0.894279i | \(0.647689\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.46491 | + | 8.61497i | −0.443743 | + | 0.512107i | −0.932923 | − | 0.360076i | \(-0.882751\pi\) |
0.489180 | + | 0.872183i | \(0.337296\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.923988 | + | 9.24136i | 0.0547323 | + | 0.547411i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.07452 | + | 6.13011i | 0.417596 | + | 0.361849i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.53763 | + | 2.21325i | −0.443390 | + | 0.130191i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.35661 | + | 2.73140i | 0.314010 | + | 0.160118i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.35113 | + | 8.32652i | −0.312616 | + | 0.486441i | −0.961635 | − | 0.274332i | \(-0.911543\pi\) |
0.649019 | + | 0.760772i | \(0.275180\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.918384 | + | 3.12773i | 0.0534704 | + | 0.182103i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 14.4295 | + | 1.87826i | 0.837284 | + | 0.108988i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.716988 | − | 0.460780i | 0.0414645 | − | 0.0266476i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.17085 | − | 1.35123i | 0.0674866 | − | 0.0778837i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.20068 | − | 5.42687i | −0.126426 | − | 0.311765i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 0.823948i | − | 0.0471791i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.18062 | − | 3.32938i | 0.295674 | − | 0.190018i | −0.384390 | − | 0.923171i | \(-0.625588\pi\) |
0.680064 | + | 0.733153i | \(0.261952\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.68252 | + | 16.8279i | 0.0957154 | + | 0.957308i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.81843 | + | 33.5129i | 0.273228 | + | 1.90034i | 0.413957 | + | 0.910297i | \(0.364147\pi\) |
−0.140728 | + | 0.990048i | \(0.544944\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −21.8275 | + | 9.96830i | −1.23377 | + | 0.563442i | −0.922174 | − | 0.386775i | \(-0.873589\pi\) |
−0.311591 | + | 0.950216i | \(0.600862\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.39035 | − | 3.04844i | −0.303712 | − | 0.171760i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 19.5268 | + | 2.80753i | 1.09673 | + | 0.157687i | 0.666846 | − | 0.745195i | \(-0.267644\pi\) |
0.429888 | + | 0.902882i | \(0.358553\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.802209 | + | 2.73207i | −0.0449151 | + | 0.152967i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.5122 | + | 2.16567i | 0.642547 | + | 0.120876i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.70599 | − | 13.5468i | 0.484414 | − | 0.753763i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.03314 | + | 0.928506i | −0.112779 | + | 0.0515042i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 12.7961 | + | 21.9373i | 0.707624 | + | 1.21313i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.62740 | − | 1.06510i | 0.199985 | − | 0.0587209i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.36891 | − | 1.20327i | −0.459997 | − | 0.0661375i | −0.0915788 | − | 0.995798i | \(-0.529191\pi\) |
−0.368418 | + | 0.929660i | \(0.620100\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.729676 | − | 1.00561i | −0.0399860 | − | 0.0551071i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 7.72650 | + | 2.86926i | 0.422144 | + | 0.156764i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.94419 | + | 2.55116i | −0.160380 | + | 0.138970i | −0.731354 | − | 0.681998i | \(-0.761111\pi\) |
0.570974 | + | 0.820968i | \(0.306566\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.16019 | − | 22.1146i | 0.225950 | − | 1.20110i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.58615 | + | 8.80762i | 0.140048 | + | 0.476959i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.8587 | + | 16.8965i | 0.586315 | + | 0.912325i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.45657 | + | 0.996179i | −0.132258 | + | 0.0536325i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −9.66034 | − | 6.20832i | −0.518594 | − | 0.333280i | 0.255022 | − | 0.966935i | \(-0.417917\pi\) |
−0.773616 | + | 0.633655i | \(0.781554\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.77161 | − | 33.1873i | 0.255418 | − | 1.77647i | −0.309076 | − | 0.951037i | \(-0.600020\pi\) |
0.564494 | − | 0.825437i | \(-0.309071\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.17486 | − | 2.66628i | 0.0627093 | − | 0.142315i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.418454 | + | 2.91041i | −0.0222721 | + | 0.154906i | −0.997923 | − | 0.0644256i | \(-0.979478\pi\) |
0.975650 | + | 0.219331i | \(0.0703876\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.76051 | + | 1.26068i | 0.146512 | + | 0.0669100i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.03494 | + | 9.95016i | 0.213552 | + | 0.526618i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 36.2740 | − | 5.21541i | 1.91447 | − | 0.275259i | 0.921016 | − | 0.389524i | \(-0.127360\pi\) |
0.993450 | + | 0.114265i | \(0.0364513\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.33177 | − | 9.26270i | −0.0700934 | − | 0.487510i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.72456 | − | 2.75585i | 0.247975 | − | 0.144645i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.21267 | −0.168159 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.0174 | + | 6.85821i | −0.783901 | + | 0.357995i | −0.766823 | − | 0.641859i | \(-0.778164\pi\) |
−0.0170778 | + | 0.999854i | \(0.505436\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 9.82974 | − | 9.54121i | 0.511716 | − | 0.496695i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 9.47838 | + | 14.7487i | 0.492093 | + | 0.765712i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 24.2146i | − | 1.25378i | −0.779106 | − | 0.626892i | \(-0.784327\pi\) | ||
0.779106 | − | 0.626892i | \(-0.215673\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.2138 | − | 3.76264i | 0.785638 | − | 0.194302i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.479639 | + | 0.308245i | 0.0247027 | + | 0.0158754i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.71132 | + | 1.69490i | 0.190638 | + | 0.0870612i | 0.508447 | − | 0.861093i | \(-0.330220\pi\) |
−0.317809 | + | 0.948155i | \(0.602947\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.58606 | − | 0.886896i | 0.183720 | − | 0.0454371i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.71606 | − | 5.44262i | 0.240979 | − | 0.278105i | −0.622357 | − | 0.782733i | \(-0.713825\pi\) |
0.863337 | + | 0.504628i | \(0.168370\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.72175 | − | 0.822664i | 0.291607 | − | 0.0419268i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.82237 | − | 1.87748i | −0.0926361 | − | 0.0954375i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.77788 | + | 13.6586i | −0.445056 | + | 0.692521i | −0.989217 | − | 0.146460i | \(-0.953212\pi\) |
0.544160 | + | 0.838981i | \(0.316848\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.41005 | + | 1.29491i | 0.223026 | + | 0.0654863i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 10.8971 | − | 8.64842i | 0.549688 | − | 0.436255i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.0649606 | − | 0.0562887i | 0.00326852 | − | 0.00283219i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.99947 | − | 1.76160i | −0.301105 | − | 0.0884123i | 0.127690 | − | 0.991814i | \(-0.459244\pi\) |
−0.428795 | + | 0.903402i | \(0.641062\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 16.8449 | + | 8.58940i | 0.843298 | + | 0.430008i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 20.2313 | 1.01030 | 0.505152 | − | 0.863030i | \(-0.331436\pi\) | ||||
0.505152 | + | 0.863030i | \(0.331436\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.83804 | 0.0915591 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.12436 | + | 7.47442i | −0.254632 | + | 0.371407i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.11280 | + | 0.326747i | 0.0551594 | + | 0.0161963i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.00324140 | − | 0.00280869i | 0.000160277 | − | 0.000138881i | −0.654781 | − | 0.755819i | \(-0.727239\pi\) |
0.654941 | + | 0.755680i | \(0.272694\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −18.0698 | − | 22.7682i | −0.891315 | − | 1.12307i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.36777 | + | 1.86975i | 0.313338 | + | 0.0920042i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.82197 | − | 9.05916i | 0.285789 | − | 0.444697i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.2074 | − | 9.64630i | −0.499857 | − | 0.472381i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.8438 | + | 3.28445i | −1.11600 | + | 0.160456i | −0.675543 | − | 0.737320i | \(-0.736091\pi\) |
−0.440452 | + | 0.897776i | \(0.645182\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.60373 | + | 4.15892i | −0.175635 | + | 0.202693i | −0.836741 | − | 0.547599i | \(-0.815542\pi\) |
0.661106 | + | 0.750293i | \(0.270087\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.09536 | − | 5.42294i | −0.0532584 | − | 0.263672i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.9644 | − | 5.00728i | −0.531852 | − | 0.242889i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.41119 | − | 0.906916i | −0.0682922 | − | 0.0438887i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.652974 | + | 2.64023i | 0.0315259 | + | 0.127471i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 33.0153i | 1.59029i | 0.606418 | + | 0.795146i | \(0.292606\pi\) | ||||
−0.606418 | + | 0.795146i | \(0.707394\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.71980 | + | 8.90018i | 0.274876 | + | 0.427716i | 0.951055 | − | 0.309022i | \(-0.100002\pi\) |
−0.676179 | + | 0.736738i | \(0.736365\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.28886 | − | 1.21802i | −0.0617962 | − | 0.0583994i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.36264 | − | 3.36240i | 0.352203 | − | 0.160846i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.9237 | −1.38045 | −0.690226 | − | 0.723593i | \(-0.742489\pi\) | ||||
−0.690226 | + | 0.723593i | \(0.742489\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.42487 | − | 3.91187i | 0.353565 | − | 0.186280i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.62916 | − | 18.2862i | −0.124915 | − | 0.868803i | −0.951863 | − | 0.306524i | \(-0.900834\pi\) |
0.826948 | − | 0.562279i | \(-0.190075\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.58071 | + | 1.37750i | −0.454169 | + | 0.0652997i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 34.2989 | − | 13.9087i | 1.62228 | − | 0.657861i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.1989 | + | 7.39779i | 0.764473 | + | 0.349123i | 0.759195 | − | 0.650863i | \(-0.225593\pi\) |
0.00527804 | + | 0.999986i | \(0.498320\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.81983 | + | 12.6572i | −0.0856924 | + | 0.596003i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.18845 | − | 0.746535i | −0.102822 | − | 0.0350753i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.164725 | − | 1.14569i | 0.00772243 | − | 0.0537107i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −28.4659 | − | 18.2939i | −1.33158 | − | 0.855754i | −0.335315 | − | 0.942106i | \(-0.608843\pi\) |
−0.996265 | + | 0.0863520i | \(0.972479\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 15.0158 | − | 4.62781i | 0.700879 | − | 0.216008i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.94920 | + | 4.58905i | 0.137358 | + | 0.213733i | 0.903117 | − | 0.429394i | \(-0.141273\pi\) |
−0.765759 | + | 0.643128i | \(0.777636\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.34889 | + | 18.2166i | 0.248584 | + | 0.846599i | 0.985364 | + | 0.170466i | \(0.0545274\pi\) |
−0.736780 | + | 0.676133i | \(0.763654\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −5.61832 | − | 1.05692i | −0.260543 | − | 0.0490133i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −14.0193 | + | 12.1478i | −0.648736 | + | 0.562133i | −0.915844 | − | 0.401534i | \(-0.868477\pi\) |
0.267108 | + | 0.963667i | \(0.413932\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.4188 | − | 10.0751i | 0.619621 | − | 0.465226i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 22.9692 | + | 28.9415i | 1.05836 | + | 1.33355i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.41752 | + | 0.347586i | 0.111158 | + | 0.0159820i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −20.3670 | + | 5.98029i | −0.934502 | + | 0.274395i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 22.6984 | − | 11.9589i | 1.03929 | − | 0.547561i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −24.8352 | + | 11.3419i | −1.13475 | + | 0.518222i | −0.892076 | − | 0.451886i | \(-0.850751\pi\) |
−0.242673 | + | 0.970108i | \(0.578024\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.125551 | − | 0.195361i | 0.00572464 | − | 0.00890771i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.997769 | + | 5.30390i | −0.0454001 | + | 0.241336i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.984809 | − | 3.35395i | 0.0447179 | − | 0.152295i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 27.5010 | + | 3.95405i | 1.24619 | + | 0.179175i | 0.733673 | − | 0.679503i | \(-0.237804\pi\) |
0.512516 | + | 0.858678i | \(0.328714\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.16246 | − | 2.27972i | 0.0525682 | − | 0.103093i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.78595 | − | 1.27230i | 0.125728 | − | 0.0574182i | −0.351558 | − | 0.936166i | \(-0.614348\pi\) |
0.477286 | + | 0.878748i | \(0.341621\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.437577 | + | 3.04342i | 0.0197075 | + | 0.137069i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.477748 | − | 8.44584i | −0.0214732 | − | 0.379612i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.19767 | − | 3.34034i | 0.233147 | − | 0.149835i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 33.7775i | 1.51209i | 0.654521 | + | 0.756044i | \(0.272870\pi\) | ||||
−0.654521 | + | 0.756044i | \(0.727130\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.02869 | + | 1.63370i | −0.179989 | + | 0.0729882i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.18125 | − | 9.44167i | 0.364784 | − | 0.420983i | −0.543453 | − | 0.839440i | \(-0.682883\pi\) |
0.908237 | + | 0.418456i | \(0.137429\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.86400 | + | 1.84058i | −0.127446 | + | 0.0819047i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −21.9516 | − | 0.947733i | −0.974906 | − | 0.0420903i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.15954 | + | 24.3831i | 0.317341 | + | 1.08076i | 0.951522 | + | 0.307580i | \(0.0995191\pi\) |
−0.634181 | + | 0.773184i | \(0.718663\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.53617 | + | 5.50239i | −0.156431 | + | 0.243411i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 14.6476 | − | 23.4758i | 0.646707 | − | 1.03648i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 9.43344 | − | 2.76991i | 0.415687 | − | 0.122057i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.90295 | + | 3.38192i | 0.171651 | + | 0.148737i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 21.5371 | − | 2.15336i | 0.945372 | − | 0.0945221i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.55265 | − | 9.87029i | 0.374699 | − | 0.432425i | −0.536812 | − | 0.843702i | \(-0.680372\pi\) |
0.911511 | + | 0.411277i | \(0.134917\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.5661 | + | 12.5744i | 0.855567 | + | 0.549840i | 0.893306 | − | 0.449448i | \(-0.148379\pi\) |
−0.0377395 | + | 0.999288i | \(0.512016\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.56957 | − | 13.3956i | 0.199432 | − | 0.584631i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.49113 | + | 7.49116i | 0.282758 | + | 0.326320i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.5489 | − | 15.6363i | −0.589083 | − | 0.679838i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.52916 | − | 9.04813i | 0.153152 | − | 0.392656i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.32907 | + | 1.06365i | 0.100883 | + | 0.0460719i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 6.81000i | − | 0.294422i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 19.1196 | + | 0.825465i | 0.825073 | + | 0.0356215i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.25433 | + | 7.12599i | −0.140174 | + | 0.306938i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.6811 | + | 36.3766i | −0.459218 | + | 1.56395i | 0.326393 | + | 0.945234i | \(0.394167\pi\) |
−0.785612 | + | 0.618720i | \(0.787652\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.00393 | + | 1.26497i | 0.0430827 | + | 0.0542849i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 11.1581 | − | 9.66853i | 0.477960 | − | 0.414154i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.93535 | − | 23.6196i | 0.296534 | − | 1.00990i | −0.667607 | − | 0.744514i | \(-0.732681\pi\) |
0.964141 | − | 0.265389i | \(-0.0855005\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.50023 | + | 1.94307i | −0.0640284 | + | 0.0829282i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.09212 | + | 3.54584i | 0.174330 | + | 0.151058i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.0249047 | − | 0.173216i | −0.00105905 | − | 0.00736588i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.496110 | + | 0.524966i | −0.0210587 | + | 0.0222835i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 0.197657 | + | 0.673158i | 0.00837500 | + | 0.0285226i | 0.963574 | − | 0.267440i | \(-0.0861778\pi\) |
−0.955199 | + | 0.295963i | \(0.904360\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.203157 | − | 0.444852i | 0.00859263 | − | 0.0188152i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −8.45457 | + | 11.9854i | −0.356952 | + | 0.506023i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.72548 | + | 1.09390i | −0.157010 | + | 0.0461024i | −0.359293 | − | 0.933225i | \(-0.616982\pi\) |
0.202283 | + | 0.979327i | \(0.435164\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.0818 | −0.550356 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 7.16120 | + | 17.0036i | 0.300742 | + | 0.714086i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.8384 | + | 9.39154i | 0.454370 | + | 0.393714i | 0.851757 | − | 0.523937i | \(-0.175537\pi\) |
−0.397387 | + | 0.917651i | \(0.630083\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.9314 | + | 23.9364i | 0.457464 | + | 1.00171i | 0.988058 | + | 0.154081i | \(0.0492416\pi\) |
−0.530594 | + | 0.847626i | \(0.678031\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.5474 | − | 0.714413i | −0.691278 | − | 0.0298450i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.27557 | − | 5.09689i | −0.136601 | − | 0.212555i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −38.1561 | + | 5.48602i | −1.58846 | + | 0.228386i | −0.879162 | − | 0.476523i | \(-0.841897\pi\) |
−0.709297 | + | 0.704909i | \(0.750988\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.12680 | + | 41.2747i | 0.171504 | + | 1.71532i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.10755 | − | 19.9428i | −0.377845 | − | 0.827365i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.94875 | + | 21.7847i | −0.412035 | + | 0.902231i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.64959 | − | 0.384664i | −0.0682022 | − | 0.0159039i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −23.3634 | − | 6.86013i | −0.964313 | − | 0.283148i | −0.238579 | − | 0.971123i | \(-0.576682\pi\) |
−0.725734 | + | 0.687975i | \(0.758500\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.2780 | + | 2.48420i | 0.711928 | + | 0.102360i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −14.9029 | − | 10.5126i | −0.613023 | − | 0.432431i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.35922 | − | 11.7351i | −0.220077 | − | 0.481901i | 0.767101 | − | 0.641526i | \(-0.221699\pi\) |
−0.987178 | + | 0.159626i | \(0.948971\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.25114 | − | 3.37470i | 0.215276 | − | 0.138349i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 18.7290 | − | 4.63200i | 0.766525 | − | 0.189575i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.00325 | + | 27.8432i | −0.163568 | + | 1.13764i | 0.728271 | + | 0.685290i | \(0.240324\pi\) |
−0.891839 | + | 0.452353i | \(0.850585\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.3336 | − | 18.8499i | −0.666260 | − | 0.768905i | 0.317526 | − | 0.948249i | \(-0.397148\pi\) |
−0.983786 | + | 0.179345i | \(0.942602\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −12.9967 | − | 20.8347i | −0.529265 | − | 0.848456i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.08228 | − | 2.40308i | −0.0846567 | − | 0.0976991i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.952491 | − | 6.62472i | 0.0386604 | − | 0.268889i | −0.961318 | − | 0.275440i | \(-0.911176\pi\) |
0.999979 | + | 0.00655145i | \(0.00208541\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.50476 | + | 0.866789i | −0.142020 | + | 0.0351241i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.869919 | − | 0.559063i | 0.0351931 | − | 0.0226173i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.13198 | + | 11.2375i | 0.207279 | + | 0.453877i | 0.984508 | − | 0.175340i | \(-0.0561026\pi\) |
−0.777229 | + | 0.629218i | \(0.783375\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.50764 | − | 4.59054i | −0.262413 | − | 0.185108i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5.84688 | + | 0.840654i | 0.235386 | + | 0.0338435i | 0.258998 | − | 0.965878i | \(-0.416608\pi\) |
−0.0236120 | + | 0.999721i | \(0.507517\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −39.7054 | − | 11.6586i | −1.59590 | − | 0.468597i | −0.641496 | − | 0.767127i | \(-0.721686\pi\) |
−0.954401 | + | 0.298529i | \(0.903504\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.60704 | + | 2.12367i | 0.305260 | + | 0.0852199i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8.18619 | + | 17.9253i | −0.327973 | + | 0.718160i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.49457 | + | 9.84173i | 0.179783 | + | 0.393669i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.56972 | + | 25.7013i | 0.102625 | + | 1.02641i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.23961 | − | 0.178229i | 0.0494266 | − | 0.00710647i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.6056 | + | 33.6190i | 0.860105 | + | 1.33835i | 0.939869 | + | 0.341536i | \(0.110947\pi\) |
−0.0797638 | + | 0.996814i | \(0.525417\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −23.6266 | − | 1.02005i | −0.939073 | − | 0.0405432i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.892132 | − | 1.95350i | −0.0354032 | − | 0.0775222i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.18548 | + | 1.02722i | 0.0469705 | + | 0.0407001i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.21452 | − | 7.99929i | −0.166724 | − | 0.316447i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −21.3864 | −0.844712 | −0.422356 | − | 0.906430i | \(-0.638797\pi\) | ||||
−0.422356 | + | 0.906430i | \(0.638797\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.2695 | − | 4.77715i | 0.641606 | − | 0.188393i | 0.0552841 | − | 0.998471i | \(-0.482394\pi\) |
0.586322 | + | 0.810078i | \(0.300575\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.876791 | + | 1.24296i | −0.0345236 | + | 0.0489414i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.74123 | + | 10.3819i | −0.186397 | + | 0.408153i | −0.979643 | − | 0.200749i | \(-0.935662\pi\) |
0.793246 | + | 0.608902i | \(0.208390\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.55413 | + | 8.69858i | 0.100259 | + | 0.341449i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.99426 | + | 8.45924i | −0.313320 | + | 0.331544i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.71761 | − | 46.7220i | −0.262880 | − | 1.82837i | −0.510925 | − | 0.859625i | \(-0.670697\pi\) |
0.248045 | − | 0.968749i | \(-0.420212\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.11229 | − | 5.29633i | −0.238827 | − | 0.206945i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 7.57626 | + | 5.84959i | 0.295578 | + | 0.228214i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11.1587 | − | 38.0030i | 0.434681 | − | 1.48039i | −0.393185 | − | 0.919459i | \(-0.628627\pi\) |
0.827865 | − | 0.560927i | \(-0.189555\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.78336 | − | 1.54529i | 0.0693648 | − | 0.0601049i | −0.619488 | − | 0.785006i | \(-0.712660\pi\) |
0.688853 | + | 0.724901i | \(0.258114\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.82572 | + | 2.30044i | 0.0709052 | + | 0.0893417i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.09691 | − | 10.5471i | 0.120093 | − | 0.409000i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.642015 | + | 1.40582i | −0.0248589 | + | 0.0544335i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −11.9417 | − | 0.515567i | −0.461692 | − | 0.0199330i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 2.29149i | − | 0.0884622i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −36.5482 | − | 16.6910i | −1.40883 | − | 0.643391i | −0.441581 | − | 0.897221i | \(-0.645582\pi\) |
−0.967249 | + | 0.253830i | \(0.918309\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −18.9539 | − | 8.35178i | −0.729536 | − | 0.321460i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −9.77120 | − | 11.2766i | −0.375538 | − | 0.433393i | 0.536248 | − | 0.844061i | \(-0.319841\pi\) |
−0.911785 | + | 0.410667i | \(0.865296\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.66039 | − | 5.37838i | −0.178849 | − | 0.206403i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.1485 | − | 35.6131i | 0.465531 | − | 1.36470i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −29.6644 | − | 19.0642i | −1.13508 | − | 0.729471i | −0.168465 | − | 0.985708i | \(-0.553881\pi\) |
−0.966614 | + | 0.256237i | \(0.917517\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −11.0660 | + | 12.7708i | −0.422810 | + | 0.487949i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −29.7841 | + | 2.97794i | −1.13634 | + | 0.113615i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.62411 | + | 3.14031i | 0.138068 | + | 0.119636i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.16029 | + | 0.340691i | −0.0441395 | + | 0.0129605i | −0.303728 | − | 0.952759i | \(-0.598231\pi\) |
0.259588 | + | 0.965719i | \(0.416413\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −14.9912 | − | 8.47806i | −0.569468 | − | 0.322055i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.41413 | + | 6.86852i | −0.167438 | + | 0.260538i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.89020 | + | 13.2488i | 0.147352 | + | 0.501834i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 24.0505 | + | 1.03835i | 0.909675 | + | 0.0392740i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.7655 | − | 14.6305i | 0.859840 | − | 0.552585i | −0.0347895 | − | 0.999395i | \(-0.511076\pi\) |
0.894629 | + | 0.446809i | \(0.147440\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.44425 | − | 1.66676i | 0.0544711 | − | 0.0628630i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.98055 | + | 1.20866i | −0.112254 | + | 0.0455208i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.93114i | 0.260672i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.0873 | + | 13.5520i | −0.791950 | + | 0.508956i | −0.872980 | − | 0.487756i | \(-0.837816\pi\) |
0.0810296 | + | 0.996712i | \(0.474179\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.255683 | + | 0.0144630i | −0.00958885 | + | 0.000542404i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.709055 | + | 4.93159i | 0.0265543 | + | 0.184689i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.43826 | − | 0.656829i | 0.0537877 | − | 0.0245640i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 2.58617 | − | 5.07180i | 0.0965824 | − | 0.189410i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −36.2245 | − | 5.20830i | −1.35095 | − | 0.194237i | −0.571447 | − | 0.820639i | \(-0.693618\pi\) |
−0.779500 | + | 0.626402i | \(0.784527\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.63928 | − | 19.2056i | 0.210018 | − | 0.715255i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.05336 | − | 42.8098i | 0.299508 | − | 1.59211i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.19124 | − | 3.40963i | 0.0813805 | − | 0.126631i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.87291 | − | 1.31201i | 0.106550 | − | 0.0486599i | −0.361427 | − | 0.932401i | \(-0.617710\pi\) |
0.467977 | + | 0.883741i | \(0.344983\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.6939 | − | 8.29615i | 0.951624 | − | 0.307265i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.53051 | − | 0.743026i | 0.0935945 | − | 0.0274818i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.93442 | + | 0.278128i | 0.0714494 | + | 0.0102729i | 0.177947 | − | 0.984040i | \(-0.443054\pi\) |
−0.106497 | + | 0.994313i | \(0.533964\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.03297 | − | 3.82160i | −0.111873 | − | 0.140962i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.4883 | + | 7.97975i | 0.791532 | + | 0.293938i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.9300 | + | 13.8034i | −0.585995 | + | 0.507768i | −0.896641 | − | 0.442758i | \(-0.854000\pi\) |
0.310646 | + | 0.950526i | \(0.399455\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.08277 | + | 0.956170i | 0.186720 | + | 0.0351258i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.85255 | − | 23.3376i | −0.251396 | − | 0.856175i | −0.984399 | − | 0.175950i | \(-0.943700\pi\) |
0.733003 | − | 0.680225i | \(-0.238118\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.6328 | − | 18.1010i | −0.426194 | − | 0.663171i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −30.2245 | + | 10.7631i | −1.10585 | + | 0.393803i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −11.6636 | − | 7.49574i | −0.426178 | − | 0.273888i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.12290 | − | 14.7651i | 0.0774656 | − | 0.538785i | −0.913724 | − | 0.406335i | \(-0.866807\pi\) |
0.991190 | − | 0.132450i | \(-0.0422844\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.5995 | + | 5.66248i | 0.604918 | + | 0.206352i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.191306 | + | 1.33056i | −0.00696233 | + | 0.0484241i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.05419 | + | 0.481431i | 0.0383150 | + | 0.0174979i | 0.434480 | − | 0.900681i | \(-0.356932\pi\) |
−0.396165 | + | 0.918179i | \(0.629659\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −6.83202 | + | 2.77049i | −0.247987 | + | 0.100562i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.9508 | + | 3.44360i | −0.868215 | + | 0.124830i | −0.562005 | − | 0.827134i | \(-0.689970\pi\) |
−0.306209 | + | 0.951964i | \(0.599061\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.27780 | − | 29.7527i | −0.154867 | − | 1.07712i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.25787 | − | 8.08159i | −0.153944 | − | 0.292190i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.81528 | 0.0655460 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.4927 | − | 7.07527i | 0.558680 | − | 0.255141i | −0.116002 | − | 0.993249i | \(-0.537008\pi\) |
0.674682 | + | 0.738108i | \(0.264281\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.4173 | + | 12.6798i | 0.483213 | + | 0.456652i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −14.4824 | − | 22.5351i | −0.520897 | − | 0.810531i | 0.476754 | − | 0.879037i | \(-0.341813\pi\) |
−0.997651 | + | 0.0685055i | \(0.978177\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 13.0661i | − | 0.469350i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.353051 | + | 1.42752i | 0.0126656 | + | 0.0512121i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 20.4563 | + | 13.1465i | 0.732923 | + | 0.471021i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.67729 | + | 3.50610i | 0.274715 | + | 0.125458i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.821702 | + | 5.21913i | 0.0293652 | + | 0.186516i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 14.0664 | − | 16.2335i | 0.502052 | − | 0.579399i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.61100 | + | 0.375406i | −0.0930723 | + | 0.0133818i | −0.188694 | − | 0.982036i | \(-0.560425\pi\) |
0.0956213 | + | 0.995418i | \(0.469516\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 25.6751 | + | 24.2638i | 0.914059 | + | 0.863816i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.3991 | + | 22.4054i | −0.511973 | + | 0.796646i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.440249 | − | 0.129269i | −0.0156337 | − | 0.00459046i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −9.27205 | − | 11.6829i | −0.328846 | − | 0.414351i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 27.9982 | − | 24.2605i | 0.991746 | − | 0.859352i | 0.00168569 | − | 0.999999i | \(-0.499463\pi\) |
0.990060 | + | 0.140646i | \(0.0449180\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.35070 | + | 1.57111i | 0.189294 | + | 0.0555818i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 25.1018 | + | 14.1960i | 0.886929 | + | 0.501590i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −8.93481 | −0.315303 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.13751 | 0.110583 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −28.9716 | − | 14.7730i | −1.01985 | − | 0.520034i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −16.0045 | − | 4.69934i | −0.562688 | − | 0.165220i | −0.0119949 | − | 0.999928i | \(-0.503818\pi\) |
−0.550693 | + | 0.834708i | \(0.685636\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20.7879 | − | 18.0128i | 0.729963 | − | 0.632517i | −0.208450 | − | 0.978033i | \(-0.566842\pi\) |
0.938413 | + | 0.345516i | \(0.112296\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 15.4308 | − | 12.2465i | 0.541181 | − | 0.429504i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.42741 | − | 0.419125i | −0.0499999 | − | 0.0146813i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.51097 | − | 3.90715i | 0.0878477 | − | 0.136694i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.47452 | + | 2.40188i | −0.0864666 | + | 0.0839286i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −14.8405 | + | 2.13374i | −0.517936 | + | 0.0744679i | −0.396326 | − | 0.918110i | \(-0.629715\pi\) |
−0.121610 | + | 0.992578i | \(0.538806\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.65464 | + | 9.98799i | −0.301682 | + | 0.348159i | −0.886268 | − | 0.463172i | \(-0.846711\pi\) |
0.584587 | + | 0.811331i | \(0.301257\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 18.7687 | − | 4.64183i | 0.653442 | − | 0.161608i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −17.8256 | − | 8.14067i | −0.619856 | − | 0.283079i | 0.0806307 | − | 0.996744i | \(-0.474307\pi\) |
−0.700487 | + | 0.713665i | \(0.747034\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.02006 | − | 3.86886i | −0.209085 | − | 0.134371i | 0.431907 | − | 0.901918i | \(-0.357841\pi\) |
−0.640993 | + | 0.767547i | \(0.721477\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 20.1193 | − | 4.97585i | 0.697930 | − | 0.172610i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 8.45928i | 0.293097i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.36637 | + | 2.12612i | 0.0472853 | + | 0.0735774i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.3250 | + | 12.7222i | 0.391448 | + | 0.439745i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −7.63535 | + | 3.48695i | −0.263601 | + | 0.120383i | −0.542832 | − | 0.839841i | \(-0.682648\pi\) |
0.279230 | + | 0.960224i | \(0.409921\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.9661 | 0.964349 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.36774 | + | 3.13102i | −0.184875 | + | 0.107838i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.81785 | + | 12.6434i | 0.0625360 | + | 0.434948i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.40775 | + | 0.921296i | −0.220173 | + | 0.0316561i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.41967 | − | 18.2969i | −0.254643 | − | 0.627948i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.572603 | + | 0.261499i | 0.0196286 | + | 0.00896406i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.63189 | − | 11.3501i | 0.0558749 | − | 0.388619i | −0.942624 | − | 0.333855i | \(-0.891650\pi\) |
0.998499 | − | 0.0547635i | \(-0.0174405\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −14.9867 | − | 5.84544i | −0.512534 | − | 0.199910i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.83260 | + | 12.7460i | −0.0626003 | + | 0.435395i | 0.934285 | + | 0.356527i | \(0.116039\pi\) |
−0.996885 | + | 0.0788672i | \(0.974870\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.8921 | − | 7.64260i | −0.405754 | − | 0.260762i | 0.321807 | − | 0.946805i | \(-0.395710\pi\) |
−0.727561 | + | 0.686043i | \(0.759346\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −15.0252 | + | 6.09296i | −0.512058 | + | 0.207648i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.0327 | − | 17.1672i | −0.375557 | − | 0.584378i | 0.601102 | − | 0.799172i | \(-0.294728\pi\) |
−0.976659 | + | 0.214794i | \(0.931092\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.54504 | − | 12.0733i | −0.120535 | − | 0.410504i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.51557 | − | 13.3722i | 0.0854332 | − | 0.454143i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.180663 | − | 0.156545i | 0.00612857 | − | 0.00531044i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.74530 | − | 3.67824i | 0.0930209 | − | 0.124632i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.42925 | + | 6.11631i | −0.285287 | + | 0.207006i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −18.3604 | − | 2.63983i | −0.620696 | − | 0.0892426i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.6670 | − | 3.13210i | 0.360197 | − | 0.105763i | −0.0966264 | − | 0.995321i | \(-0.530805\pi\) |
0.456824 | + | 0.889557i | \(0.348987\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.63773 | − | 14.8083i | −0.291344 | − | 0.499472i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.6371 | + | 6.68455i | −0.493137 | + | 0.225208i | −0.646431 | − | 0.762973i | \(-0.723739\pi\) |
0.153294 | + | 0.988181i | \(0.451012\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.8188 | − | 19.9464i | 0.431385 | − | 0.671249i | −0.555711 | − | 0.831375i | \(-0.687554\pi\) |
0.987096 | + | 0.160127i | \(0.0511903\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5.54876 | − | 1.04383i | −0.186520 | − | 0.0350880i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −11.8144 | + | 40.2361i | −0.396688 | + | 1.35100i | 0.483073 | + | 0.875580i | \(0.339521\pi\) |
−0.879761 | + | 0.475416i | \(0.842297\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.32775 | − | 0.622237i | −0.145148 | − | 0.0208691i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −14.2515 | + | 20.7873i | −0.477442 | + | 0.696399i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 8.93306 | − | 4.07959i | 0.298933 | − | 0.136518i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.58333 | − | 11.0123i | −0.0529249 | − | 0.368101i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.146864 | + | 1.46888i | 0.00490365 | + | 0.0490444i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −2.80388 | + | 1.80194i | −0.0935146 | + | 0.0600982i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.8607i | 0.861546i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.16375 | + | 2.86981i | 0.0387273 | + | 0.0955014i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.614810 | − | 0.709529i | 0.0204370 | − | 0.0235855i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −32.9158 | + | 21.1537i | −1.09295 | + | 0.702396i | −0.957513 | − | 0.288390i | \(-0.906880\pi\) |
−0.135437 | + | 0.990786i | \(0.543244\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.1053 | + | 0.874197i | 0.335172 | + | 0.0289953i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.40813 | + | 32.0411i | 0.311705 | + | 1.06157i | 0.955161 | + | 0.296087i | \(0.0956818\pi\) |
−0.643456 | + | 0.765483i | \(0.722500\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.1916 | − | 25.1946i | 0.535863 | − | 0.833819i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.27137 | + | 0.648289i | 0.0420303 | + | 0.0214318i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −15.7989 | + | 4.63897i | −0.521725 | + | 0.153192i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.5490 | + | 11.7403i | 0.446940 | + | 0.387276i | 0.849047 | − | 0.528317i | \(-0.177177\pi\) |
−0.402107 | + | 0.915593i | \(0.631722\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.06117 | + | 10.6134i | 0.0349668 | + | 0.349724i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.10670 | − | 1.27720i | 0.0364274 | − | 0.0420394i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.38878 | − | 0.892512i | −0.0456627 | − | 0.0293456i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −27.2898 | − | 10.6442i | −0.896314 | − | 0.349601i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −26.2500 | − | 30.2941i | −0.861235 | − | 0.993918i | −0.999994 | − | 0.00359196i | \(-0.998857\pi\) |
0.138759 | − | 0.990326i | \(-0.455689\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.75547 | + | 11.2584i | 0.319723 | + | 0.368980i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −55.5026 | − | 18.9333i | −1.81707 | − | 0.619848i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.75627 | + | 3.54217i | 0.253657 | + | 0.115841i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.6410i | 0.543638i | 0.962348 | + | 0.271819i | \(0.0876253\pi\) | ||||
−0.962348 | + | 0.271819i | \(0.912375\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.79273 | − | 41.5236i | 0.0585035 | − | 1.35507i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −10.6549 | + | 23.3310i | −0.347340 | + | 0.760568i | 0.652656 | + | 0.757654i | \(0.273655\pi\) |
−0.999996 | + | 0.00291342i | \(0.999073\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.95537 | + | 6.65940i | −0.0636758 | + | 0.216860i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 8.94499 | − | 5.91892i | 0.290981 | − | 0.192542i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 25.8510 | − | 22.4001i | 0.840046 | − | 0.727904i | −0.124386 | − | 0.992234i | \(-0.539696\pi\) |
0.964432 | + | 0.264330i | \(0.0851507\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.504034 | + | 1.71658i | −0.0163616 | + | 0.0557226i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −19.6960 | + | 27.9214i | −0.638685 | + | 0.905414i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −32.3020 | − | 27.9898i | −1.04636 | − | 0.906680i | −0.0506091 | − | 0.998719i | \(-0.516116\pi\) |
−0.995755 | + | 0.0920385i | \(0.970662\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.37032 | + | 9.53079i | 0.0443425 | + | 0.308409i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.58448 | − | 3.38745i | −0.115870 | − | 0.109501i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 9.69253 | + | 33.0097i | 0.312988 | + | 1.06594i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.41431 | − | 18.4248i | 0.271429 | − | 0.594347i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −12.3996 | + | 16.0596i | −0.399570 | + | 0.517515i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 23.1378 | − | 6.79388i | 0.744833 | − | 0.218703i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.9422 | 0.834244 | 0.417122 | − | 0.908850i | \(-0.363039\pi\) | ||||
0.417122 | + | 0.908850i | \(0.363039\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 14.0531 | + | 24.0923i | 0.451451 | + | 0.773956i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 30.7269 | + | 26.6250i | 0.986072 | + | 0.854436i | 0.989350 | − | 0.145558i | \(-0.0464978\pi\) |
−0.00327763 | + | 0.999995i | \(0.501043\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.90521 | + | 15.1203i | 0.221371 | + | 0.484735i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.166985 | − | 3.86775i | 0.00534781 | − | 0.123867i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 11.2919 | + | 17.5706i | 0.361261 | + | 0.562133i | 0.973542 | − | 0.228507i | \(-0.0733844\pi\) |
−0.612281 | + | 0.790640i | \(0.709748\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −26.6451 | + | 3.83099i | −0.851581 | + | 0.122439i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −43.9178 | + | 2.48426i | −1.40219 | + | 0.0793163i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −19.2208 | − | 42.0876i | −0.613047 | − | 1.34239i | −0.920470 | − | 0.390813i | \(-0.872194\pi\) |
0.307423 | − | 0.951573i | \(-0.400533\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.40441 | + | 9.64431i | −0.140336 | + | 0.307293i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.21059 | + | 6.43521i | −0.0385335 | + | 0.204835i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.27194 | + | 0.373476i | 0.0404454 | + | 0.0118758i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 34.8046 | + | 5.00415i | 1.10560 | + | 0.158962i | 0.670854 | − | 0.741589i | \(-0.265928\pi\) |
0.434750 | + | 0.900551i | \(0.356837\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 8.44140 | − | 11.9667i | 0.267880 | − | 0.379752i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.65934 | − | 10.2025i | −0.147711 | − | 0.323442i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.6314 | − | 24.8269i | 1.22347 | − | 0.786275i | 0.240606 | − | 0.970623i | \(-0.422654\pi\) |
0.982861 | + | 0.184348i | \(0.0590173\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.12580 | − | 0.334687i | 0.0672573 | − | 0.0105890i |
(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 | 804.2.s.b.161.8 | yes | 200 | |
3.2 | odd | 2 | inner | 804.2.s.b.161.15 | yes | 200 | |
67.5 | odd | 22 | inner | 804.2.s.b.5.15 | yes | 200 | |
201.5 | even | 22 | inner | 804.2.s.b.5.8 | ✓ | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.s.b.5.8 | ✓ | 200 | 201.5 | even | 22 | inner | |
804.2.s.b.5.15 | yes | 200 | 67.5 | odd | 22 | inner | |
804.2.s.b.161.8 | yes | 200 | 1.1 | even | 1 | trivial | |
804.2.s.b.161.15 | yes | 200 | 3.2 | odd | 2 | inner |