Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,4,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), 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: | \(7.96525785077\) |
Analytic rank: | \(0\) |
Dimension: | \(624\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 113.16 | ||
Character | \(\chi\) | \(=\) | 135.113 |
Dual form | 135.4.q.a.92.16 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.72407 | − | 0.238325i | −0.963104 | − | 0.0842607i | −0.405255 | − | 0.914203i | \(-0.632817\pi\) |
−0.557849 | + | 0.829943i | \(0.688373\pi\) | |||||||
\(3\) | 2.37154 | + | 4.62340i | 0.456403 | + | 0.889773i | ||||
\(4\) | −0.514706 | − | 0.0907566i | −0.0643383 | − | 0.0113446i | ||||
\(5\) | 4.64190 | + | 10.1712i | 0.415184 | + | 0.909737i | ||||
\(6\) | −5.35837 | − | 13.1597i | −0.364591 | − | 0.895401i | ||||
\(7\) | 7.25571 | + | 5.08050i | 0.391771 | + | 0.274321i | 0.752821 | − | 0.658225i | \(-0.228693\pi\) |
−0.361050 | + | 0.932547i | \(0.617581\pi\) | |||||||
\(8\) | 22.5109 | + | 6.03177i | 0.994849 | + | 0.266569i | ||||
\(9\) | −15.7516 | + | 21.9291i | −0.583392 | + | 0.812191i | ||||
\(10\) | −10.2208 | − | 28.8133i | −0.323211 | − | 0.911155i | ||||
\(11\) | 9.53281 | − | 26.1912i | 0.261296 | − | 0.717904i | −0.737785 | − | 0.675036i | \(-0.764128\pi\) |
0.999081 | − | 0.0428681i | \(-0.0136495\pi\) | |||||||
\(12\) | −0.801043 | − | 2.59492i | −0.0192701 | − | 0.0624242i | ||||
\(13\) | 4.10346 | + | 46.9027i | 0.0875457 | + | 1.00065i | 0.905212 | + | 0.424960i | \(0.139712\pi\) |
−0.817667 | + | 0.575692i | \(0.804733\pi\) | |||||||
\(14\) | −18.5542 | − | 15.5689i | −0.354202 | − | 0.297211i | ||||
\(15\) | −36.0169 | + | 45.5827i | −0.619968 | + | 0.784627i | ||||
\(16\) | −55.9546 | − | 20.3658i | −0.874291 | − | 0.318216i | ||||
\(17\) | −3.35507 | + | 0.898990i | −0.0478662 | + | 0.0128257i | −0.282673 | − | 0.959216i | \(-0.591221\pi\) |
0.234806 | + | 0.972042i | \(0.424554\pi\) | |||||||
\(18\) | 48.1347 | − | 55.9825i | 0.630303 | − | 0.733067i | ||||
\(19\) | −26.6239 | + | 15.3713i | −0.321471 | + | 0.185601i | −0.652048 | − | 0.758178i | \(-0.726090\pi\) |
0.330577 | + | 0.943779i | \(0.392757\pi\) | |||||||
\(20\) | −1.46611 | − | 5.65645i | −0.0163917 | − | 0.0632410i | ||||
\(21\) | −6.28197 | + | 45.5946i | −0.0652780 | + | 0.473789i | ||||
\(22\) | −32.2101 | + | 69.0747i | −0.312146 | + | 0.669399i | ||||
\(23\) | −56.3824 | − | 80.5223i | −0.511154 | − | 0.730003i | 0.477761 | − | 0.878490i | \(-0.341449\pi\) |
−0.988914 | + | 0.148487i | \(0.952560\pi\) | |||||||
\(24\) | 25.4982 | + | 118.381i | 0.216866 | + | 1.00685i | ||||
\(25\) | −81.9055 | + | 94.4272i | −0.655244 | + | 0.755417i | ||||
\(26\) | − | 128.744i | − | 0.971108i | ||||||
\(27\) | −138.743 | − | 20.8200i | −0.988927 | − | 0.148400i | ||||
\(28\) | −3.27347 | − | 3.27347i | −0.0220938 | − | 0.0220938i | ||||
\(29\) | −96.4407 | + | 80.9234i | −0.617538 | + | 0.518176i | −0.897028 | − | 0.441973i | \(-0.854279\pi\) |
0.279491 | + | 0.960148i | \(0.409834\pi\) | |||||||
\(30\) | 108.976 | − | 115.587i | 0.663207 | − | 0.703438i | ||||
\(31\) | −52.5424 | + | 297.983i | −0.304416 | + | 1.72643i | 0.321826 | + | 0.946799i | \(0.395703\pi\) |
−0.626242 | + | 0.779629i | \(0.715408\pi\) | |||||||
\(32\) | −21.4012 | − | 9.97952i | −0.118226 | − | 0.0551296i | ||||
\(33\) | 143.700 | − | 18.0395i | 0.758028 | − | 0.0951598i | ||||
\(34\) | 9.35371 | − | 1.64931i | 0.0471808 | − | 0.00831925i | ||||
\(35\) | −17.9944 | + | 97.3823i | −0.0869030 | + | 0.470303i | ||||
\(36\) | 10.0977 | − | 9.85751i | 0.0467484 | − | 0.0456366i | ||||
\(37\) | 82.3436 | + | 307.310i | 0.365870 | + | 1.36545i | 0.866237 | + | 0.499633i | \(0.166532\pi\) |
−0.500367 | + | 0.865813i | \(0.666802\pi\) | |||||||
\(38\) | 76.1888 | − | 35.5274i | 0.325249 | − | 0.151666i | ||||
\(39\) | −207.118 | + | 130.204i | −0.850397 | + | 0.534596i | ||||
\(40\) | 43.1431 | + | 256.961i | 0.170538 | + | 1.01573i | ||||
\(41\) | 82.6449 | − | 98.4923i | 0.314804 | − | 0.375169i | −0.585320 | − | 0.810802i | \(-0.699031\pi\) |
0.900124 | + | 0.435634i | \(0.143476\pi\) | |||||||
\(42\) | 27.9789 | − | 122.706i | 0.102791 | − | 0.450808i | ||||
\(43\) | −179.837 | − | 385.661i | −0.637786 | − | 1.36774i | −0.913635 | − | 0.406536i | \(-0.866737\pi\) |
0.275848 | − | 0.961201i | \(-0.411041\pi\) | |||||||
\(44\) | −7.28362 | + | 12.6156i | −0.0249556 | + | 0.0432244i | ||||
\(45\) | −296.162 | − | 58.4192i | −0.981095 | − | 0.193525i | ||||
\(46\) | 134.399 | + | 232.786i | 0.430784 | + | 0.746139i | ||||
\(47\) | 134.671 | − | 192.330i | 0.417952 | − | 0.596898i | −0.553873 | − | 0.832601i | \(-0.686851\pi\) |
0.971825 | + | 0.235704i | \(0.0757395\pi\) | |||||||
\(48\) | −38.5394 | − | 306.999i | −0.115889 | − | 0.923155i | ||||
\(49\) | −90.4791 | − | 248.589i | −0.263787 | − | 0.724750i | ||||
\(50\) | 245.621 | − | 237.706i | 0.694720 | − | 0.672334i | ||||
\(51\) | −12.1131 | − | 13.3798i | −0.0332582 | − | 0.0367363i | ||||
\(52\) | 2.14466 | − | 24.5135i | 0.00571943 | − | 0.0653734i | ||||
\(53\) | 346.279 | − | 346.279i | 0.897455 | − | 0.897455i | −0.0977551 | − | 0.995210i | \(-0.531166\pi\) |
0.995210 | + | 0.0977551i | \(0.0311662\pi\) | |||||||
\(54\) | 372.983 | + | 89.7810i | 0.939936 | + | 0.226253i | ||||
\(55\) | 310.645 | − | 24.6170i | 0.761590 | − | 0.0603520i | ||||
\(56\) | 132.688 | + | 158.131i | 0.316628 | + | 0.377342i | ||||
\(57\) | −134.208 | − | 86.6393i | −0.311864 | − | 0.201327i | ||||
\(58\) | 281.997 | − | 197.457i | 0.638415 | − | 0.447023i | ||||
\(59\) | 271.478 | − | 98.8098i | 0.599040 | − | 0.218033i | −0.0246606 | − | 0.999696i | \(-0.507851\pi\) |
0.623701 | + | 0.781663i | \(0.285628\pi\) | |||||||
\(60\) | 22.6751 | − | 20.1929i | 0.0487890 | − | 0.0434483i | ||||
\(61\) | 81.7502 | + | 463.628i | 0.171591 | + | 0.973140i | 0.942006 | + | 0.335597i | \(0.108938\pi\) |
−0.770415 | + | 0.637543i | \(0.779951\pi\) | |||||||
\(62\) | 214.146 | − | 799.203i | 0.438654 | − | 1.63708i | ||||
\(63\) | −225.700 | + | 79.0855i | −0.451358 | + | 0.158156i | ||||
\(64\) | 468.464 | + | 270.468i | 0.914969 | + | 0.528258i | ||||
\(65\) | −458.008 | + | 259.455i | −0.873983 | + | 0.495098i | ||||
\(66\) | −395.747 | + | 14.8936i | −0.738078 | + | 0.0277769i | ||||
\(67\) | −90.4160 | + | 7.91037i | −0.164867 | + | 0.0144240i | −0.169290 | − | 0.985566i | \(-0.554148\pi\) |
0.00442351 | + | 0.999990i | \(0.498592\pi\) | |||||||
\(68\) | 1.80847 | − | 0.158220i | 0.00322513 | − | 0.000282162i | ||||
\(69\) | 238.574 | − | 451.640i | 0.416245 | − | 0.787986i | ||||
\(70\) | 72.2266 | − | 260.988i | 0.123325 | − | 0.445628i | ||||
\(71\) | 776.238 | + | 448.161i | 1.29750 | + | 0.749112i | 0.979972 | − | 0.199137i | \(-0.0638140\pi\) |
0.317528 | + | 0.948249i | \(0.397147\pi\) | |||||||
\(72\) | −486.853 | + | 398.634i | −0.796892 | + | 0.652493i | ||||
\(73\) | 79.1294 | − | 295.315i | 0.126868 | − | 0.473479i | −0.873031 | − | 0.487665i | \(-0.837849\pi\) |
0.999899 | + | 0.0141854i | \(0.00451549\pi\) | |||||||
\(74\) | −151.070 | − | 856.759i | −0.237318 | − | 1.34590i | ||||
\(75\) | −630.816 | − | 154.744i | −0.971205 | − | 0.238244i | ||||
\(76\) | 15.0986 | − | 5.49543i | 0.0227885 | − | 0.00829432i | ||||
\(77\) | 202.232 | − | 141.604i | 0.299304 | − | 0.209575i | ||||
\(78\) | 595.236 | − | 305.322i | 0.864066 | − | 0.443217i | ||||
\(79\) | −342.109 | − | 407.710i | −0.487219 | − | 0.580645i | 0.465289 | − | 0.885159i | \(-0.345950\pi\) |
−0.952508 | + | 0.304514i | \(0.901506\pi\) | |||||||
\(80\) | −52.5916 | − | 663.660i | −0.0734990 | − | 0.927493i | ||||
\(81\) | −232.775 | − | 690.838i | −0.319307 | − | 0.947651i | ||||
\(82\) | −248.604 | + | 248.604i | −0.334801 | + | 0.334801i | ||||
\(83\) | −61.4214 | + | 702.049i | −0.0812273 | + | 0.928433i | 0.840810 | + | 0.541331i | \(0.182079\pi\) |
−0.922037 | + | 0.387102i | \(0.873476\pi\) | |||||||
\(84\) | 7.37138 | − | 22.8977i | 0.00957480 | − | 0.0297422i | ||||
\(85\) | −24.7177 | − | 29.9520i | −0.0315413 | − | 0.0382206i | ||||
\(86\) | 397.975 | + | 1093.43i | 0.499008 | + | 1.37101i | ||||
\(87\) | −602.854 | − | 253.971i | −0.742905 | − | 0.312971i | ||||
\(88\) | 372.571 | − | 532.087i | 0.451321 | − | 0.644553i | ||||
\(89\) | 713.782 | + | 1236.31i | 0.850121 | + | 1.47245i | 0.881099 | + | 0.472932i | \(0.156804\pi\) |
−0.0309780 | + | 0.999520i | \(0.509862\pi\) | |||||||
\(90\) | 792.844 | + | 229.721i | 0.928590 | + | 0.269052i | ||||
\(91\) | −208.516 | + | 361.160i | −0.240202 | + | 0.416042i | ||||
\(92\) | 21.7124 | + | 46.5624i | 0.0246052 | + | 0.0527660i | ||||
\(93\) | −1502.30 | + | 463.754i | −1.67507 | + | 0.517086i | ||||
\(94\) | −412.690 | + | 491.824i | −0.452826 | + | 0.539657i | ||||
\(95\) | −279.930 | − | 199.444i | −0.302318 | − | 0.215395i | ||||
\(96\) | −4.61442 | − | 122.613i | −0.00490581 | − | 0.130355i | ||||
\(97\) | −195.261 | + | 91.0516i | −0.204389 | + | 0.0953081i | −0.522117 | − | 0.852874i | \(-0.674858\pi\) |
0.317728 | + | 0.948182i | \(0.397080\pi\) | |||||||
\(98\) | 187.226 | + | 698.738i | 0.192987 | + | 0.720237i | ||||
\(99\) | 424.193 | + | 621.599i | 0.430637 | + | 0.631041i | ||||
\(100\) | 50.7272 | − | 41.1688i | 0.0507272 | − | 0.0411688i | ||||
\(101\) | −1301.43 | + | 229.477i | −1.28215 | + | 0.226077i | −0.772891 | − | 0.634539i | \(-0.781190\pi\) |
−0.509255 | + | 0.860616i | \(0.670079\pi\) | |||||||
\(102\) | 29.8081 | + | 39.3345i | 0.0289357 | + | 0.0381833i | ||||
\(103\) | 1792.60 | + | 835.904i | 1.71486 | + | 0.799651i | 0.994344 | + | 0.106209i | \(0.0338712\pi\) |
0.720513 | + | 0.693442i | \(0.243907\pi\) | |||||||
\(104\) | −190.534 | + | 1080.57i | −0.179648 | + | 1.01883i | ||||
\(105\) | −492.911 | + | 147.751i | −0.458126 | + | 0.137324i | ||||
\(106\) | −1025.82 | + | 860.762i | −0.939963 | + | 0.788723i | ||||
\(107\) | 184.357 | + | 184.357i | 0.166565 | + | 0.166565i | 0.785468 | − | 0.618903i | \(-0.212423\pi\) |
−0.618903 | + | 0.785468i | \(0.712423\pi\) | |||||||
\(108\) | 69.5222 | + | 23.3080i | 0.0619423 | + | 0.0207668i | ||||
\(109\) | 365.539i | 0.321214i | 0.987018 | + | 0.160607i | \(0.0513451\pi\) | ||||
−0.987018 | + | 0.160607i | \(0.948655\pi\) | |||||||
\(110\) | −852.087 | − | 6.97615i | −0.738575 | − | 0.00604682i | ||||
\(111\) | −1225.54 | + | 1109.51i | −1.04795 | + | 0.948735i | ||||
\(112\) | −302.522 | − | 432.046i | −0.255229 | − | 0.364505i | ||||
\(113\) | 399.235 | − | 856.162i | 0.332362 | − | 0.712752i | −0.667120 | − | 0.744950i | \(-0.732473\pi\) |
0.999481 | + | 0.0321984i | \(0.0102509\pi\) | |||||||
\(114\) | 344.942 | + | 267.996i | 0.283393 | + | 0.220177i | ||||
\(115\) | 557.285 | − | 947.251i | 0.451888 | − | 0.768101i | ||||
\(116\) | 56.9830 | − | 32.8991i | 0.0456098 | − | 0.0263328i | ||||
\(117\) | −1093.17 | − | 648.807i | −0.863793 | − | 0.512669i | ||||
\(118\) | −763.073 | + | 204.465i | −0.595310 | + | 0.159513i | ||||
\(119\) | −28.9108 | − | 10.5227i | −0.0222710 | − | 0.00810597i | ||||
\(120\) | −1085.72 | + | 808.860i | −0.825932 | + | 0.615321i | ||||
\(121\) | 424.501 | + | 356.199i | 0.318934 | + | 0.267617i | ||||
\(122\) | −112.199 | − | 1282.44i | −0.0832624 | − | 0.951693i | ||||
\(123\) | 651.365 | + | 148.521i | 0.477492 | + | 0.108876i | ||||
\(124\) | 54.0878 | − | 148.605i | 0.0391712 | − | 0.107622i | ||||
\(125\) | −1340.63 | − | 394.753i | −0.959278 | − | 0.282463i | ||||
\(126\) | 633.671 | − | 161.644i | 0.448031 | − | 0.114289i | ||||
\(127\) | 1121.75 | + | 300.571i | 0.783771 | + | 0.210011i | 0.628446 | − | 0.777853i | \(-0.283691\pi\) |
0.155324 | + | 0.987864i | \(0.450358\pi\) | |||||||
\(128\) | −1056.93 | − | 740.067i | −0.729843 | − | 0.511041i | ||||
\(129\) | 1356.57 | − | 1746.07i | 0.925888 | − | 1.19172i | ||||
\(130\) | 1309.48 | − | 597.618i | 0.883454 | − | 0.403189i | ||||
\(131\) | 803.907 | + | 141.750i | 0.536165 | + | 0.0945404i | 0.435173 | − | 0.900347i | \(-0.356687\pi\) |
0.100992 | + | 0.994887i | \(0.467798\pi\) | |||||||
\(132\) | −75.6003 | − | 3.75666i | −0.0498497 | − | 0.00247708i | ||||
\(133\) | −271.270 | − | 23.7330i | −0.176858 | − | 0.0154730i | ||||
\(134\) | 248.185 | 0.159999 | ||||||||
\(135\) | −432.266 | − | 1507.82i | −0.275582 | − | 0.961278i | ||||
\(136\) | −80.9481 | −0.0510386 | ||||||||
\(137\) | −441.390 | − | 38.6166i | −0.275259 | − | 0.0240820i | −0.0513095 | − | 0.998683i | \(-0.516339\pi\) |
−0.223949 | + | 0.974601i | \(0.571895\pi\) | |||||||
\(138\) | −757.528 | + | 1173.44i | −0.467283 | + | 0.723840i | ||||
\(139\) | −446.396 | − | 78.7117i | −0.272395 | − | 0.0480305i | 0.0357823 | − | 0.999360i | \(-0.488608\pi\) |
−0.308177 | + | 0.951329i | \(0.599719\pi\) | |||||||
\(140\) | 18.0999 | − | 48.4901i | 0.0109266 | − | 0.0292726i | ||||
\(141\) | 1208.59 | + | 166.518i | 0.721858 | + | 0.0994566i | ||||
\(142\) | −2007.72 | − | 1405.82i | −1.18651 | − | 0.830800i | ||||
\(143\) | 1267.56 | + | 339.640i | 0.741247 | + | 0.198617i | ||||
\(144\) | 1327.98 | − | 906.243i | 0.768507 | − | 0.524446i | ||||
\(145\) | −1270.75 | − | 605.277i | −0.727796 | − | 0.346659i | ||||
\(146\) | −285.935 | + | 785.600i | −0.162083 | + | 0.445320i | ||||
\(147\) | 934.752 | − | 1007.86i | 0.524470 | − | 0.565489i | ||||
\(148\) | −14.4923 | − | 165.648i | −0.00804905 | − | 0.0920011i | ||||
\(149\) | −724.379 | − | 607.826i | −0.398278 | − | 0.334195i | 0.421550 | − | 0.906805i | \(-0.361486\pi\) |
−0.819828 | + | 0.572610i | \(0.805931\pi\) | |||||||
\(150\) | 1681.51 | + | 571.872i | 0.915297 | + | 0.311288i | ||||
\(151\) | −1243.43 | − | 452.573i | −0.670127 | − | 0.243906i | −0.0155243 | − | 0.999879i | \(-0.504942\pi\) |
−0.654602 | + | 0.755973i | \(0.727164\pi\) | |||||||
\(152\) | −692.044 | + | 185.433i | −0.369291 | + | 0.0989512i | ||||
\(153\) | 33.1337 | − | 87.7344i | 0.0175078 | − | 0.0463589i | ||||
\(154\) | −584.641 | + | 337.543i | −0.305920 | + | 0.176623i | ||||
\(155\) | −3274.73 | + | 848.789i | −1.69698 | + | 0.439847i | ||||
\(156\) | 118.422 | − | 48.2193i | 0.0607778 | − | 0.0247476i | ||||
\(157\) | −264.705 | + | 567.661i | −0.134559 | + | 0.288562i | −0.962029 | − | 0.272947i | \(-0.912002\pi\) |
0.827470 | + | 0.561510i | \(0.189779\pi\) | |||||||
\(158\) | 834.761 | + | 1192.16i | 0.420317 | + | 0.600275i | ||||
\(159\) | 2422.20 | + | 779.771i | 1.20813 | + | 0.388930i | ||||
\(160\) | 2.16139 | − | 263.999i | 0.00106796 | − | 0.130443i | ||||
\(161\) | − | 870.697i | − | 0.426215i | ||||||
\(162\) | 469.451 | + | 1937.37i | 0.227676 | + | 0.939592i | ||||
\(163\) | 1284.80 | + | 1284.80i | 0.617380 | + | 0.617380i | 0.944859 | − | 0.327478i | \(-0.106199\pi\) |
−0.327478 | + | 0.944859i | \(0.606199\pi\) | |||||||
\(164\) | −51.4766 | + | 43.1940i | −0.0245101 | + | 0.0205664i | ||||
\(165\) | 850.523 | + | 1377.86i | 0.401292 | + | 0.650097i | ||||
\(166\) | 334.632 | − | 1897.79i | 0.156461 | − | 0.887333i | ||||
\(167\) | 3335.78 | + | 1555.50i | 1.54569 | + | 0.720768i | 0.993594 | − | 0.113012i | \(-0.0360498\pi\) |
0.552098 | + | 0.833780i | \(0.313828\pi\) | |||||||
\(168\) | −416.429 | + | 988.483i | −0.191239 | + | 0.453947i | ||||
\(169\) | −19.4040 | + | 3.42144i | −0.00883202 | + | 0.00155732i | ||||
\(170\) | 60.1944 | + | 87.4822i | 0.0271571 | + | 0.0394681i | ||||
\(171\) | 82.2890 | − | 825.963i | 0.0368000 | − | 0.369374i | ||||
\(172\) | 57.5617 | + | 214.823i | 0.0255177 | + | 0.0952333i | ||||
\(173\) | 2063.57 | − | 962.257i | 0.906879 | − | 0.422885i | 0.0875182 | − | 0.996163i | \(-0.472106\pi\) |
0.819361 | + | 0.573278i | \(0.194329\pi\) | |||||||
\(174\) | 1581.69 | + | 835.509i | 0.689123 | + | 0.364022i | ||||
\(175\) | −1074.02 | + | 269.015i | −0.463933 | + | 0.116204i | ||||
\(176\) | −1066.81 | + | 1271.37i | −0.456897 | + | 0.544508i | ||||
\(177\) | 1100.66 | + | 1020.82i | 0.467404 | + | 0.433499i | ||||
\(178\) | −1649.75 | − | 3537.90i | −0.694685 | − | 1.48976i | ||||
\(179\) | 1173.16 | − | 2031.98i | 0.489867 | − | 0.848475i | −0.510065 | − | 0.860136i | \(-0.670379\pi\) |
0.999932 | + | 0.0116613i | \(0.00371199\pi\) | |||||||
\(180\) | 147.135 | + | 56.9474i | 0.0609265 | + | 0.0235812i | ||||
\(181\) | 1403.46 | + | 2430.87i | 0.576345 | + | 0.998259i | 0.995894 | + | 0.0905260i | \(0.0288548\pi\) |
−0.419549 | + | 0.907733i | \(0.637812\pi\) | |||||||
\(182\) | 654.085 | − | 934.131i | 0.266396 | − | 0.380453i | ||||
\(183\) | −1949.66 | + | 1477.48i | −0.787559 | + | 0.596821i | ||||
\(184\) | −783.523 | − | 2152.71i | −0.313925 | − | 0.862501i | ||||
\(185\) | −2743.48 | + | 2264.03i | −1.09029 | + | 0.899758i | ||||
\(186\) | 4202.89 | − | 905.262i | 1.65683 | − | 0.356866i | ||||
\(187\) | −8.43770 | + | 96.4433i | −0.00329960 | + | 0.0377146i | ||||
\(188\) | −86.7711 | + | 86.7711i | −0.0336619 | + | 0.0336619i | ||||
\(189\) | −900.900 | − | 855.946i | −0.346724 | − | 0.329423i | ||||
\(190\) | 715.017 | + | 610.015i | 0.273015 | + | 0.232922i | ||||
\(191\) | −1158.40 | − | 1380.53i | −0.438843 | − | 0.522993i | 0.500609 | − | 0.865674i | \(-0.333110\pi\) |
−0.939452 | + | 0.342680i | \(0.888665\pi\) | |||||||
\(192\) | −139.499 | + | 2807.32i | −0.0524346 | + | 1.05521i | ||||
\(193\) | 1901.33 | − | 1331.33i | 0.709123 | − | 0.496534i | −0.162501 | − | 0.986708i | \(-0.551956\pi\) |
0.871624 | + | 0.490175i | \(0.163067\pi\) | |||||||
\(194\) | 553.604 | − | 201.495i | 0.204879 | − | 0.0745697i | ||||
\(195\) | −2285.75 | − | 1502.24i | −0.839414 | − | 0.551682i | ||||
\(196\) | 24.0090 | + | 136.162i | 0.00874965 | + | 0.0496217i | ||||
\(197\) | 391.822 | − | 1462.30i | 0.141706 | − | 0.528855i | −0.858174 | − | 0.513360i | \(-0.828401\pi\) |
0.999880 | − | 0.0154956i | \(-0.00493260\pi\) | |||||||
\(198\) | −1007.39 | − | 1794.38i | −0.361576 | − | 0.644044i | ||||
\(199\) | −4503.19 | − | 2599.92i | −1.60413 | − | 0.926148i | −0.990648 | − | 0.136443i | \(-0.956433\pi\) |
−0.613487 | − | 0.789705i | \(-0.710234\pi\) | |||||||
\(200\) | −2413.33 | + | 1631.60i | −0.853240 | + | 0.576858i | ||||
\(201\) | −250.998 | − | 399.269i | −0.0880797 | − | 0.140111i | ||||
\(202\) | 3599.87 | − | 314.948i | 1.25389 | − | 0.109701i | ||||
\(203\) | −1110.88 | + | 97.1891i | −0.384080 | + | 0.0336027i | ||||
\(204\) | 5.02037 | + | 7.98603i | 0.00172302 | + | 0.00274085i | ||||
\(205\) | 1385.41 | + | 383.404i | 0.472007 | + | 0.130625i | ||||
\(206\) | −4683.95 | − | 2704.28i | −1.58421 | − | 0.914642i | ||||
\(207\) | 2653.90 | + | 31.9381i | 0.891105 | + | 0.0107239i | ||||
\(208\) | 725.605 | − | 2707.99i | 0.241883 | − | 0.902719i | ||||
\(209\) | 148.793 | + | 843.845i | 0.0492450 | + | 0.279282i | ||||
\(210\) | 1377.94 | − | 285.010i | 0.452794 | − | 0.0936552i | ||||
\(211\) | 990.134 | − | 360.379i | 0.323050 | − | 0.117581i | −0.175404 | − | 0.984496i | \(-0.556123\pi\) |
0.498455 | + | 0.866916i | \(0.333901\pi\) | |||||||
\(212\) | −209.659 | + | 146.805i | −0.0679220 | + | 0.0475595i | ||||
\(213\) | −231.147 | + | 4651.69i | −0.0743564 | + | 1.49638i | ||||
\(214\) | −458.264 | − | 546.137i | −0.146384 | − | 0.174454i | ||||
\(215\) | 3087.84 | − | 3619.35i | 0.979483 | − | 1.14808i | ||||
\(216\) | −2997.64 | − | 1305.54i | −0.944275 | − | 0.411253i | ||||
\(217\) | −1895.13 | + | 1895.13i | −0.592857 | + | 0.592857i | ||||
\(218\) | 87.1172 | − | 995.754i | 0.0270657 | − | 0.309362i | ||||
\(219\) | 1553.02 | − | 334.505i | 0.479192 | − | 0.103213i | ||||
\(220\) | −162.125 | − | 15.5226i | −0.0496840 | − | 0.00475697i | ||||
\(221\) | −55.9325 | − | 153.673i | −0.0170245 | − | 0.0467745i | ||||
\(222\) | 3602.87 | − | 2730.29i | 1.08923 | − | 0.825430i | ||||
\(223\) | 1026.66 | − | 1466.22i | 0.308297 | − | 0.440294i | −0.634867 | − | 0.772621i | \(-0.718945\pi\) |
0.943164 | + | 0.332328i | \(0.107834\pi\) | |||||||
\(224\) | −104.580 | − | 181.137i | −0.0311943 | − | 0.0540301i | ||||
\(225\) | −780.565 | − | 3283.50i | −0.231279 | − | 0.972888i | ||||
\(226\) | −1291.59 | + | 2237.10i | −0.380156 | + | 0.658449i | ||||
\(227\) | 2176.01 | + | 4666.47i | 0.636242 | + | 1.36443i | 0.914761 | + | 0.403995i | \(0.132379\pi\) |
−0.278519 | + | 0.960431i | \(0.589844\pi\) | |||||||
\(228\) | 61.2144 | + | 56.7740i | 0.0177808 | + | 0.0164910i | ||||
\(229\) | −1996.18 | + | 2378.96i | −0.576032 | + | 0.686488i | −0.972857 | − | 0.231406i | \(-0.925667\pi\) |
0.396825 | + | 0.917894i | \(0.370112\pi\) | |||||||
\(230\) | −1743.84 | + | 2447.56i | −0.499936 | + | 0.701685i | ||||
\(231\) | 1134.29 | + | 599.177i | 0.323078 | + | 0.170662i | ||||
\(232\) | −2659.07 | + | 1239.95i | −0.752486 | + | 0.350890i | ||||
\(233\) | −17.8577 | − | 66.6457i | −0.00502101 | − | 0.0187387i | 0.963370 | − | 0.268176i | \(-0.0864209\pi\) |
−0.968391 | + | 0.249438i | \(0.919754\pi\) | |||||||
\(234\) | 2823.25 | + | 2027.93i | 0.788725 | + | 0.566537i | ||||
\(235\) | 2581.35 | + | 476.984i | 0.716547 | + | 0.132404i | ||||
\(236\) | −148.699 | + | 26.2196i | −0.0410147 | + | 0.00723200i | ||||
\(237\) | 1073.68 | − | 2548.61i | 0.294274 | − | 0.698522i | ||||
\(238\) | 76.2471 | + | 35.5546i | 0.0207662 | + | 0.00968346i | ||||
\(239\) | −821.993 | + | 4661.75i | −0.222470 | + | 1.26169i | 0.644993 | + | 0.764188i | \(0.276860\pi\) |
−0.867463 | + | 0.497501i | \(0.834251\pi\) | |||||||
\(240\) | 2943.64 | − | 1817.05i | 0.791713 | − | 0.488708i | ||||
\(241\) | 1822.96 | − | 1529.65i | 0.487251 | − | 0.408852i | −0.365789 | − | 0.930698i | \(-0.619201\pi\) |
0.853040 | + | 0.521846i | \(0.174756\pi\) | |||||||
\(242\) | −1071.48 | − | 1071.48i | −0.284617 | − | 0.284617i | ||||
\(243\) | 2641.98 | − | 2714.56i | 0.697462 | − | 0.716622i | ||||
\(244\) | − | 246.052i | − | 0.0645568i | ||||||
\(245\) | 2108.45 | − | 2074.21i | 0.549812 | − | 0.540882i | ||||
\(246\) | −1738.97 | − | 559.819i | −0.450701 | − | 0.145093i | ||||
\(247\) | −830.208 | − | 1185.66i | −0.213866 | − | 0.305432i | ||||
\(248\) | −2980.14 | + | 6390.92i | −0.763060 | + | 1.63639i | ||||
\(249\) | −3391.52 | + | 1380.96i | −0.863167 | + | 0.351466i | ||||
\(250\) | 3557.90 | + | 1394.84i | 0.900084 | + | 0.352870i | ||||
\(251\) | 3231.35 | − | 1865.62i | 0.812595 | − | 0.469152i | −0.0352614 | − | 0.999378i | \(-0.511226\pi\) |
0.847856 | + | 0.530226i | \(0.177893\pi\) | |||||||
\(252\) | 123.347 | − | 20.2220i | 0.0308338 | − | 0.00505503i | ||||
\(253\) | −2646.46 | + | 709.116i | −0.657634 | + | 0.176213i | ||||
\(254\) | −2984.08 | − | 1086.12i | −0.737157 | − | 0.268303i | ||||
\(255\) | 79.8610 | − | 185.312i | 0.0196121 | − | 0.0455086i | ||||
\(256\) | −612.287 | − | 513.770i | −0.149484 | − | 0.125432i | ||||
\(257\) | −640.326 | − | 7318.96i | −0.155418 | − | 1.77644i | −0.528789 | − | 0.848753i | \(-0.677354\pi\) |
0.373371 | − | 0.927682i | \(-0.378202\pi\) | |||||||
\(258\) | −4111.53 | + | 4433.10i | −0.992142 | + | 1.06974i | ||||
\(259\) | −963.830 | + | 2648.10i | −0.231233 | + | 0.635309i | ||||
\(260\) | 259.287 | − | 91.9757i | 0.0618472 | − | 0.0219388i | ||||
\(261\) | −255.486 | − | 3389.53i | −0.0605907 | − | 0.803858i | ||||
\(262\) | −2156.12 | − | 577.729i | −0.508417 | − | 0.136230i | ||||
\(263\) | 763.101 | + | 534.329i | 0.178916 | + | 0.125278i | 0.659604 | − | 0.751614i | \(-0.270724\pi\) |
−0.480688 | + | 0.876892i | \(0.659613\pi\) | |||||||
\(264\) | 3343.61 | + | 460.679i | 0.779490 | + | 0.107397i | ||||
\(265\) | 5129.46 | + | 1914.67i | 1.18906 | + | 0.443839i | ||||
\(266\) | 733.301 | + | 129.301i | 0.169028 | + | 0.0298043i | ||||
\(267\) | −4023.17 | + | 6232.05i | −0.922151 | + | 1.42845i | ||||
\(268\) | 47.2556 | + | 4.13433i | 0.0107709 | + | 0.000942329i | ||||
\(269\) | −4330.06 | −0.981443 | −0.490722 | − | 0.871316i | \(-0.663267\pi\) | ||||
−0.490722 | + | 0.871316i | \(0.663267\pi\) | |||||||
\(270\) | 818.172 | + | 4210.43i | 0.184416 | + | 0.949031i | ||||
\(271\) | 6520.65 | 1.46163 | 0.730815 | − | 0.682576i | \(-0.239140\pi\) | ||||
0.730815 | + | 0.682576i | \(0.239140\pi\) | |||||||
\(272\) | 206.041 | + | 18.0262i | 0.0459303 | + | 0.00401838i | ||||
\(273\) | −2164.29 | − | 107.546i | −0.479812 | − | 0.0238424i | ||||
\(274\) | 1193.17 | + | 210.389i | 0.263074 | + | 0.0463870i | ||||
\(275\) | 1692.37 | + | 3045.36i | 0.371105 | + | 0.667789i | ||||
\(276\) | −163.785 | + | 210.810i | −0.0357198 | + | 0.0459756i | ||||
\(277\) | −5628.59 | − | 3941.18i | −1.22090 | − | 0.854883i | −0.227979 | − | 0.973666i | \(-0.573212\pi\) |
−0.992920 | + | 0.118783i | \(0.962101\pi\) | |||||||
\(278\) | 1197.26 | + | 320.804i | 0.258297 | + | 0.0692105i | ||||
\(279\) | −5706.88 | − | 5845.91i | −1.22459 | − | 1.25443i | ||||
\(280\) | −992.456 | + | 2083.62i | −0.211824 | + | 0.444715i | ||||
\(281\) | 823.565 | − | 2262.73i | 0.174839 | − | 0.480366i | −0.821060 | − | 0.570843i | \(-0.806617\pi\) |
0.995899 | + | 0.0904762i | \(0.0288389\pi\) | |||||||
\(282\) | −3252.61 | − | 741.646i | −0.686844 | − | 0.156611i | ||||
\(283\) | −685.718 | − | 7837.79i | −0.144034 | − | 1.64632i | −0.633098 | − | 0.774071i | \(-0.718217\pi\) |
0.489064 | − | 0.872248i | \(-0.337338\pi\) | |||||||
\(284\) | −358.861 | − | 301.120i | −0.0749805 | − | 0.0629161i | ||||
\(285\) | 258.245 | − | 1767.22i | 0.0536740 | − | 0.367302i | ||||
\(286\) | −3371.96 | − | 1227.29i | −0.697162 | − | 0.253746i | ||||
\(287\) | 1100.04 | − | 294.754i | 0.226248 | − | 0.0606229i | ||||
\(288\) | 555.945 | − | 312.116i | 0.113748 | − | 0.0638597i | ||||
\(289\) | −4244.33 | + | 2450.47i | −0.863899 | + | 0.498772i | ||||
\(290\) | 3317.37 | + | 1951.67i | 0.671733 | + | 0.395193i | ||||
\(291\) | −884.036 | − | 686.835i | −0.178086 | − | 0.138361i | ||||
\(292\) | −67.5302 | + | 144.819i | −0.0135339 | + | 0.0290236i | ||||
\(293\) | 3010.50 | + | 4299.44i | 0.600257 | + | 0.857256i | 0.998189 | − | 0.0601588i | \(-0.0191607\pi\) |
−0.397931 | + | 0.917415i | \(0.630272\pi\) | |||||||
\(294\) | −2786.53 | + | 2522.71i | −0.552767 | + | 0.500433i | ||||
\(295\) | 2265.18 | + | 2302.58i | 0.447065 | + | 0.454446i | ||||
\(296\) | 7414.50i | 1.45594i | ||||||||
\(297\) | −1867.91 | + | 3435.36i | −0.364939 | + | 0.671178i | ||||
\(298\) | 1828.40 | + | 1828.40i | 0.355424 | + | 0.355424i | ||||
\(299\) | 3545.35 | − | 2974.91i | 0.685730 | − | 0.575395i | ||||
\(300\) | 310.641 | + | 136.898i | 0.0597829 | + | 0.0263461i | ||||
\(301\) | 654.508 | − | 3711.90i | 0.125333 | − | 0.710799i | ||||
\(302\) | 3279.34 | + | 1529.18i | 0.624850 | + | 0.291372i | ||||
\(303\) | −4147.35 | − | 5472.80i | −0.786333 | − | 1.03764i | ||||
\(304\) | 1802.78 | − | 317.879i | 0.340121 | − | 0.0599724i | ||||
\(305\) | −4336.17 | + | 2983.61i | −0.814060 | + | 0.560135i | ||||
\(306\) | −111.168 | + | 231.098i | −0.0207681 | + | 0.0431732i | ||||
\(307\) | 854.117 | + | 3187.61i | 0.158785 | + | 0.592594i | 0.998751 | + | 0.0499556i | \(0.0159080\pi\) |
−0.839966 | + | 0.542639i | \(0.817425\pi\) | |||||||
\(308\) | −116.941 | + | 54.5307i | −0.0216343 | + | 0.0100882i | ||||
\(309\) | 386.513 | + | 10270.3i | 0.0711584 | + | 1.89080i | ||||
\(310\) | 9122.88 | − | 1531.71i | 1.67143 | − | 0.280630i | ||||
\(311\) | 3285.53 | − | 3915.54i | 0.599052 | − | 0.713923i | −0.378266 | − | 0.925697i | \(-0.623480\pi\) |
0.977319 | + | 0.211774i | \(0.0679241\pi\) | |||||||
\(312\) | −5447.77 | + | 1681.71i | −0.988523 | + | 0.305153i | ||||
\(313\) | 1638.86 | + | 3514.54i | 0.295954 | + | 0.634676i | 0.996912 | − | 0.0785266i | \(-0.0250216\pi\) |
−0.700958 | + | 0.713203i | \(0.747244\pi\) | |||||||
\(314\) | 856.362 | − | 1483.26i | 0.153909 | − | 0.266578i | ||||
\(315\) | −1852.07 | − | 1928.53i | −0.331277 | − | 0.344953i | ||||
\(316\) | 139.083 | + | 240.899i | 0.0247596 | + | 0.0428850i | ||||
\(317\) | −5069.68 | + | 7240.26i | −0.898239 | + | 1.28282i | 0.0603943 | + | 0.998175i | \(0.480764\pi\) |
−0.958633 | + | 0.284644i | \(0.908125\pi\) | |||||||
\(318\) | −6412.41 | − | 2701.42i | −1.13079 | − | 0.476378i | ||||
\(319\) | 1200.13 | + | 3297.32i | 0.210640 | + | 0.578730i | ||||
\(320\) | −576.412 | + | 6020.32i | −0.100695 | + | 1.05171i | ||||
\(321\) | −415.145 | + | 1289.56i | −0.0721842 | + | 0.224226i | ||||
\(322\) | −207.509 | + | 2371.84i | −0.0359131 | + | 0.410489i | ||||
\(323\) | 75.5066 | − | 75.5066i | 0.0130071 | − | 0.0130071i | ||||
\(324\) | 57.1126 | + | 376.704i | 0.00979297 | + | 0.0645927i | ||||
\(325\) | −4764.99 | − | 3454.11i | −0.813273 | − | 0.589538i | ||||
\(326\) | −3193.68 | − | 3806.07i | −0.542581 | − | 0.646623i | ||||
\(327\) | −1690.03 | + | 866.891i | −0.285807 | + | 0.146603i | ||||
\(328\) | 2454.49 | − | 1718.65i | 0.413191 | − | 0.289319i | ||||
\(329\) | 1954.26 | − | 711.294i | 0.327483 | − | 0.119194i | ||||
\(330\) | −1988.50 | − | 3956.08i | −0.331708 | − | 0.659924i | ||||
\(331\) | 865.445 | + | 4908.18i | 0.143713 | + | 0.815039i | 0.968391 | + | 0.249436i | \(0.0802454\pi\) |
−0.824678 | + | 0.565603i | \(0.808644\pi\) | |||||||
\(332\) | 95.3296 | − | 355.775i | 0.0157587 | − | 0.0588123i | ||||
\(333\) | −8036.09 | − | 3034.90i | −1.32245 | − | 0.499434i | ||||
\(334\) | −8716.18 | − | 5032.29i | −1.42793 | − | 0.824415i | ||||
\(335\) | −500.160 | − | 882.917i | −0.0815721 | − | 0.143997i | ||||
\(336\) | 1280.08 | − | 2423.29i | 0.207839 | − | 0.393457i | ||||
\(337\) | −4509.27 | + | 394.510i | −0.728889 | + | 0.0637695i | −0.445559 | − | 0.895253i | \(-0.646995\pi\) |
−0.283331 | + | 0.959022i | \(0.591439\pi\) | |||||||
\(338\) | 53.6731 | − | 4.69579i | 0.00863738 | − | 0.000755673i | ||||
\(339\) | 4905.18 | − | 184.602i | 0.785879 | − | 0.0295758i | ||||
\(340\) | 10.0040 | + | 17.6598i | 0.00159572 | + | 0.00281687i | ||||
\(341\) | 7303.64 | + | 4216.76i | 1.15987 | + | 0.669649i | ||||
\(342\) | −421.009 | + | 2230.37i | −0.0665659 | + | 0.352645i | ||||
\(343\) | 1392.80 | − | 5198.00i | 0.219254 | − | 0.818267i | ||||
\(344\) | −1722.06 | − | 9766.29i | −0.269905 | − | 1.53071i | ||||
\(345\) | 5701.14 | + | 330.106i | 0.889679 | + | 0.0515139i | ||||
\(346\) | −5850.63 | + | 2129.45i | −0.909051 | + | 0.330868i | ||||
\(347\) | 8755.69 | − | 6130.80i | 1.35455 | − | 0.948469i | 0.354644 | − | 0.935001i | \(-0.384602\pi\) |
0.999909 | − | 0.0134672i | \(-0.00428686\pi\) | |||||||
\(348\) | 287.243 | + | 185.433i | 0.0442467 | + | 0.0285640i | ||||
\(349\) | 5133.41 | + | 6117.76i | 0.787350 | + | 0.938327i | 0.999241 | − | 0.0389660i | \(-0.0124064\pi\) |
−0.211890 | + | 0.977293i | \(0.567962\pi\) | |||||||
\(350\) | 2989.82 | − | 476.849i | 0.456607 | − | 0.0728248i | ||||
\(351\) | 407.189 | − | 6592.84i | 0.0619207 | − | 1.00256i | ||||
\(352\) | −465.389 | + | 465.389i | −0.0704696 | + | 0.0704696i | ||||
\(353\) | −237.047 | + | 2709.46i | −0.0357415 | + | 0.408527i | 0.957158 | + | 0.289567i | \(0.0935114\pi\) |
−0.992899 | + | 0.118959i | \(0.962044\pi\) | |||||||
\(354\) | −2754.98 | − | 3043.09i | −0.413632 | − | 0.456889i | ||||
\(355\) | −955.104 | + | 9975.56i | −0.142793 | + | 1.49140i | ||||
\(356\) | −255.185 | − | 701.115i | −0.0379910 | − | 0.104379i | ||||
\(357\) | −19.9126 | − | 158.621i | −0.00295207 | − | 0.0235157i | ||||
\(358\) | −3680.04 | + | 5255.65i | −0.543286 | + | 0.775893i | ||||
\(359\) | −6748.32 | − | 11688.4i | −0.992096 | − | 1.71836i | −0.604717 | − | 0.796440i | \(-0.706714\pi\) |
−0.387379 | − | 0.921921i | \(-0.626619\pi\) | |||||||
\(360\) | −6314.50 | − | 3101.45i | −0.924454 | − | 0.454058i | ||||
\(361\) | −2956.94 | + | 5121.58i | −0.431104 | + | 0.746694i | ||||
\(362\) | −3243.79 | − | 6956.33i | −0.470966 | − | 1.00999i | ||||
\(363\) | −640.127 | + | 2807.38i | −0.0925563 | + | 0.405920i | ||||
\(364\) | 140.102 | − | 166.967i | 0.0201740 | − | 0.0240425i | ||||
\(365\) | 3371.01 | − | 565.984i | 0.483416 | − | 0.0811643i | ||||
\(366\) | 5663.14 | − | 3560.10i | 0.808790 | − | 0.508441i | ||||
\(367\) | 9900.31 | − | 4616.59i | 1.40815 | − | 0.656632i | 0.437966 | − | 0.898992i | \(-0.355699\pi\) |
0.970187 | + | 0.242359i | \(0.0779213\pi\) | |||||||
\(368\) | 1514.95 | + | 5653.87i | 0.214598 | + | 0.800892i | ||||
\(369\) | 858.064 | + | 3363.74i | 0.121054 | + | 0.474551i | ||||
\(370\) | 8012.99 | − | 5513.55i | 1.12588 | − | 0.774691i | ||||
\(371\) | 4271.78 | − | 753.229i | 0.597789 | − | 0.105406i | ||||
\(372\) | 815.331 | − | 102.353i | 0.113637 | − | 0.0142655i | ||||
\(373\) | −5180.38 | − | 2415.65i | −0.719115 | − | 0.335329i | 0.0283789 | − | 0.999597i | \(-0.490965\pi\) |
−0.747494 | + | 0.664268i | \(0.768743\pi\) | |||||||
\(374\) | 45.9697 | − | 260.707i | 0.00635572 | − | 0.0360451i | ||||
\(375\) | −1354.26 | − | 7134.45i | −0.186490 | − | 0.982457i | ||||
\(376\) | 4191.64 | − | 3517.21i | 0.574914 | − | 0.482410i | ||||
\(377\) | −4191.27 | − | 4191.27i | −0.572576 | − | 0.572576i | ||||
\(378\) | 2250.12 | + | 2546.36i | 0.306174 | + | 0.346484i | ||||
\(379\) | 11062.4i | 1.49930i | 0.661834 | + | 0.749650i | \(0.269778\pi\) | ||||
−0.661834 | + | 0.749650i | \(0.730222\pi\) | |||||||
\(380\) | 125.981 | + | 128.061i | 0.0170071 | + | 0.0172878i | ||||
\(381\) | 1270.61 | + | 5899.09i | 0.170854 | + | 0.793227i | ||||
\(382\) | 2826.56 | + | 4036.74i | 0.378584 | + | 0.540674i | ||||
\(383\) | 5394.60 | − | 11568.7i | 0.719715 | − | 1.54343i | −0.115375 | − | 0.993322i | \(-0.536807\pi\) |
0.835090 | − | 0.550113i | \(-0.185415\pi\) | |||||||
\(384\) | 915.082 | − | 6641.68i | 0.121608 | − | 0.882635i | ||||
\(385\) | 2379.02 | + | 1399.62i | 0.314925 | + | 0.185276i | ||||
\(386\) | −5496.65 | + | 3173.49i | −0.724798 | + | 0.418462i | ||||
\(387\) | 11289.9 | + | 2131.11i | 1.48294 | + | 0.279923i | ||||
\(388\) | 108.765 | − | 29.1436i | 0.0142313 | − | 0.00381326i | ||||
\(389\) | 3518.04 | + | 1280.46i | 0.458539 | + | 0.166895i | 0.560954 | − | 0.827847i | \(-0.310435\pi\) |
−0.102415 | + | 0.994742i | \(0.532657\pi\) | |||||||
\(390\) | 5868.51 | + | 4636.97i | 0.761958 | + | 0.602056i | ||||
\(391\) | 261.556 | + | 219.471i | 0.0338298 | + | 0.0283866i | ||||
\(392\) | −537.330 | − | 6141.71i | −0.0692328 | − | 0.791335i | ||||
\(393\) | 1251.13 | + | 4052.95i | 0.160588 | + | 0.520214i | ||||
\(394\) | −1415.85 | + | 3890.02i | −0.181040 | + | 0.497402i | ||||
\(395\) | 2558.85 | − | 5372.20i | 0.325949 | − | 0.684316i | ||||
\(396\) | −161.921 | − | 358.439i | −0.0205475 | − | 0.0454855i | ||||
\(397\) | 1565.33 | + | 419.430i | 0.197889 | + | 0.0530241i | 0.356402 | − | 0.934333i | \(-0.384003\pi\) |
−0.158513 | + | 0.987357i | \(0.550670\pi\) | |||||||
\(398\) | 11647.4 | + | 8155.58i | 1.46691 | + | 1.02714i | ||||
\(399\) | −533.600 | − | 1310.47i | −0.0669509 | − | 0.164425i | ||||
\(400\) | 6506.08 | − | 3615.56i | 0.813260 | − | 0.451945i | ||||
\(401\) | −14498.0 | − | 2556.39i | −1.80547 | − | 0.318354i | −0.833337 | − | 0.552766i | \(-0.813572\pi\) |
−0.972137 | + | 0.234412i | \(0.924684\pi\) | |||||||
\(402\) | 588.580 | + | 1147.46i | 0.0730241 | + | 0.142363i | ||||
\(403\) | −14191.8 | − | 1241.62i | −1.75420 | − | 0.153473i | ||||
\(404\) | 690.679 | 0.0850558 | ||||||||
\(405\) | 5946.11 | − | 5574.39i | 0.729542 | − | 0.683935i | ||||
\(406\) | 3049.27 | 0.372741 | ||||||||
\(407\) | 8833.79 | + | 772.856i | 1.07586 | + | 0.0941255i | ||||
\(408\) | −191.972 | − | 374.255i | −0.0232942 | − | 0.0454127i | ||||
\(409\) | −698.345 | − | 123.137i | −0.0844278 | − | 0.0148869i | 0.131275 | − | 0.991346i | \(-0.458093\pi\) |
−0.215702 | + | 0.976459i | \(0.569204\pi\) | |||||||
\(410\) | −3682.58 | − | 1374.60i | −0.443585 | − | 0.165577i | ||||
\(411\) | −868.234 | − | 2132.30i | −0.104202 | − | 0.255909i | ||||
\(412\) | −846.799 | − | 592.935i | −0.101259 | − | 0.0709025i | ||||
\(413\) | 2471.77 | + | 662.308i | 0.294498 | + | 0.0789105i | ||||
\(414\) | −7221.79 | − | 719.492i | −0.857323 | − | 0.0854133i | ||||
\(415\) | −7425.78 | + | 2634.12i | −0.878354 | + | 0.311575i | ||||
\(416\) | 380.248 | − | 1044.72i | 0.0448154 | − | 0.123129i | ||||
\(417\) | −694.732 | − | 2250.53i | −0.0815855 | − | 0.264291i | ||||
\(418\) | −204.212 | − | 2334.15i | −0.0238955 | − | 0.273127i | ||||
\(419\) | −3778.17 | − | 3170.26i | −0.440515 | − | 0.369636i | 0.395387 | − | 0.918514i | \(-0.370610\pi\) |
−0.835902 | + | 0.548879i | \(0.815055\pi\) | |||||||
\(420\) | 267.114 | − | 31.3133i | 0.0310329 | − | 0.00363794i | ||||
\(421\) | 5820.88 | + | 2118.63i | 0.673854 | + | 0.245263i | 0.656206 | − | 0.754582i | \(-0.272160\pi\) |
0.0176476 | + | 0.999844i | \(0.494382\pi\) | |||||||
\(422\) | −2783.08 | + | 745.724i | −0.321039 | + | 0.0860220i | ||||
\(423\) | 2096.35 | + | 5982.71i | 0.240965 | + | 0.687682i | ||||
\(424\) | 9883.73 | − | 5706.37i | 1.13207 | − | 0.653599i | ||||
\(425\) | 189.910 | − | 390.442i | 0.0216753 | − | 0.0445629i | ||||
\(426\) | 1738.27 | − | 12616.4i | 0.197699 | − | 1.43490i | ||||
\(427\) | −1762.31 | + | 3779.28i | −0.199729 | + | 0.428319i | ||||
\(428\) | −78.1579 | − | 111.621i | −0.00882689 | − | 0.0126061i | ||||
\(429\) | 1435.77 | + | 6665.88i | 0.161584 | + | 0.750191i | ||||
\(430\) | −9274.07 | + | 9123.44i | −1.04008 | + | 1.02319i | ||||
\(431\) | − | 1193.09i | − | 0.133339i | −0.997775 | − | 0.0666695i | \(-0.978763\pi\) | ||
0.997775 | − | 0.0666695i | \(-0.0212373\pi\) | |||||||
\(432\) | 7339.28 | + | 3990.58i | 0.817387 | + | 0.444437i | ||||
\(433\) | 2884.65 | + | 2884.65i | 0.320156 | + | 0.320156i | 0.848827 | − | 0.528671i | \(-0.177310\pi\) |
−0.528671 | + | 0.848827i | \(0.677310\pi\) | |||||||
\(434\) | 5614.13 | − | 4710.82i | 0.620938 | − | 0.521029i | ||||
\(435\) | −215.210 | − | 7310.64i | −0.0237207 | − | 0.805789i | ||||
\(436\) | 33.1751 | − | 188.145i | 0.00364403 | − | 0.0206663i | ||||
\(437\) | 2738.86 | + | 1277.15i | 0.299811 | + | 0.139804i | ||||
\(438\) | −4310.25 | + | 541.091i | −0.470209 | + | 0.0590282i | ||||
\(439\) | 12507.5 | − | 2205.41i | 1.35980 | − | 0.239769i | 0.554274 | − | 0.832334i | \(-0.312996\pi\) |
0.805522 | + | 0.592566i | \(0.201885\pi\) | |||||||
\(440\) | 7141.38 | + | 1319.59i | 0.773755 | + | 0.142975i | ||||
\(441\) | 6876.54 | + | 1931.55i | 0.742527 | + | 0.208568i | ||||
\(442\) | 115.740 | + | 431.946i | 0.0124552 | + | 0.0464833i | ||||
\(443\) | −2594.37 | + | 1209.78i | −0.278245 | + | 0.129748i | −0.556732 | − | 0.830692i | \(-0.687945\pi\) |
0.278487 | + | 0.960440i | \(0.410167\pi\) | |||||||
\(444\) | 731.486 | − | 459.844i | 0.0781865 | − | 0.0491514i | ||||
\(445\) | −9261.38 | + | 12998.8i | −0.986588 | + | 1.38473i | ||||
\(446\) | −3146.13 | + | 3749.41i | −0.334021 | + | 0.398071i | ||||
\(447\) | 1092.33 | − | 4790.57i | 0.115582 | − | 0.506905i | ||||
\(448\) | 2024.93 | + | 4342.47i | 0.213547 | + | 0.457952i | ||||
\(449\) | −1290.19 | + | 2234.67i | −0.135608 | + | 0.234879i | −0.925829 | − | 0.377942i | \(-0.876632\pi\) |
0.790222 | + | 0.612821i | \(0.209965\pi\) | |||||||
\(450\) | 1343.77 | + | 9130.50i | 0.140769 | + | 0.956480i | ||||
\(451\) | −1791.79 | − | 3103.48i | −0.187078 | − | 0.324029i | ||||
\(452\) | −283.191 | + | 404.439i | −0.0294694 | + | 0.0420867i | ||||
\(453\) | −856.429 | − | 6822.18i | −0.0888268 | − | 0.707580i | ||||
\(454\) | −4815.47 | − | 13230.4i | −0.497800 | − | 1.36769i | ||||
\(455\) | −4641.33 | − | 444.381i | −0.478218 | − | 0.0457866i | ||||
\(456\) | −2498.54 | − | 2759.83i | −0.256590 | − | 0.283423i | ||||
\(457\) | 1438.02 | − | 16436.6i | 0.147194 | − | 1.68244i | −0.460028 | − | 0.887904i | \(-0.652161\pi\) |
0.607222 | − | 0.794532i | \(-0.292284\pi\) | |||||||
\(458\) | 6004.70 | − | 6004.70i | 0.612623 | − | 0.612623i | ||||
\(459\) | 484.209 | − | 54.8756i | 0.0492395 | − | 0.00558034i | ||||
\(460\) | −372.808 | + | 436.979i | −0.0377875 | + | 0.0442918i | ||||
\(461\) | −5165.06 | − | 6155.48i | −0.521824 | − | 0.621886i | 0.439187 | − | 0.898396i | \(-0.355267\pi\) |
−0.961011 | + | 0.276510i | \(0.910822\pi\) | |||||||
\(462\) | −2947.09 | − | 1902.53i | −0.296777 | − | 0.191588i | ||||
\(463\) | −3078.06 | + | 2155.28i | −0.308962 | + | 0.216337i | −0.717765 | − | 0.696285i | \(-0.754835\pi\) |
0.408804 | + | 0.912622i | \(0.365946\pi\) | |||||||
\(464\) | 7044.37 | − | 2563.94i | 0.704799 | − | 0.256526i | ||||
\(465\) | −11690.4 | − | 13127.4i | −1.16587 | − | 1.30918i | ||||
\(466\) | 32.7622 | + | 185.803i | 0.00325682 | + | 0.0184703i | ||||
\(467\) | −1656.26 | + | 6181.25i | −0.164117 | + | 0.612492i | 0.834034 | + | 0.551713i | \(0.186025\pi\) |
−0.998151 | + | 0.0607799i | \(0.980641\pi\) | |||||||
\(468\) | 503.779 | + | 433.158i | 0.0497590 | + | 0.0427836i | ||||
\(469\) | −696.220 | − | 401.963i | −0.0685469 | − | 0.0395755i | ||||
\(470\) | −6918.09 | − | 1914.54i | −0.678953 | − | 0.187896i | ||||
\(471\) | −3252.28 | + | 122.397i | −0.318168 | + | 0.0119740i | ||||
\(472\) | 6707.20 | − | 586.804i | 0.654076 | − | 0.0572242i | ||||
\(473\) | −11815.3 | + | 1033.70i | −1.14855 | + | 0.100485i | ||||
\(474\) | −3532.17 | + | 6686.70i | −0.342274 | + | 0.647954i | ||||
\(475\) | 729.175 | − | 3773.02i | 0.0704355 | − | 0.364459i | ||||
\(476\) | 13.9255 | + | 8.03992i | 0.00134092 | + | 0.000774179i | ||||
\(477\) | 2139.16 | + | 13048.1i | 0.205336 | + | 1.25247i | ||||
\(478\) | 3350.18 | − | 12503.0i | 0.320573 | − | 1.19639i | ||||
\(479\) | −1239.67 | − | 7030.51i | −0.118250 | − | 0.670631i | −0.985089 | − | 0.172043i | \(-0.944963\pi\) |
0.866839 | − | 0.498588i | \(-0.166148\pi\) | |||||||
\(480\) | 1225.70 | − | 616.091i | 0.116552 | − | 0.0585845i | ||||
\(481\) | −14075.8 | + | 5123.17i | −1.33431 | + | 0.485648i | ||||
\(482\) | −5330.43 | + | 3732.41i | −0.503723 | + | 0.352711i | ||||
\(483\) | 4025.58 | − | 2064.89i | 0.379234 | − | 0.194526i | ||||
\(484\) | −186.166 | − | 221.864i | −0.0174837 | − | 0.0208362i | ||||
\(485\) | −1832.48 | − | 1563.38i | −0.171564 | − | 0.146370i | ||||
\(486\) | −7843.89 | + | 6765.00i | −0.732111 | + | 0.631413i | ||||
\(487\) | −5925.68 | + | 5925.68i | −0.551372 | + | 0.551372i | −0.926837 | − | 0.375464i | \(-0.877483\pi\) |
0.375464 | + | 0.926837i | \(0.377483\pi\) | |||||||
\(488\) | −956.231 | + | 10929.8i | −0.0887020 | + | 1.01387i | ||||
\(489\) | −2893.18 | + | 8987.07i | −0.267554 | + | 0.831103i | ||||
\(490\) | −6237.90 | + | 5147.78i | −0.575101 | + | 0.474598i | ||||
\(491\) | −3809.69 | − | 10467.0i | −0.350161 | − | 0.962059i | −0.982318 | − | 0.187219i | \(-0.940053\pi\) |
0.632158 | − | 0.774840i | \(-0.282170\pi\) | |||||||
\(492\) | −321.782 | − | 135.561i | −0.0294859 | − | 0.0124218i | ||||
\(493\) | 250.817 | − | 358.203i | 0.0229132 | − | 0.0327234i | ||||
\(494\) | 1978.97 | + | 3427.68i | 0.180239 | + | 0.312183i | ||||
\(495\) | −4353.33 | + | 7199.95i | −0.395288 | + | 0.653765i | ||||
\(496\) | 9008.65 | − | 15603.4i | 0.815525 | − | 1.41253i | ||||
\(497\) | 3355.27 | + | 7195.40i | 0.302826 | + | 0.649412i | ||||
\(498\) | 9567.84 | − | 2953.56i | 0.860934 | − | 0.265767i | ||||
\(499\) | −11251.5 | + | 13409.0i | −1.00939 | + | 1.20294i | −0.0302951 | + | 0.999541i | \(0.509645\pi\) |
−0.979095 | + | 0.203403i | \(0.934800\pi\) | |||||||
\(500\) | 654.205 | + | 324.853i | 0.0585139 | + | 0.0290558i | ||||
\(501\) | 719.246 | + | 19111.6i | 0.0641388 | + | 1.70428i | ||||
\(502\) | −9247.06 | + | 4311.97i | −0.822144 | + | 0.383372i | ||||
\(503\) | 3655.57 | + | 13642.8i | 0.324043 | + | 1.20934i | 0.915270 | + | 0.402840i | \(0.131977\pi\) |
−0.591228 | + | 0.806505i | \(0.701356\pi\) | |||||||
\(504\) | −5557.73 | + | 418.913i | −0.491192 | + | 0.0370236i | ||||
\(505\) | −8375.14 | − | 12171.8i | −0.737998 | − | 1.07255i | ||||
\(506\) | 7378.14 | − | 1300.96i | 0.648218 | − | 0.114298i | ||||
\(507\) | −61.8359 | − | 81.5981i | −0.00541663 | − | 0.00714773i | ||||
\(508\) | −550.091 | − | 256.512i | −0.0480440 | − | 0.0224033i | ||||
\(509\) | −68.3879 | + | 387.847i | −0.00595529 | + | 0.0337741i | −0.987641 | − | 0.156736i | \(-0.949903\pi\) |
0.981685 | + | 0.190510i | \(0.0610141\pi\) | |||||||
\(510\) | −261.712 | + | 485.770i | −0.0227231 | + | 0.0421770i | ||||
\(511\) | 2074.49 | − | 1740.70i | 0.179589 | − | 0.150693i | ||||
\(512\) | 8844.32 | + | 8844.32i | 0.763413 | + | 0.763413i | ||||
\(513\) | 4013.91 | − | 1578.35i | 0.345455 | − | 0.135840i | ||||
\(514\) | 20089.9i | 1.72399i | ||||||||
\(515\) | −181.042 | + | 22113.0i | −0.0154906 | + | 1.89207i | ||||
\(516\) | −856.703 | + | 775.593i | −0.0730897 | + | 0.0661697i | ||||
\(517\) | −3753.55 | − | 5360.63i | −0.319306 | − | 0.456016i | ||||
\(518\) | 3256.65 | − | 6983.91i | 0.276233 | − | 0.592385i | ||||
\(519\) | 9342.73 | + | 7258.65i | 0.790174 | + | 0.613910i | ||||
\(520\) | −11875.1 | + | 3077.95i | −1.00146 | + | 0.259572i | ||||
\(521\) | −12754.4 | + | 7363.77i | −1.07252 | + | 0.619218i | −0.928868 | − | 0.370411i | \(-0.879217\pi\) |
−0.143649 | + | 0.989629i | \(0.545884\pi\) | |||||||
\(522\) | −111.850 | + | 9294.22i | −0.00937846 | + | 0.779304i | ||||
\(523\) | 5594.80 | − | 1499.12i | 0.467770 | − | 0.125339i | −0.0172323 | − | 0.999852i | \(-0.505485\pi\) |
0.485002 | + | 0.874513i | \(0.338819\pi\) | |||||||
\(524\) | −400.911 | − | 145.920i | −0.0334234 | − | 0.0121651i | ||||
\(525\) | −3790.84 | − | 4327.64i | −0.315135 | − | 0.359759i | ||||
\(526\) | −1951.40 | − | 1637.42i | −0.161758 | − | 0.135731i | ||||
\(527\) | −91.5997 | − | 1046.99i | −0.00757143 | − | 0.0865419i | ||||
\(528\) | −8408.05 | − | 1917.17i | −0.693018 | − | 0.158019i | ||||
\(529\) | 856.481 | − | 2353.16i | 0.0703937 | − | 0.193405i | ||||
\(530\) | −13516.7 | − | 6438.18i | −1.10779 | − | 0.527654i | ||||
\(531\) | −2109.39 | + | 7509.69i | −0.172391 | + | 0.613734i | ||||
\(532\) | 137.470 | + | 36.8350i | 0.0112032 | + | 0.00300188i | ||||
\(533\) | 4958.69 | + | 3472.11i | 0.402973 | + | 0.282165i | ||||
\(534\) | 12444.7 | − | 16017.7i | 1.00849 | − | 1.29804i | ||||
\(535\) | −1019.36 | + | 2730.89i | −0.0823751 | + | 0.220685i | ||||
\(536\) | −2083.05 | − | 367.299i | −0.167862 | − | 0.0295987i | ||||
\(537\) | 12176.8 | + | 605.078i | 0.978527 | + | 0.0486240i | ||||
\(538\) | 11795.4 | + | 1031.96i | 0.945232 | + | 0.0826971i | ||||
\(539\) | −7373.37 | −0.589227 | ||||||||
\(540\) | 85.6455 | + | 815.315i | 0.00682518 | + | 0.0649733i | ||||
\(541\) | 23685.4 | 1.88228 | 0.941140 | − | 0.338016i | \(-0.109756\pi\) | ||||
0.941140 | + | 0.338016i | \(0.109756\pi\) | |||||||
\(542\) | −17762.7 | − | 1554.04i | −1.40770 | − | 0.123158i | ||||
\(543\) | −7910.49 | + | 12253.7i | −0.625178 | + | 0.968425i | ||||
\(544\) | 80.7740 | + | 14.2426i | 0.00636609 | + | 0.00112251i | ||||
\(545\) | −3717.96 | + | 1696.80i | −0.292220 | + | 0.133363i | ||||
\(546\) | 5870.05 | + | 808.767i | 0.460100 | + | 0.0633920i | ||||
\(547\) | −8229.94 | − | 5762.67i | −0.643303 | − | 0.450446i | 0.205856 | − | 0.978582i | \(-0.434002\pi\) |
−0.849160 | + | 0.528136i | \(0.822891\pi\) | |||||||
\(548\) | 223.681 | + | 59.9352i | 0.0174365 | + | 0.00467209i | ||||
\(549\) | −11454.7 | − | 5510.17i | −0.890480 | − | 0.428358i | ||||
\(550\) | −3884.35 | − | 8699.10i | −0.301144 | − | 0.674420i | ||||
\(551\) | 1323.73 | − | 3636.92i | 0.102346 | − | 0.281194i | ||||
\(552\) | 8094.69 | − | 8727.79i | 0.624154 | − | 0.672970i | ||||
\(553\) | −410.874 | − | 4696.31i | −0.0315952 | − | 0.361135i | ||||
\(554\) | 14393.4 | + | 12077.5i | 1.10382 | + | 0.926215i | ||||
\(555\) | −16973.8 | − | 7314.93i | −1.29819 | − | 0.559462i | ||||
\(556\) | 222.619 | + | 81.0268i | 0.0169805 | + | 0.00618040i | ||||
\(557\) | −4718.73 | + | 1264.38i | −0.358957 | + | 0.0961822i | −0.433790 | − | 0.901014i | \(-0.642824\pi\) |
0.0748335 | + | 0.997196i | \(0.476157\pi\) | |||||||
\(558\) | 14152.7 | + | 17284.8i | 1.07371 | + | 1.31133i | ||||
\(559\) | 17350.6 | − | 10017.4i | 1.31279 | − | 0.757942i | ||||
\(560\) | 2990.14 | − | 5082.52i | 0.225636 | − | 0.383528i | ||||
\(561\) | −465.906 | + | 189.708i | −0.0350634 | + | 0.0142772i | ||||
\(562\) | −2782.71 | + | 5967.55i | −0.208864 | + | 0.447911i | ||||
\(563\) | −12462.0 | − | 17797.7i | −0.932882 | − | 1.33229i | −0.943157 | − | 0.332347i | \(-0.892160\pi\) |
0.0102749 | − | 0.999947i | \(-0.496729\pi\) | |||||||
\(564\) | −606.958 | − | 195.396i | −0.0453148 | − | 0.0145880i | ||||
\(565\) | 10561.4 | + | 86.4675i | 0.786409 | + | 0.00643843i | ||||
\(566\) | 21514.1i | 1.59771i | ||||||||
\(567\) | 1820.86 | − | 6195.13i | 0.134866 | − | 0.458855i | ||||
\(568\) | 14770.6 | + | 14770.6i | 1.09113 | + | 1.09113i | ||||
\(569\) | −6380.18 | + | 5353.61i | −0.470072 | + | 0.394438i | −0.846821 | − | 0.531878i | \(-0.821486\pi\) |
0.376749 | + | 0.926316i | \(0.377042\pi\) | |||||||
\(570\) | −1124.65 | + | 4752.48i | −0.0826428 | + | 0.349227i | ||||
\(571\) | −2435.69 | + | 13813.5i | −0.178512 | + | 1.01239i | 0.755500 | + | 0.655149i | \(0.227394\pi\) |
−0.934012 | + | 0.357242i | \(0.883717\pi\) | |||||||
\(572\) | −621.594 | − | 289.854i | −0.0454373 | − | 0.0211878i | ||||
\(573\) | 3635.54 | − | 8629.74i | 0.265056 | − | 0.629167i | ||||
\(574\) | −3066.83 | + | 540.764i | −0.223008 | + | 0.0393224i | ||||
\(575\) | 12221.5 | + | 1271.20i | 0.886387 | + | 0.0921958i | ||||
\(576\) | −13310.2 | + | 6012.72i | −0.962832 | + | 0.434948i | ||||
\(577\) | −6322.23 | − | 23594.9i | −0.456149 | − | 1.70237i | −0.684689 | − | 0.728836i | \(-0.740062\pi\) |
0.228540 | − | 0.973535i | \(-0.426605\pi\) | |||||||
\(578\) | 12145.9 | − | 5663.71i | 0.874051 | − | 0.407577i | ||||
\(579\) | 10664.3 | + | 5633.31i | 0.765448 | + | 0.404339i | ||||
\(580\) | 599.132 | + | 426.869i | 0.0428924 | + | 0.0305600i | ||||
\(581\) | −4012.42 | + | 4781.81i | −0.286511 | + | 0.341451i | ||||
\(582\) | 2244.49 | + | 2081.68i | 0.159857 | + | 0.148262i | ||||
\(583\) | −5768.45 | − | 12370.5i | −0.409785 | − | 0.878788i | ||||
\(584\) | 3562.54 | − | 6170.51i | 0.252430 | − | 0.437221i | ||||
\(585\) | 1524.73 | − | 14130.5i | 0.107760 | − | 0.998677i | ||||
\(586\) | −7176.15 | − | 12429.5i | −0.505877 | − | 0.876205i | ||||
\(587\) | −9227.00 | + | 13177.5i | −0.648789 | + | 0.926567i | −0.999952 | − | 0.00974738i | \(-0.996897\pi\) |
0.351163 | + | 0.936314i | \(0.385786\pi\) | |||||||
\(588\) | −572.593 | + | 433.917i | −0.0401587 | + | 0.0304327i | ||||
\(589\) | −3181.51 | − | 8741.12i | −0.222567 | − | 0.611497i | ||||
\(590\) | −5621.76 | − | 6812.24i | −0.392278 | − | 0.475348i | ||||
\(591\) | 7690.01 | − | 1656.35i | 0.535236 | − | 0.115285i | ||||
\(592\) | 1651.12 | − | 18872.4i | 0.114630 | − | 1.31022i | ||||
\(593\) | −16215.8 | + | 16215.8i | −1.12294 | + | 1.12294i | −0.131641 | + | 0.991297i | \(0.542025\pi\) |
−0.991297 | + | 0.131641i | \(0.957975\pi\) | |||||||
\(594\) | 5907.04 | − | 8913.00i | 0.408029 | − | 0.615664i | ||||
\(595\) | −27.1731 | − | 342.901i | −0.00187225 | − | 0.0236262i | ||||
\(596\) | 317.678 | + | 378.594i | 0.0218332 | + | 0.0260198i | ||||
\(597\) | 1340.95 | − | 26985.9i | 0.0919289 | − | 1.85001i | ||||
\(598\) | −10366.8 | + | 7258.90i | −0.708912 | + | 0.496386i | ||||
\(599\) | −3300.54 | + | 1201.30i | −0.225136 | + | 0.0819427i | −0.452125 | − | 0.891955i | \(-0.649334\pi\) |
0.226989 | + | 0.973897i | \(0.427112\pi\) | |||||||
\(600\) | −13266.8 | − | 7288.35i | −0.902695 | − | 0.495910i | ||||
\(601\) | 2507.27 | + | 14219.4i | 0.170172 | + | 0.965094i | 0.943570 | + | 0.331173i | \(0.107444\pi\) |
−0.773398 | + | 0.633921i | \(0.781444\pi\) | |||||||
\(602\) | −2667.57 | + | 9955.49i | −0.180601 | + | 0.674013i | ||||
\(603\) | 1250.73 | − | 2107.35i | 0.0844669 | − | 0.142318i | ||||
\(604\) | 598.929 | + | 345.792i | 0.0403478 | + | 0.0232948i | ||||
\(605\) | −1652.47 | + | 5971.12i | −0.111045 | + | 0.401257i | ||||
\(606\) | 9993.36 | + | 15896.7i | 0.669888 | + | 1.06561i | ||||
\(607\) | 6556.98 | − | 573.661i | 0.438451 | − | 0.0383595i | 0.134206 | − | 0.990953i | \(-0.457152\pi\) |
0.304245 | + | 0.952594i | \(0.401596\pi\) | |||||||
\(608\) | 723.182 | − | 63.2702i | 0.0482383 | − | 0.00422030i | ||||
\(609\) | −3083.83 | − | 4905.54i | −0.205194 | − | 0.326408i | ||||
\(610\) | 12523.1 | − | 7094.15i | 0.831222 | − | 0.470875i | ||||
\(611\) | 9573.41 | + | 5527.21i | 0.633876 | + | 0.365969i | ||||
\(612\) | −25.0166 | + | 42.1504i | −0.00165235 | + | 0.00278403i | ||||
\(613\) | 7024.04 | − | 26214.1i | 0.462803 | − | 1.72721i | −0.201268 | − | 0.979536i | \(-0.564506\pi\) |
0.664071 | − | 0.747669i | \(-0.268827\pi\) | |||||||
\(614\) | −1566.99 | − | 8886.82i | −0.102994 | − | 0.584109i | ||||
\(615\) | 1512.93 | + | 7314.56i | 0.0991990 | + | 0.479596i | ||||
\(616\) | 5406.53 | − | 1967.82i | 0.353629 | − | 0.128710i | ||||
\(617\) | 11137.2 | − | 7798.32i | 0.726686 | − | 0.508831i | −0.150722 | − | 0.988576i | \(-0.548160\pi\) |
0.877408 | + | 0.479745i | \(0.159271\pi\) | |||||||
\(618\) | 1394.78 | − | 28069.1i | 0.0907869 | − | 1.82703i | ||||
\(619\) | 4208.23 | + | 5015.17i | 0.273252 | + | 0.325649i | 0.885166 | − | 0.465275i | \(-0.154045\pi\) |
−0.611914 | + | 0.790924i | \(0.709600\pi\) | |||||||
\(620\) | 1762.56 | − | 139.673i | 0.114171 | − | 0.00904745i | ||||
\(621\) | 6146.16 | + | 12345.8i | 0.397161 | + | 0.797775i | ||||
\(622\) | −9883.18 | + | 9883.18i | −0.637105 | + | 0.637105i | ||||
\(623\) | −1102.06 | + | 12596.7i | −0.0708720 | + | 0.810071i | ||||
\(624\) | 14240.9 | − | 3067.36i | 0.913611 | − | 0.196783i | ||||
\(625\) | −2207.98 | − | 15468.2i | −0.141311 | − | 0.989965i | ||||
\(626\) | −3626.76 | − | 9964.44i | −0.231557 | − | 0.636197i | ||||
\(627\) | −3548.56 | + | 2689.14i | −0.226022 | + | 0.171282i | ||||
\(628\) | 187.764 | − | 268.155i | 0.0119309 | − | 0.0170391i | ||||
\(629\) | −552.538 | − | 957.023i | −0.0350256 | − | 0.0606662i | ||||
\(630\) | 4585.55 | + | 5694.84i | 0.289988 | + | 0.360139i | ||||
\(631\) | −873.774 | + | 1513.42i | −0.0551258 | + | 0.0954807i | −0.892271 | − | 0.451499i | \(-0.850889\pi\) |
0.837146 | + | 0.546980i | \(0.184223\pi\) | |||||||
\(632\) | −5241.96 | − | 11241.4i | −0.329927 | − | 0.707531i | ||||
\(633\) | 4014.32 | + | 3723.13i | 0.252061 | + | 0.233777i | ||||
\(634\) | 15535.7 | − | 18514.7i | 0.973189 | − | 1.15980i | ||||
\(635\) | 2149.88 | + | 12804.7i | 0.134355 | + | 0.800218i | ||||
\(636\) | −1175.95 | − | 621.184i | −0.0733170 | − | 0.0387288i | ||||
\(637\) | 11288.2 | − | 5263.79i | 0.702129 | − | 0.327408i | ||||
\(638\) | −2483.40 | − | 9268.16i | −0.154104 | − | 0.575125i | ||||
\(639\) | −22054.8 | + | 9962.98i | −1.36537 | + | 0.616791i | ||||
\(640\) | 2621.21 | − | 14185.5i | 0.161894 | − | 0.876142i | ||||
\(641\) | −4415.02 | + | 778.487i | −0.272048 | + | 0.0479694i | −0.308008 | − | 0.951384i | \(-0.599662\pi\) |
0.0359597 | + | 0.999353i | \(0.488551\pi\) | |||||||
\(642\) | 1438.22 | − | 3413.92i | 0.0884143 | − | 0.209870i | ||||
\(643\) | 14046.0 | + | 6549.74i | 0.861459 | + | 0.401705i | 0.802569 | − | 0.596559i | \(-0.203466\pi\) |
0.0588904 | + | 0.998264i | \(0.481244\pi\) | |||||||
\(644\) | −79.0215 | + | 448.153i | −0.00483522 | + | 0.0274219i | ||||
\(645\) | 24056.6 | + | 5692.87i | 1.46857 | + | 0.347529i | ||||
\(646\) | −223.680 | + | 187.690i | −0.0136232 | + | 0.0114312i | ||||
\(647\) | 59.1666 | + | 59.1666i | 0.00359518 | + | 0.00359518i | 0.708902 | − | 0.705307i | \(-0.249191\pi\) |
−0.705307 | + | 0.708902i | \(0.749191\pi\) | |||||||
\(648\) | −1072.99 | − | 16955.4i | −0.0650479 | − | 1.02789i | ||||
\(649\) | − | 8052.26i | − | 0.487024i | ||||||
\(650\) | 12157.0 | + | 10544.9i | 0.733592 | + | 0.636313i | ||||
\(651\) | −13256.3 | − | 4267.57i | −0.798091 | − | 0.256927i | ||||
\(652\) | −544.689 | − | 777.896i | −0.0327173 | − | 0.0467251i | ||||
\(653\) | 2291.25 | − | 4913.61i | 0.137310 | − | 0.294463i | −0.825614 | − | 0.564236i | \(-0.809171\pi\) |
0.962924 | + | 0.269773i | \(0.0869486\pi\) | |||||||
\(654\) | 4810.37 | − | 1958.69i | 0.287615 | − | 0.117112i | ||||
\(655\) | 2289.89 | + | 8834.67i | 0.136600 | + | 0.527021i | ||||
\(656\) | −6630.24 | + | 3827.97i | −0.394615 | + | 0.227831i | ||||
\(657\) | 5229.59 | + | 6386.92i | 0.310542 | + | 0.379266i | ||||
\(658\) | −5493.07 | + | 1471.86i | −0.325444 | + | 0.0872025i | ||||
\(659\) | 8567.18 | + | 3118.20i | 0.506419 | + | 0.184321i | 0.582579 | − | 0.812774i | \(-0.302044\pi\) |
−0.0761600 | + | 0.997096i | \(0.524266\pi\) | |||||||
\(660\) | −312.720 | − | 786.382i | −0.0184433 | − | 0.0463786i | ||||
\(661\) | −23453.6 | − | 19679.9i | −1.38009 | − | 1.15803i | −0.969179 | − | 0.246357i | \(-0.920767\pi\) |
−0.410910 | − | 0.911676i | \(-0.634789\pi\) | |||||||
\(662\) | −1187.79 | − | 13576.5i | −0.0697352 | − | 0.797077i | ||||
\(663\) | 577.846 | − | 623.040i | 0.0338487 | − | 0.0364960i | ||||
\(664\) | −5617.25 | + | 15433.3i | −0.328300 | + | 0.901998i | ||||
\(665\) | −1017.81 | − | 2869.30i | −0.0593521 | − | 0.167318i | ||||
\(666\) | 21167.6 | + | 10182.5i | 1.23157 | + | 0.592438i | ||||
\(667\) | 11953.7 | + | 3202.98i | 0.693926 | + | 0.185937i | ||||
\(668\) | −1575.77 | − | 1103.37i | −0.0912703 | − | 0.0639082i | ||||
\(669\) | 9213.69 | + | 1269.45i | 0.532469 | + | 0.0733629i | ||||
\(670\) | 1152.05 | + | 2524.33i | 0.0664291 | + | 0.145557i | ||||
\(671\) | 12922.3 | + | 2278.55i | 0.743457 | + | 0.131091i | ||||
\(672\) | 589.454 | − | 913.087i | 0.0338373 | − | 0.0524153i | ||||
\(673\) | −19158.0 | − | 1676.11i | −1.09731 | − | 0.0960019i | −0.475907 | − | 0.879496i | \(-0.657880\pi\) |
−0.621399 | + | 0.783494i | \(0.713436\pi\) | |||||||
\(674\) | 12377.6 | 0.707369 | ||||||||
\(675\) | 13329.8 | − | 11395.8i | 0.760093 | − | 0.649814i | ||||
\(676\) | 10.2979 | 0.000585904 | ||||||||
\(677\) | −4594.37 | − | 401.956i | −0.260821 | − | 0.0228189i | −0.0440050 | − | 0.999031i | \(-0.514012\pi\) |
−0.216816 | + | 0.976212i | \(0.569567\pi\) | |||||||
\(678\) | −13406.0 | − | 666.160i | −0.759375 | − | 0.0377341i | ||||
\(679\) | −1879.34 | − | 331.379i | −0.106219 | − | 0.0187292i | ||||
\(680\) | −375.753 | − | 823.337i | −0.0211904 | − | 0.0464317i | ||||
\(681\) | −16414.5 | + | 21127.3i | −0.923646 | + | 1.18884i | ||||
\(682\) | −18890.7 | − | 13227.4i | −1.06065 | − | 0.742673i | ||||
\(683\) | −5574.96 | − | 1493.81i | −0.312328 | − | 0.0836881i | 0.0992501 | − | 0.995063i | \(-0.468356\pi\) |
−0.411578 | + | 0.911374i | \(0.635022\pi\) | |||||||
\(684\) | −117.316 | + | 417.660i | −0.00655804 | + | 0.0233474i | ||||
\(685\) | −1656.11 | − | 4668.71i | −0.0923749 | − | 0.260412i | ||||
\(686\) | −5032.90 | + | 13827.8i | −0.280112 | + | 0.769602i | ||||
\(687\) | −15732.9 | − | 3587.34i | −0.873722 | − | 0.199222i | ||||
\(688\) | 2208.39 | + | 25242.0i | 0.122375 | + | 1.39875i | ||||
\(689\) | 17662.4 | + | 14820.5i | 0.976609 | + | 0.819472i | ||||
\(690\) | −15451.6 | − | 2257.96i | −0.852513 | − | 0.124578i | ||||
\(691\) | 2404.74 | + | 875.255i | 0.132389 | + | 0.0481856i | 0.407365 | − | 0.913265i | \(-0.366448\pi\) |
−0.274976 | + | 0.961451i | \(0.588670\pi\) | |||||||
\(692\) | −1149.46 | + | 307.997i | −0.0631445 | + | 0.0169195i | ||||
\(693\) | −80.2124 | + | 6665.26i | −0.00439685 | + | 0.365357i | ||||
\(694\) | −25312.2 | + | 14614.0i | −1.38449 | + | 0.799338i | ||||
\(695\) | −1271.54 | − | 4905.75i | −0.0693988 | − | 0.267749i | ||||
\(696\) | −12038.9 | − | 9353.37i | −0.655650 | − | 0.509395i | ||||
\(697\) | −188.736 | + | 404.746i | −0.0102567 | + | 0.0219955i | ||||
\(698\) | −12525.8 | − | 17888.6i | −0.679236 | − | 0.970050i | ||||
\(699\) | 265.779 | − | 240.616i | 0.0143815 | − | 0.0130199i | ||||
\(700\) | 577.220 | − | 40.9893i | 0.0311669 | − | 0.00221321i | ||||
\(701\) | 7344.65i | 0.395726i | 0.980230 | + | 0.197863i | \(0.0634000\pi\) | ||||
−0.980230 | + | 0.197863i | \(0.936600\pi\) | |||||||
\(702\) | −2680.45 | + | 17862.3i | −0.144113 | + | 0.960356i | ||||
\(703\) | −6916.08 | − | 6916.08i | −0.371045 | − | 0.371045i | ||||
\(704\) | 11549.7 | − | 9691.32i | 0.618316 | − | 0.518829i | ||||
\(705\) | 3916.49 | + | 13065.8i | 0.209225 | + | 0.697994i | ||||
\(706\) | 1291.46 | − | 7324.26i | 0.0688455 | − | 0.390442i | ||||
\(707\) | −10608.6 | − | 4946.88i | −0.564326 | − | 0.263150i | ||||
\(708\) | −473.869 | − | 625.313i | −0.0251541 | − | 0.0331931i | ||||
\(709\) | 32449.8 | − | 5721.77i | 1.71887 | − | 0.303083i | 0.774647 | − | 0.632394i | \(-0.217928\pi\) |
0.944221 | + | 0.329311i | \(0.106817\pi\) | |||||||
\(710\) | 4979.20 | − | 26946.5i | 0.263192 | − | 1.42434i | ||||
\(711\) | 14329.5 | − | 1080.08i | 0.755834 | − | 0.0569709i | ||||
\(712\) | 8610.74 | + | 32135.7i | 0.453232 | + | 1.69148i | ||||
\(713\) | 26956.7 | − | 12570.1i | 1.41590 | − | 0.660245i | ||||
\(714\) | 16.4401 | + | 436.840i | 0.000861700 | + | 0.0228968i | ||||
\(715\) | 2429.33 | + | 14469.1i | 0.127065 | + | 0.756802i | ||||
\(716\) | −788.249 | + | 939.398i | −0.0411428 | + | 0.0490321i | ||||
\(717\) | −23502.5 | + | 7255.14i | −1.22415 | + | 0.377891i | ||||
\(718\) | 15597.2 | + | 33448.4i | 0.810701 | + | 1.73855i | ||||
\(719\) | −15623.8 | + | 27061.2i | −0.810388 | + | 1.40363i | 0.102205 | + | 0.994763i | \(0.467410\pi\) |
−0.912593 | + | 0.408869i | \(0.865923\pi\) | |||||||
\(720\) | 15381.9 | + | 9300.42i | 0.796180 | + | 0.481397i | ||||
\(721\) | 8759.78 | + | 15172.4i | 0.452471 | + | 0.783702i | ||||
\(722\) | 9275.52 | − | 13246.8i | 0.478115 | − | 0.682819i | ||||
\(723\) | 11395.4 | + | 4800.66i | 0.586168 | + | 0.246941i | ||||
\(724\) | −501.753 | − | 1378.55i | −0.0257562 | − | 0.0707646i | ||||
\(725\) | 257.661 | − | 15734.7i | 0.0131990 | − | 0.806030i | ||||
\(726\) | 2412.82 | − | 7494.93i | 0.123344 | − | 0.383145i | ||||
\(727\) | −536.424 | + | 6131.35i | −0.0273657 | + | 0.312791i | 0.970159 | + | 0.242471i | \(0.0779578\pi\) |
−0.997524 | + | 0.0703207i | \(0.977598\pi\) | |||||||
\(728\) | −6872.31 | + | 6872.31i | −0.349869 | + | 0.349869i | ||||
\(729\) | 18816.1 | + | 5777.24i | 0.955955 | + | 0.293514i | ||||
\(730\) | −9317.75 | + | 738.383i | −0.472419 | + | 0.0374367i | ||||
\(731\) | 950.070 | + | 1132.25i | 0.0480706 | + | 0.0572883i | ||||
\(732\) | 1137.60 | − | 583.522i | 0.0574409 | − | 0.0294639i | ||||
\(733\) | 13887.9 | − | 9724.43i | 0.699812 | − | 0.490014i | −0.168709 | − | 0.985666i | \(-0.553960\pi\) |
0.868521 | + | 0.495652i | \(0.165071\pi\) | |||||||
\(734\) | −28069.4 | + | 10216.4i | −1.41153 | + | 0.513753i | ||||
\(735\) | 14590.1 | + | 4829.14i | 0.732198 | + | 0.242347i | ||||
\(736\) | 403.073 | + | 2285.94i | 0.0201868 | + | 0.114485i | ||||
\(737\) | −654.736 | + | 2443.51i | −0.0327239 | + | 0.122127i | ||||
\(738\) | −1535.76 | − | 9367.56i | −0.0766019 | − | 0.467242i | ||||
\(739\) | −26480.5 | − | 15288.5i | −1.31813 | − | 0.761025i | −0.334706 | − | 0.942322i | \(-0.608637\pi\) |
−0.983428 | + | 0.181297i | \(0.941970\pi\) | |||||||
\(740\) | 1617.56 | − | 916.324i | 0.0803550 | − | 0.0455199i | ||||
\(741\) | 3512.90 | − | 6650.22i | 0.174156 | − | 0.329692i | ||||
\(742\) | −11816.1 | + | 1033.78i | −0.584614 | + | 0.0511471i | ||||
\(743\) | 13112.9 | − | 1147.23i | 0.647462 | − | 0.0566456i | 0.241306 | − | 0.970449i | \(-0.422424\pi\) |
0.406156 | + | 0.913804i | \(0.366869\pi\) | |||||||
\(744\) | −36615.3 | + | 1377.98i | −1.80428 | + | 0.0679023i | ||||
\(745\) | 2819.81 | − | 10189.2i | 0.138671 | − | 0.501081i | ||||
\(746\) | 13536.0 | + | 7815.02i | 0.664328 | + | 0.383550i | ||||
\(747\) | −14427.9 | − | 12405.3i | −0.706677 | − | 0.607613i | ||||
\(748\) | 13.0958 | − | 48.8742i | 0.000640147 | − | 0.00238906i | ||||
\(749\) | 401.014 | + | 2274.26i | 0.0195631 | + | 0.110948i | ||||
\(750\) | 1988.79 | + | 19757.5i | 0.0968269 | + | 0.961922i | ||||
\(751\) | −23652.1 | + | 8608.67i | −1.14924 | + | 0.418289i | −0.845242 | − | 0.534384i | \(-0.820544\pi\) |
−0.303997 | + | 0.952673i | \(0.598321\pi\) | |||||||
\(752\) | −11452.4 | + | 8019.06i | −0.555354 | + | 0.388863i | ||||
\(753\) | 16288.8 | + | 10515.4i | 0.788310 | + | 0.508903i | ||||
\(754\) | 10418.4 | + | 12416.2i | 0.503205 | + | 0.599696i | ||||
\(755\) | −1168.70 | − | 14748.0i | −0.0563355 | − | 0.710905i | ||||
\(756\) | 386.016 | + | 522.323i | 0.0185705 | + | 0.0251279i | ||||
\(757\) | 15199.8 | − | 15199.8i | 0.729785 | − | 0.729785i | −0.240792 | − | 0.970577i | \(-0.577407\pi\) |
0.970577 | + | 0.240792i | \(0.0774072\pi\) | |||||||
\(758\) | 2636.44 | − | 30134.6i | 0.126332 | − | 1.44398i | ||||
\(759\) | −9554.71 | − | 10553.9i | −0.456935 | − | 0.504721i | ||||
\(760\) | −5098.47 | − | 6178.14i | −0.243343 | − | 0.294875i | ||||
\(761\) | 1246.60 | + | 3425.02i | 0.0593816 | + | 0.163150i | 0.965836 | − | 0.259154i | \(-0.0834438\pi\) |
−0.906454 | + | 0.422304i | \(0.861222\pi\) | |||||||
\(762\) | −2055.32 | − | 16372.4i | −0.0977118 | − | 0.778357i | ||||
\(763\) | −1857.12 | + | 2652.25i | −0.0881158 | + | 0.125842i | ||||
\(764\) | 470.945 | + | 815.701i | 0.0223013 | + | 0.0386270i | ||||
\(765\) | 1046.17 | − | 70.2462i | 0.0494434 | − | 0.00331994i | ||||
\(766\) | −17452.4 | + | 30228.4i | −0.823212 | + | 1.42584i | ||||
\(767\) | 5748.45 | + | 12327.6i | 0.270618 | + | 0.580343i | ||||
\(768\) | 923.298 | − | 4049.27i | 0.0433810 | − | 0.190255i | ||||
\(769\) | 22243.9 | − | 26509.2i | 1.04309 | − | 1.24310i | 0.0737746 | − | 0.997275i | \(-0.476495\pi\) |
0.969313 | − | 0.245829i | \(-0.0790601\pi\) | |||||||
\(770\) | −6147.05 | − | 4379.65i | −0.287694 | − | 0.204976i | ||||
\(771\) | 32319.9 | − | 20317.7i | 1.50969 | − | 0.949058i | ||||
\(772\) | −1099.45 | + | 512.684i | −0.0512567 | + | 0.0239014i | ||||
\(773\) | −9178.25 | − | 34253.7i | −0.427062 | − | 1.59382i | −0.759379 | − | 0.650648i | \(-0.774497\pi\) |
0.332318 | − | 0.943167i | \(-0.392169\pi\) | |||||||
\(774\) | −30246.6 | − | 8495.96i | −1.40464 | − | 0.394549i | ||||
\(775\) | −23834.1 | − | 29367.8i | −1.10471 | − | 1.36119i | ||||
\(776\) | −4944.69 | + | 871.882i | −0.228742 | + | 0.0403334i | ||||
\(777\) | −14529.0 | + | 1823.91i | −0.670816 | + | 0.0842116i | ||||
\(778\) | −9278.22 | − | 4326.50i | −0.427558 | − | 0.199374i | ||||
\(779\) | −686.373 | + | 3892.61i | −0.0315685 | + | 0.179034i | ||||
\(780\) | 1040.15 | + | 980.661i | 0.0477478 | + | 0.0450170i | ||||
\(781\) | 19137.6 | − | 16058.3i | 0.876821 | − | 0.735740i | ||||
\(782\) | −660.190 | − | 660.190i | −0.0301897 | − | 0.0301897i | ||||
\(783\) | 15065.3 | − | 9219.63i | 0.687597 | − | 0.420795i | ||||
\(784\) | 15752.4i | 0.717584i | ||||||||
\(785\) | −7002.51 | − | 57.3305i | −0.318383 | − | 0.00260664i | ||||
\(786\) | −2442.24 | − | 11338.7i | −0.110829 | − | 0.514552i | ||||
\(787\) | 19833.8 | + | 28325.6i | 0.898346 | + | 1.28297i | 0.958591 | + | 0.284788i | \(0.0919232\pi\) |
−0.0602441 | + | 0.998184i | \(0.519188\pi\) | |||||||
\(788\) | −334.386 | + | 717.094i | −0.0151168 | + | 0.0324180i | ||||
\(789\) | −660.690 | + | 4795.30i | −0.0298114 | + | 0.216372i | ||||
\(790\) | −8250.81 | + | 14024.4i | −0.371583 | + | 0.631603i | ||||
\(791\) | 7246.47 | − | 4183.75i | 0.325733 | − | 0.188062i | ||||
\(792\) | 5799.62 | + | 16551.4i | 0.260203 | + | 0.742585i | ||||
\(793\) | −21410.0 | + | 5736.79i | −0.958752 | + | 0.256897i | ||||
\(794\) | −4164.12 | − | 1515.61i | −0.186120 | − | 0.0677420i | ||||
\(795\) | 3312.44 | + | 28256.3i | 0.147774 | + | 1.26056i | ||||
\(796\) | 2081.86 | + | 1746.89i | 0.0927005 | + | 0.0777850i | ||||
\(797\) | −232.229 | − | 2654.39i | −0.0103212 | − | 0.117971i | 0.989286 | − | 0.145989i | \(-0.0466363\pi\) |
−0.999607 | + | 0.0280171i | \(0.991081\pi\) | |||||||
\(798\) | 1141.24 | + | 3696.98i | 0.0506261 | + | 0.164000i | ||||
\(799\) | −278.928 | + | 766.348i | −0.0123501 | + | 0.0339317i | ||||
\(800\) | 2695.21 | − | 1203.47i | 0.119113 | − | 0.0531865i | ||||
\(801\) | −38354.4 | − | 3821.17i | −1.69187 | − | 0.168557i | ||||
\(802\) | 38884.3 | + | 10419.0i | 1.71203 | + | 0.458738i | ||||
\(803\) | −6980.32 | − | 4887.68i | −0.306763 | − | 0.214797i | ||||
\(804\) | 92.9539 | + | 228.286i | 0.00407740 | + | 0.0100137i | ||||
\(805\) | 8856.01 | − | 4041.69i | 0.387743 | − | 0.176958i | ||||
\(806\) | 38363.5 | + | 6764.53i | 1.67655 | + | 0.295621i | ||||
\(807\) | −10268.9 | − | 20019.6i | −0.447934 | − | 0.873262i | ||||
\(808\) | −30680.4 | − | 2684.19i | −1.33581 | − | 0.116868i | ||||
\(809\) | −27495.7 | −1.19493 | −0.597465 | − | 0.801895i | \(-0.703825\pi\) | ||||
−0.597465 | + | 0.801895i | \(0.703825\pi\) | |||||||
\(810\) | −17526.1 | + | 13767.9i | −0.760254 | + | 0.597229i | ||||
\(811\) | −22390.9 | −0.969485 | −0.484742 | − | 0.874657i | \(-0.661087\pi\) | ||||
−0.484742 | + | 0.874657i | \(0.661087\pi\) | |||||||
\(812\) | 580.596 | + | 50.7956i | 0.0250923 | + | 0.00219529i | ||||
\(813\) | 15464.0 | + | 30147.6i | 0.667092 | + | 1.30052i | ||||
\(814\) | −23879.7 | − | 4210.63i | −1.02823 | − | 0.181305i | ||||
\(815\) | −7103.99 | + | 19031.8i | −0.305327 | + | 0.817981i | ||||
\(816\) | 405.291 | + | 995.357i | 0.0173873 | + | 0.0427016i | ||||
\(817\) | 10716.1 | + | 7503.48i | 0.458884 | + | 0.321314i | ||||
\(818\) | 1872.99 | + | 501.867i | 0.0800584 | + | 0.0214516i | ||||
\(819\) | −4635.48 | − | 10261.4i | −0.197774 | − | 0.437806i | ||||
\(820\) | −678.283 | − | 323.075i | −0.0288862 | − | 0.0137589i | ||||
\(821\) | 14250.2 | − | 39152.2i | 0.605769 | − | 1.66434i | −0.133600 | − | 0.991035i | \(-0.542654\pi\) |
0.739369 | − | 0.673300i | \(-0.235124\pi\) | |||||||
\(822\) | 1856.95 | + | 6015.46i | 0.0787938 | + | 0.255247i | ||||
\(823\) | −864.962 | − | 9886.56i | −0.0366351 | − | 0.418741i | −0.992262 | − | 0.124161i | \(-0.960376\pi\) |
0.955627 | − | 0.294580i | \(-0.0951796\pi\) | |||||||
\(824\) | 35311.0 | + | 29629.5i | 1.49286 | + | 1.25266i | ||||
\(825\) | −10066.4 | + | 15046.7i | −0.424808 | + | 0.634980i | ||||
\(826\) | −6575.42 | − | 2393.26i | −0.276983 | − | 0.100814i | ||||
\(827\) | 18114.0 | − | 4853.64i | 0.761652 | − | 0.204084i | 0.142971 | − | 0.989727i | \(-0.454334\pi\) |
0.618680 | + | 0.785643i | \(0.287668\pi\) | |||||||
\(828\) | −1363.08 | − | 257.297i | −0.0572105 | − | 0.0107992i | ||||
\(829\) | −9977.22 | + | 5760.35i | −0.418001 | + | 0.241333i | −0.694222 | − | 0.719761i | \(-0.744251\pi\) |
0.276221 | + | 0.961094i | \(0.410918\pi\) | |||||||
\(830\) | 20856.1 | − | 5405.77i | 0.872200 | − | 0.226069i | ||||
\(831\) | 4873.21 | − | 35369.9i | 0.203429 | − | 1.47649i | ||||
\(832\) | −10763.4 | + | 23082.1i | −0.448501 | + | 0.961813i | ||||
\(833\) | 527.043 | + | 752.696i | 0.0219219 | + | 0.0313078i | ||||
\(834\) | 1356.14 | + | 6296.19i | 0.0563060 | + | 0.261414i | ||||
\(835\) | −336.895 | + | 41149.3i | −0.0139625 | + | 1.70542i | ||||
\(836\) | − | 447.836i | − | 0.0185272i | ||||||
\(837\) | 13493.9 | − | 40249.0i | 0.557248 | − | 1.66214i | ||||
\(838\) | 9536.44 | + | 9536.44i | 0.393116 | + | 0.393116i | ||||
\(839\) | −7281.47 | + | 6109.88i | −0.299624 | + | 0.251414i | −0.780188 | − | 0.625546i | \(-0.784876\pi\) |
0.480564 | + | 0.876960i | \(0.340432\pi\) | |||||||
\(840\) | −11987.1 | + | 352.873i | −0.492372 | + | 0.0144944i | ||||
\(841\) | −1482.89 | + | 8409.86i | −0.0608014 | + | 0.344822i | ||||
\(842\) | −15351.6 | − | 7158.55i | −0.628325 | − | 0.292993i | ||||
\(843\) | 12414.6 | − | 1558.48i | 0.507214 | − | 0.0636737i | ||||
\(844\) | −542.335 | + | 95.6283i | −0.0221184 | + | 0.00390007i | ||||
\(845\) | −124.871 | − | 181.479i | −0.00508367 | − | 0.00738825i | ||||
\(846\) | −4284.77 | − | 16796.9i | −0.174129 | − | 0.682613i | ||||
\(847\) | 1270.39 | + | 4741.15i | 0.0515361 | + | 0.192335i | ||||
\(848\) | −26428.2 | + | 12323.7i | −1.07022 | + | 0.499053i | ||||
\(849\) | 34611.0 | − | 21758.0i | 1.39911 | − | 0.879543i | ||||
\(850\) | −610.380 | + | 1018.33i | −0.0246304 | + | 0.0410923i | ||||
\(851\) | 20102.6 | − | 23957.4i | 0.809764 | − | 0.965039i | ||||
\(852\) | 541.144 | − | 2373.27i | 0.0217597 | − | 0.0954308i | ||||
\(853\) | 11585.0 | + | 24844.1i | 0.465021 | + | 0.997240i | 0.989327 | + | 0.145710i | \(0.0465468\pi\) |
−0.524307 | + | 0.851530i | \(0.675675\pi\) | |||||||
\(854\) | 5701.35 | − | 9875.03i | 0.228450 | − | 0.395687i | ||||
\(855\) | 8782.99 | − | 2997.06i | 0.351312 | − | 0.119880i | ||||
\(856\) | 3038.03 | + | 5262.03i | 0.121306 | + | 0.210108i | ||||
\(857\) | −15213.8 | + | 21727.6i | −0.606410 | + | 0.866043i | −0.998548 | − | 0.0538631i | \(-0.982847\pi\) |
0.392138 | + | 0.919906i | \(0.371735\pi\) | |||||||
\(858\) | −2322.48 | − | 18500.5i | −0.0924105 | − | 0.736127i | ||||
\(859\) | −3449.24 | − | 9476.72i | −0.137004 | − | 0.376416i | 0.852150 | − | 0.523298i | \(-0.175298\pi\) |
−0.989154 | + | 0.146882i | \(0.953076\pi\) | |||||||
\(860\) | −1917.81 | + | 1582.66i | −0.0760427 | + | 0.0627537i | ||||
\(861\) | 3971.55 | + | 4386.89i | 0.157201 | + | 0.173641i | ||||
\(862\) | −284.343 | + | 3250.06i | −0.0112352 | + | 0.128419i | ||||
\(863\) | 9781.31 | − | 9781.31i | 0.385816 | − | 0.385816i | −0.487376 | − | 0.873192i | \(-0.662046\pi\) |
0.873192 | + | 0.487376i | \(0.162046\pi\) | |||||||
\(864\) | 2761.48 | + | 1830.16i | 0.108735 | + | 0.0720639i | ||||
\(865\) | 19366.2 | + | 16522.2i | 0.761236 | + | 0.649447i | ||||
\(866\) | −7170.50 | − | 8545.47i | −0.281367 | − | 0.335320i | ||||
\(867\) | −21395.1 | − | 13811.9i | −0.838080 | − | 0.541033i | ||||
\(868\) | 1147.43 | − | 803.441i | 0.0448691 | − | 0.0314177i | ||||
\(869\) | −13939.7 | + | 5073.62i | −0.544155 | + | 0.198056i | ||||
\(870\) | −1156.06 | + | 19966.0i | −0.0450508 | + | 0.778057i | ||||
\(871\) | −742.036 | − | 4208.29i | −0.0288667 | − | 0.163711i | ||||
\(872\) | −2204.85 | + | 8228.60i | −0.0856256 | + | 0.319559i | ||||
\(873\) | 1078.98 | − | 5716.11i | 0.0418305 | − | 0.221605i | ||||
\(874\) | −7156.46 | − | 4131.78i | −0.276969 | − | 0.159908i | ||||
\(875\) | −7721.69 | − | 9675.30i | −0.298332 | − | 0.373811i | ||||
\(876\) | −829.706 | + | 31.2252i | −0.0320013 | + | 0.00120434i | ||||
\(877\) | −2376.70 | + | 207.934i | −0.0915113 | + | 0.00800620i | −0.132819 | − | 0.991140i | \(-0.542403\pi\) |
0.0413081 | + | 0.999146i | \(0.486847\pi\) | |||||||
\(878\) | −34596.9 | + | 3026.84i | −1.32983 | + | 0.116345i | ||||
\(879\) | −12738.5 | + | 24115.0i | −0.488804 | + | 0.925347i | ||||
\(880\) | −17883.4 | − | 4949.11i | −0.685056 | − | 0.189585i | ||||
\(881\) | −11170.5 | − | 6449.29i | −0.427178 | − | 0.246631i | 0.270966 | − | 0.962589i | \(-0.412657\pi\) |
−0.698144 | + | 0.715958i | \(0.745990\pi\) | |||||||
\(882\) | −18271.8 | − | 6900.52i | −0.697556 | − | 0.263438i | ||||
\(883\) | −8369.97 | + | 31237.1i | −0.318994 | + | 1.19050i | 0.601219 | + | 0.799084i | \(0.294682\pi\) |
−0.920213 | + | 0.391418i | \(0.871985\pi\) | |||||||
\(884\) | 14.8419 | + | 84.1728i | 0.000564692 | + | 0.00320253i | ||||
\(885\) | −5273.77 | + | 15933.5i | −0.200312 | + | 0.605197i | ||||
\(886\) | 7355.57 | − | 2677.21i | 0.278911 | − | 0.101515i | ||||
\(887\) | 36957.3 | − | 25877.8i | 1.39899 | − | 0.979585i | 0.401011 | − | 0.916073i | \(-0.368659\pi\) |
0.997981 | − | 0.0635116i | \(-0.0202300\pi\) | |||||||
\(888\) | −34280.2 | + | 17583.8i | −1.29546 | + | 0.664497i | ||||
\(889\) | 6612.01 | + | 7879.89i | 0.249448 | + | 0.297281i | ||||
\(890\) | 28326.6 | − | 33202.5i | 1.06686 | − | 1.25050i | ||||
\(891\) | −20312.9 | − | 488.977i | −0.763756 | − | 0.0183854i | ||||
\(892\) | −661.497 | + | 661.497i | −0.0248302 | + | 0.0248302i | ||||
\(893\) | −629.100 | + | 7190.65i | −0.0235745 | + | 0.269458i | ||||
\(894\) | −4117.29 | + | 12789.5i | −0.154030 | + | 0.478463i | ||||
\(895\) | 26113.3 | + | 2500.20i | 0.975274 | + | 0.0933770i | ||||
\(896\) | −3908.83 | − | 10739.4i | −0.145742 | − | 0.400423i | ||||
\(897\) | 22162.1 | + | 9336.47i | 0.824941 | + | 0.347531i | ||||
\(898\) | 4047.15 | − | 5779.92i | 0.150395 | − | 0.214787i | ||||
\(899\) | −19046.5 | − | 32989.6i | −0.706605 | − | 1.22388i | ||||
\(900\) | 103.763 | + | 1760.88i | 0.00384307 | + | 0.0652177i | ||||
\(901\) | −850.492 | + | 1473.09i | −0.0314473 | + | 0.0544683i | ||||
\(902\) | 4141.33 | + | 8881.11i | 0.152873 | + | 0.327837i | ||||
\(903\) | 18713.8 | − | 5776.87i | 0.689652 | − | 0.212893i | ||||
\(904\) | 14151.3 | − | 16864.9i | 0.520647 | − | 0.620483i | ||||
\(905\) | −18210.0 | + | 25558.7i | −0.668864 | + | 0.938784i | ||||
\(906\) | 707.076 | + | 18788.2i | 0.0259283 | + | 0.688958i | ||||
\(907\) | −12184.4 | + | 5681.70i | −0.446062 | + | 0.208002i | −0.632653 | − | 0.774436i | \(-0.718034\pi\) |
0.186591 | + | 0.982438i | \(0.440256\pi\) | |||||||
\(908\) | −696.494 | − | 2599.35i | −0.0254559 | − | 0.0950027i | ||||
\(909\) | 15467.3 | − | 32153.8i | 0.564377 | − | 1.17324i | ||||
\(910\) | 12537.4 | + | 2316.67i | 0.456715 | + | 0.0843922i | ||||
\(911\) | 330.989 | − | 58.3623i | 0.0120375 | − | 0.00212254i | −0.167626 | − | 0.985851i | \(-0.553610\pi\) |
0.179664 | + | 0.983728i | \(0.442499\pi\) | |||||||
\(912\) | 5745.05 | + | 7581.11i | 0.208594 | + | 0.275259i | ||||
\(913\) | 17802.0 | + | 8301.20i | 0.645301 | + | 0.300909i | ||||
\(914\) | −7834.53 | + | 44431.8i | −0.283527 | + | 1.60796i | ||||
\(915\) | −24077.8 | − | 12972.1i | −0.869933 | − | 0.468681i | ||||
\(916\) | 1243.35 | − | 1043.30i | 0.0448488 | − | 0.0376326i | ||||
\(917\) | 5112.75 | + | 5112.75i | 0.184120 | + | 0.184120i | ||||
\(918\) | −1332.10 | + | 34.0858i | −0.0478930 | + | 0.00122549i | ||||
\(919\) | − | 1331.51i | − | 0.0477937i | −0.999714 | − | 0.0238969i | \(-0.992393\pi\) | ||
0.999714 | − | 0.0238969i | \(-0.00760733\pi\) | |||||||
\(920\) | 18258.6 | − | 17962.0i | 0.654312 | − | 0.643686i | ||||
\(921\) | −12712.0 | + | 11508.5i | −0.454804 | + | 0.411745i | ||||
\(922\) | 12603.0 | + | 17998.9i | 0.450170 | + | 0.642910i | ||||
\(923\) | −17834.7 | + | 38246.7i | −0.636009 | + | 1.36393i | ||||
\(924\) | −529.448 | − | 411.345i | −0.0188502 | − | 0.0146453i | ||||
\(925\) | −35762.8 | − | 17394.9i | −1.27122 | − | 0.618316i | ||||
\(926\) | 8898.50 | − | 5137.55i | 0.315791 | − | 0.182322i | ||||
\(927\) | −46567.0 | + | 26143.4i | −1.64990 | + | 0.926280i | ||||
\(928\) | 2871.52 | − | 769.421i | 0.101576 | − | 0.0272171i | ||||
\(929\) | 11248.4 | + | 4094.08i | 0.397253 | + | 0.144588i | 0.532919 | − | 0.846166i | \(-0.321095\pi\) |
−0.135666 | + | 0.990755i | \(0.543317\pi\) | |||||||
\(930\) | 28717.0 | + | 38546.2i | 1.01254 | + | 1.35912i | ||||
\(931\) | 6230.06 | + | 5227.64i | 0.219315 | + | 0.184027i | ||||
\(932\) | 3.14291 | + | 35.9237i | 0.000110461 | + | 0.00126257i | ||||
\(933\) | 25894.9 | + | 5904.44i | 0.908639 | + | 0.207184i | ||||
\(934\) | 5984.91 | − | 16443.4i | 0.209671 | − | 0.576065i | ||||
\(935\) | −1020.11 | + | 361.859i | −0.0356803 | + | 0.0126567i | ||||
\(936\) | −20694.8 | − | 21199.0i | −0.722683 | − | 0.740289i | ||||
\(937\) | 14316.3 | + | 3836.05i | 0.499140 | + | 0.133744i | 0.499601 | − | 0.866256i | \(-0.333480\pi\) |
−0.000461097 | 1.00000i | \(0.500147\pi\) | ||||||||
\(938\) | 1800.76 | + | 1260.90i | 0.0626831 | + | 0.0438912i | ||||
\(939\) | −12362.5 | + | 15912.0i | −0.429643 | + | 0.553001i | ||||
\(940\) | −1285.35 | − | 479.781i | −0.0445993 | − | 0.0166476i | ||||
\(941\) | 44629.2 | + | 7869.33i | 1.54609 | + | 0.272617i | 0.880625 | − | 0.473814i | \(-0.157123\pi\) |
0.665463 | + | 0.746431i | \(0.268234\pi\) | |||||||
\(942\) | 8888.61 | + | 441.684i | 0.307438 | + | 0.0152769i | ||||
\(943\) | −12590.5 | − | 1101.53i | −0.434787 | − | 0.0380390i | ||||
\(944\) | −17202.8 | −0.593117 | ||||||||
\(945\) | 4524.08 | − | 13136.4i | 0.155734 | − | 0.452199i | ||||
\(946\) | 32431.9 | 1.11464 | ||||||||
\(947\) | 13392.6 | + | 1171.70i | 0.459558 | + | 0.0402061i | 0.314585 | − | 0.949229i | \(-0.398135\pi\) |
0.144973 | + | 0.989436i | \(0.453690\pi\) | |||||||
\(948\) | −783.932 | + | 1214.34i | −0.0268575 | + | 0.0416033i | ||||
\(949\) | 14175.8 | + | 2499.57i | 0.484895 | + | 0.0855000i | ||||
\(950\) | −2885.53 | + | 10104.2i | −0.0985463 | + | 0.345077i | ||||
\(951\) | −45497.5 | − | 6268.59i | −1.55138 | − | 0.213747i | ||||
\(952\) | −587.336 | − | 411.257i | −0.0199955 | − | 0.0140010i | ||||
\(953\) | −11972.8 | − | 3208.11i | −0.406966 | − | 0.109046i | 0.0495280 | − | 0.998773i | \(-0.484228\pi\) |
−0.456494 | + | 0.889727i | \(0.650895\pi\) | |||||||
\(954\) | −2717.54 | − | 36053.6i | −0.0922260 | − | 1.22356i | ||||
\(955\) | 8664.43 | − | 18190.6i | 0.293586 | − | 0.616371i | ||||
\(956\) | 846.170 | − | 2324.83i | 0.0286267 | − | 0.0786511i | ||||
\(957\) | −12398.7 | + | 13368.4i | −0.418801 | + | 0.451556i | ||||
\(958\) | 1701.40 | + | 19447.1i | 0.0573796 | + | 0.655852i | ||||
\(959\) | −3006.40 | − | 2522.67i | −0.101232 | − | 0.0849440i | ||||
\(960\) | −29201.3 | + | 11612.4i | −0.981737 | + | 0.390406i | ||||
\(961\) | −58038.6 | − | 21124.3i | −1.94819 | − | 0.709084i | ||||
\(962\) | 39564.4 | − | 10601.3i | 1.32600 | − | 0.355300i | ||||
\(963\) | −6946.70 | + | 1138.87i | −0.232455 | + | 0.0381098i | ||||
\(964\) | −1077.12 | + | 621.873i | −0.0359871 | + | 0.0207772i | ||||
\(965\) | 22366.9 | + | 13158.9i | 0.746132 | + | 0.438963i | ||||
\(966\) | −11458.1 | + | 4665.52i | −0.381633 | + | 0.155394i | ||||
\(967\) | 10984.5 | − | 23556.4i | 0.365294 | − | 0.783374i | −0.634651 | − | 0.772799i | \(-0.718856\pi\) |
0.999944 | − | 0.0105753i | \(-0.00336627\pi\) | |||||||
\(968\) | 7407.38 | + | 10578.8i | 0.245953 | + | 0.351257i | ||||
\(969\) | 528.164 | + | 170.030i | 0.0175099 | + | 0.00563690i | ||||
\(970\) | 4619.22 | + | 4695.48i | 0.152901 | + | 0.155425i | ||||
\(971\) | − | 25355.0i | − | 0.837983i | −0.907990 | − | 0.418991i | \(-0.862384\pi\) | ||
0.907990 | − | 0.418991i | \(-0.137616\pi\) | |||||||
\(972\) | −1606.21 | + | 1157.42i | −0.0530033 | + | 0.0381938i | ||||
\(973\) | −2839.03 | − | 2839.03i | −0.0935406 | − | 0.0935406i | ||||
\(974\) | 17554.2 | − | 14729.7i | 0.577488 | − | 0.484570i | ||||
\(975\) | 4669.38 | − | 30222.0i | 0.153374 | − | 0.992696i | ||||
\(976\) | 4867.87 | − | 27607.1i | 0.159648 | − | 0.905410i | ||||
\(977\) | 40767.5 | + | 19010.2i | 1.33497 | + | 0.622508i | 0.953366 | − | 0.301817i | \(-0.0975932\pi\) |
0.381607 | + | 0.924325i | \(0.375371\pi\) | |||||||
\(978\) | 10023.1 | − | 23791.9i | 0.327712 | − | 0.777894i | ||||
\(979\) | 39184.7 | − | 6909.32i | 1.27921 | − | 0.225560i | ||||
\(980\) | −1273.48 | + | 876.251i | −0.0415100 | + | 0.0285620i | ||||
\(981\) | −8015.96 | − | 5757.82i | −0.260887 | − | 0.187394i | ||||
\(982\) | 7883.30 | + | 29420.9i | 0.256177 | + | 0.956067i | ||||
\(983\) | −40274.9 | + | 18780.5i | −1.30679 | + | 0.609364i | −0.946267 | − | 0.323388i | \(-0.895178\pi\) |
−0.360519 | + | 0.932752i | \(0.617400\pi\) | |||||||
\(984\) | 13766.9 | + | 7272.23i | 0.446010 | + | 0.235600i | ||||
\(985\) | 16692.1 | − | 2802.56i | 0.539954 | − | 0.0906568i | ||||
\(986\) | −768.610 | + | 915.994i | −0.0248251 | + | 0.0295854i | ||||
\(987\) | 7923.21 | + | 7348.47i | 0.255520 | + | 0.236985i | ||||
\(988\) | 319.707 | + | 685.613i | 0.0102948 | + | 0.0220772i | ||||
\(989\) | −20914.7 | + | 36225.3i | −0.672446 | + | 1.16471i | ||||
\(990\) | 13574.7 | − | 18575.6i | 0.435790 | − | 0.596336i | ||||
\(991\) | −3481.95 | − | 6030.91i | −0.111612 | − | 0.193318i | 0.804808 | − | 0.593535i | \(-0.202268\pi\) |
−0.916420 | + | 0.400217i | \(0.868935\pi\) | |||||||
\(992\) | 4098.19 | − | 5852.83i | 0.131167 | − | 0.187326i | ||||
\(993\) | −20640.0 | + | 15641.2i | −0.659609 | + | 0.499859i | ||||
\(994\) | −7425.15 | − | 20400.4i | −0.236933 | − | 0.650968i | ||||
\(995\) | 5540.85 | − | 57871.3i | 0.176540 | − | 1.84386i | ||||
\(996\) | 1870.97 | − | 402.988i | 0.0595219 | − | 0.0128204i | ||||
\(997\) | −1556.93 | + | 17795.8i | −0.0494569 | + | 0.565295i | 0.930528 | + | 0.366222i | \(0.119349\pi\) |
−0.979985 | + | 0.199074i | \(0.936207\pi\) | |||||||
\(998\) | 33845.5 | − | 33845.5i | 1.07351 | − | 1.07351i | ||||
\(999\) | −5026.37 | − | 44351.4i | −0.159186 | − | 1.40462i |
(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 | 135.4.q.a.113.16 | yes | 624 | |
5.2 | odd | 4 | inner | 135.4.q.a.32.37 | ✓ | 624 | |
27.11 | odd | 18 | inner | 135.4.q.a.38.37 | yes | 624 | |
135.92 | even | 36 | inner | 135.4.q.a.92.16 | yes | 624 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.4.q.a.32.37 | ✓ | 624 | 5.2 | odd | 4 | inner | |
135.4.q.a.38.37 | yes | 624 | 27.11 | odd | 18 | inner | |
135.4.q.a.92.16 | yes | 624 | 135.92 | even | 36 | inner | |
135.4.q.a.113.16 | yes | 624 | 1.1 | even | 1 | trivial |