Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 165 x^{16} - 56 x^{15} + 18435 x^{14} - 11748 x^{13} + 1092662 x^{12} - 1833567 x^{11} + \cdots + 3892796082289 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Root | \(-4.21239 - 7.29608i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.23 |
Dual form | 38.4.e.b.5.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87939 | + | 0.684040i | 0.664463 | + | 0.241845i | ||||
\(3\) | −1.31024 | − | 7.43077i | −0.252157 | − | 1.43005i | −0.803267 | − | 0.595619i | \(-0.796907\pi\) |
0.551110 | − | 0.834433i | \(-0.314204\pi\) | |||||||
\(4\) | 3.06418 | + | 2.57115i | 0.383022 | + | 0.321394i | ||||
\(5\) | 3.45478 | − | 2.89891i | 0.309005 | − | 0.259286i | −0.475076 | − | 0.879945i | \(-0.657579\pi\) |
0.784081 | + | 0.620659i | \(0.213135\pi\) | |||||||
\(6\) | 2.62049 | − | 14.8615i | 0.178302 | − | 1.01120i | ||||
\(7\) | 4.21085 | − | 7.29340i | 0.227364 | − | 0.393807i | −0.729662 | − | 0.683808i | \(-0.760322\pi\) |
0.957026 | + | 0.290002i | \(0.0936558\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | −28.1279 | + | 10.2377i | −1.04177 | + | 0.379174i | ||||
\(10\) | 8.47584 | − | 3.08495i | 0.268029 | − | 0.0975548i | ||||
\(11\) | 19.9270 | + | 34.5147i | 0.546203 | + | 0.946051i | 0.998530 | + | 0.0541991i | \(0.0172606\pi\) |
−0.452327 | + | 0.891852i | \(0.649406\pi\) | |||||||
\(12\) | 15.0908 | − | 26.1380i | 0.363028 | − | 0.628783i | ||||
\(13\) | −12.5243 | + | 71.0287i | −0.267201 | + | 1.51537i | 0.495494 | + | 0.868611i | \(0.334987\pi\) |
−0.762695 | + | 0.646759i | \(0.776124\pi\) | |||||||
\(14\) | 12.9028 | − | 10.8267i | 0.246315 | − | 0.206683i | ||||
\(15\) | −26.0677 | − | 21.8734i | −0.448710 | − | 0.376513i | ||||
\(16\) | 2.77837 | + | 15.7569i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −83.5662 | − | 30.4156i | −1.19222 | − | 0.433934i | −0.331719 | − | 0.943378i | \(-0.607629\pi\) |
−0.860504 | + | 0.509445i | \(0.829851\pi\) | |||||||
\(18\) | −59.8661 | −0.783921 | ||||||||
\(19\) | 34.2213 | − | 75.4182i | 0.413206 | − | 0.910638i | ||||
\(20\) | 18.0396 | 0.201689 | ||||||||
\(21\) | −59.7128 | − | 21.7337i | −0.620495 | − | 0.225842i | ||||
\(22\) | 13.8412 | + | 78.4973i | 0.134134 | + | 0.760712i | ||||
\(23\) | 68.3271 | + | 57.3332i | 0.619443 | + | 0.519774i | 0.897628 | − | 0.440753i | \(-0.145289\pi\) |
−0.278186 | + | 0.960527i | \(0.589733\pi\) | |||||||
\(24\) | 46.2409 | − | 38.8007i | 0.393287 | − | 0.330007i | ||||
\(25\) | −18.1742 | + | 103.071i | −0.145393 | + | 0.824566i | ||||
\(26\) | −72.1244 | + | 124.923i | −0.544029 | + | 0.942286i | ||||
\(27\) | 11.0655 | + | 19.1661i | 0.0788727 | + | 0.136612i | ||||
\(28\) | 31.6552 | − | 11.5216i | 0.213653 | − | 0.0777632i | ||||
\(29\) | 163.711 | − | 59.5858i | 1.04829 | − | 0.381545i | 0.240270 | − | 0.970706i | \(-0.422764\pi\) |
0.808016 | + | 0.589161i | \(0.200542\pi\) | |||||||
\(30\) | −34.0290 | − | 58.9399i | −0.207094 | − | 0.358697i | ||||
\(31\) | 27.1416 | − | 47.0106i | 0.157251 | − | 0.272366i | −0.776626 | − | 0.629963i | \(-0.783070\pi\) |
0.933876 | + | 0.357596i | \(0.116404\pi\) | |||||||
\(32\) | −5.55674 | + | 31.5138i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 230.361 | − | 193.296i | 1.21517 | − | 1.01965i | ||||
\(34\) | −136.248 | − | 114.325i | −0.687243 | − | 0.576666i | ||||
\(35\) | −6.59533 | − | 37.4040i | −0.0318518 | − | 0.180641i | ||||
\(36\) | −112.511 | − | 40.9508i | −0.520887 | − | 0.189587i | ||||
\(37\) | −342.543 | −1.52199 | −0.760996 | − | 0.648756i | \(-0.775290\pi\) | ||||
−0.760996 | + | 0.648756i | \(0.775290\pi\) | |||||||
\(38\) | 115.904 | − | 118.331i | 0.494793 | − | 0.505153i | ||||
\(39\) | 544.207 | 2.23443 | ||||||||
\(40\) | 33.9033 | + | 12.3398i | 0.134015 | + | 0.0487774i | ||||
\(41\) | −55.4266 | − | 314.340i | −0.211126 | − | 1.19736i | −0.887503 | − | 0.460801i | \(-0.847562\pi\) |
0.676377 | − | 0.736555i | \(-0.263549\pi\) | |||||||
\(42\) | −97.3567 | − | 81.6919i | −0.357678 | − | 0.300127i | ||||
\(43\) | −155.259 | + | 130.278i | −0.550624 | + | 0.462028i | −0.875152 | − | 0.483848i | \(-0.839239\pi\) |
0.324528 | + | 0.945876i | \(0.394794\pi\) | |||||||
\(44\) | −27.6824 | + | 156.995i | −0.0948471 | + | 0.537905i | ||||
\(45\) | −67.4975 | + | 116.909i | −0.223599 | + | 0.387284i | ||||
\(46\) | 89.1947 | + | 154.490i | 0.285892 | + | 0.495180i | ||||
\(47\) | 91.4185 | − | 33.2736i | 0.283718 | − | 0.103265i | −0.196241 | − | 0.980556i | \(-0.562874\pi\) |
0.479960 | + | 0.877291i | \(0.340651\pi\) | |||||||
\(48\) | 113.446 | − | 41.2909i | 0.341135 | − | 0.124163i | ||||
\(49\) | 136.038 | + | 235.624i | 0.396611 | + | 0.686950i | ||||
\(50\) | −104.661 | + | 181.278i | −0.296025 | + | 0.512731i | ||||
\(51\) | −116.519 | + | 660.813i | −0.319921 | + | 1.81436i | ||||
\(52\) | −221.002 | + | 185.443i | −0.589374 | + | 0.494544i | ||||
\(53\) | −324.180 | − | 272.019i | −0.840180 | − | 0.704995i | 0.117424 | − | 0.993082i | \(-0.462536\pi\) |
−0.957604 | + | 0.288087i | \(0.906981\pi\) | |||||||
\(54\) | 7.68604 | + | 43.5897i | 0.0193692 | + | 0.109848i | ||||
\(55\) | 168.898 | + | 61.4740i | 0.414077 | + | 0.150712i | ||||
\(56\) | 67.3736 | 0.160771 | ||||||||
\(57\) | −605.253 | − | 155.475i | −1.40645 | − | 0.361283i | ||||
\(58\) | 348.434 | 0.788822 | ||||||||
\(59\) | −285.926 | − | 104.069i | −0.630923 | − | 0.229637i | 0.00671005 | − | 0.999977i | \(-0.497864\pi\) |
−0.637633 | + | 0.770340i | \(0.720086\pi\) | |||||||
\(60\) | −23.6363 | − | 134.048i | −0.0508572 | − | 0.288425i | ||||
\(61\) | −253.870 | − | 213.022i | −0.532865 | − | 0.447127i | 0.336224 | − | 0.941782i | \(-0.390850\pi\) |
−0.869089 | + | 0.494655i | \(0.835294\pi\) | |||||||
\(62\) | 83.1667 | − | 69.7851i | 0.170358 | − | 0.142947i | ||||
\(63\) | −43.7745 | + | 248.257i | −0.0875407 | + | 0.496468i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 162.637 | + | 281.695i | 0.310348 | + | 0.537538i | ||||
\(66\) | 565.160 | − | 205.701i | 1.05404 | − | 0.383637i | ||||
\(67\) | −878.531 | + | 319.759i | −1.60194 | + | 0.583057i | −0.979822 | − | 0.199870i | \(-0.935948\pi\) |
−0.622113 | + | 0.782927i | \(0.713726\pi\) | |||||||
\(68\) | −177.859 | − | 308.060i | −0.317184 | − | 0.549379i | ||||
\(69\) | 336.505 | − | 582.843i | 0.587107 | − | 1.01690i | ||||
\(70\) | 13.1907 | − | 74.8079i | 0.0225226 | − | 0.127732i | ||||
\(71\) | 818.667 | − | 686.944i | 1.36842 | − | 1.14824i | 0.395142 | − | 0.918620i | \(-0.370695\pi\) |
0.973280 | − | 0.229622i | \(-0.0737490\pi\) | |||||||
\(72\) | −183.440 | − | 153.925i | −0.300259 | − | 0.251947i | ||||
\(73\) | 179.899 | + | 1020.26i | 0.288433 | + | 1.63578i | 0.692759 | + | 0.721169i | \(0.256395\pi\) |
−0.404327 | + | 0.914615i | \(0.632494\pi\) | |||||||
\(74\) | −643.770 | − | 234.313i | −1.01131 | − | 0.368086i | ||||
\(75\) | 789.708 | 1.21583 | ||||||||
\(76\) | 298.772 | − | 143.106i | 0.450940 | − | 0.215993i | ||||
\(77\) | 335.639 | 0.496748 | ||||||||
\(78\) | 1022.78 | + | 372.260i | 1.48470 | + | 0.540386i | ||||
\(79\) | 18.3231 | + | 103.915i | 0.0260951 | + | 0.147992i | 0.995071 | − | 0.0991611i | \(-0.0316159\pi\) |
−0.968976 | + | 0.247154i | \(0.920505\pi\) | |||||||
\(80\) | 55.2765 | + | 46.3825i | 0.0772513 | + | 0.0648215i | ||||
\(81\) | −491.191 | + | 412.158i | −0.673788 | + | 0.565375i | ||||
\(82\) | 110.853 | − | 628.679i | 0.149289 | − | 0.846659i | ||||
\(83\) | 436.673 | − | 756.340i | 0.577483 | − | 1.00023i | −0.418284 | − | 0.908316i | \(-0.637368\pi\) |
0.995767 | − | 0.0919137i | \(-0.0292984\pi\) | |||||||
\(84\) | −127.090 | − | 220.126i | −0.165079 | − | 0.285926i | ||||
\(85\) | −376.875 | + | 137.171i | −0.480916 | + | 0.175039i | ||||
\(86\) | −380.908 | + | 138.639i | −0.477608 | + | 0.173835i | ||||
\(87\) | −657.269 | − | 1138.42i | −0.809961 | − | 1.40289i | ||||
\(88\) | −159.416 | + | 276.117i | −0.193112 | + | 0.334480i | ||||
\(89\) | 27.6387 | − | 156.747i | 0.0329180 | − | 0.186687i | −0.963915 | − | 0.266210i | \(-0.914229\pi\) |
0.996833 | + | 0.0795228i | \(0.0253397\pi\) | |||||||
\(90\) | −206.824 | + | 173.546i | −0.242236 | + | 0.203260i | ||||
\(91\) | 465.303 | + | 390.435i | 0.536011 | + | 0.449766i | ||||
\(92\) | 61.9540 | + | 351.358i | 0.0702081 | + | 0.398170i | ||||
\(93\) | −384.887 | − | 140.087i | −0.429150 | − | 0.156198i | ||||
\(94\) | 194.571 | 0.213494 | ||||||||
\(95\) | −100.403 | − | 359.758i | −0.108433 | − | 0.388530i | ||||
\(96\) | 241.453 | 0.256700 | ||||||||
\(97\) | 926.508 | + | 337.221i | 0.969821 | + | 0.352986i | 0.777875 | − | 0.628420i | \(-0.216298\pi\) |
0.191946 | + | 0.981405i | \(0.438520\pi\) | |||||||
\(98\) | 94.4907 | + | 535.883i | 0.0973980 | + | 0.552371i | ||||
\(99\) | −913.857 | − | 766.817i | −0.927738 | − | 0.778464i | ||||
\(100\) | −320.699 | + | 269.099i | −0.320699 | + | 0.269099i | ||||
\(101\) | −128.986 | + | 731.516i | −0.127075 | + | 0.720679i | 0.852978 | + | 0.521946i | \(0.174794\pi\) |
−0.980054 | + | 0.198733i | \(0.936317\pi\) | |||||||
\(102\) | −671.007 | + | 1162.22i | −0.651369 | + | 1.12820i | ||||
\(103\) | −89.2997 | − | 154.672i | −0.0854268 | − | 0.147964i | 0.820146 | − | 0.572154i | \(-0.193892\pi\) |
−0.905573 | + | 0.424190i | \(0.860559\pi\) | |||||||
\(104\) | −542.198 | + | 197.344i | −0.511220 | + | 0.186069i | ||||
\(105\) | −269.299 | + | 98.0167i | −0.250294 | + | 0.0910995i | ||||
\(106\) | −423.187 | − | 732.981i | −0.387769 | − | 0.671636i | ||||
\(107\) | −30.1938 | + | 52.2971i | −0.0272798 | + | 0.0472500i | −0.879343 | − | 0.476189i | \(-0.842018\pi\) |
0.852063 | + | 0.523439i | \(0.175351\pi\) | |||||||
\(108\) | −15.3721 | + | 87.1794i | −0.0136961 | + | 0.0776745i | ||||
\(109\) | 249.955 | − | 209.737i | 0.219645 | − | 0.184304i | −0.526325 | − | 0.850283i | \(-0.676430\pi\) |
0.745970 | + | 0.665979i | \(0.231986\pi\) | |||||||
\(110\) | 275.374 | + | 231.067i | 0.238690 | + | 0.200285i | ||||
\(111\) | 448.815 | + | 2545.36i | 0.383781 | + | 2.17653i | ||||
\(112\) | 126.621 | + | 46.0862i | 0.106826 | + | 0.0388816i | ||||
\(113\) | 1991.15 | 1.65762 | 0.828811 | − | 0.559528i | \(-0.189018\pi\) | ||||
0.828811 | + | 0.559528i | \(0.189018\pi\) | |||||||
\(114\) | −1031.15 | − | 706.214i | −0.847161 | − | 0.580202i | ||||
\(115\) | 402.259 | 0.326181 | ||||||||
\(116\) | 654.842 | + | 238.343i | 0.524143 | + | 0.190772i | ||||
\(117\) | −374.890 | − | 2126.11i | −0.296227 | − | 1.67999i | ||||
\(118\) | −466.179 | − | 391.170i | −0.363688 | − | 0.305171i | ||||
\(119\) | −573.718 | + | 481.406i | −0.441955 | + | 0.370844i | ||||
\(120\) | 47.2726 | − | 268.096i | 0.0359615 | − | 0.203948i | ||||
\(121\) | −128.675 | + | 222.871i | −0.0966752 | + | 0.167446i | ||||
\(122\) | −331.404 | − | 574.009i | −0.245934 | − | 0.425970i | ||||
\(123\) | −2263.16 | + | 823.724i | −1.65905 | + | 0.603843i | ||||
\(124\) | 204.038 | − | 74.2638i | 0.147767 | − | 0.0537829i | ||||
\(125\) | 517.873 | + | 896.983i | 0.370560 | + | 0.641829i | ||||
\(126\) | −252.087 | + | 436.628i | −0.178236 | + | 0.308713i | ||||
\(127\) | 423.699 | − | 2402.92i | 0.296041 | − | 1.67893i | −0.366901 | − | 0.930260i | \(-0.619581\pi\) |
0.662942 | − | 0.748671i | \(-0.269308\pi\) | |||||||
\(128\) | −98.0537 | + | 82.2768i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 1171.49 | + | 983.000i | 0.799568 | + | 0.670917i | ||||
\(130\) | 112.966 | + | 640.664i | 0.0762139 | + | 0.432230i | ||||
\(131\) | 433.656 | + | 157.838i | 0.289227 | + | 0.105270i | 0.482559 | − | 0.875863i | \(-0.339707\pi\) |
−0.193332 | + | 0.981133i | \(0.561930\pi\) | |||||||
\(132\) | 1202.86 | 0.793148 | ||||||||
\(133\) | −405.954 | − | 567.164i | −0.264667 | − | 0.369770i | ||||
\(134\) | −1869.83 | −1.20544 | ||||||||
\(135\) | 93.7897 | + | 34.1367i | 0.0597936 | + | 0.0217631i | ||||
\(136\) | −123.539 | − | 700.626i | −0.0778927 | − | 0.441752i | ||||
\(137\) | −118.978 | − | 99.8341i | −0.0741967 | − | 0.0622584i | 0.604935 | − | 0.796275i | \(-0.293199\pi\) |
−0.679132 | + | 0.734016i | \(0.737644\pi\) | |||||||
\(138\) | 1031.11 | − | 865.204i | 0.636043 | − | 0.533703i | ||||
\(139\) | 3.20544 | − | 18.1790i | 0.00195599 | − | 0.0110929i | −0.983814 | − | 0.179192i | \(-0.942652\pi\) |
0.985770 | + | 0.168099i | \(0.0537628\pi\) | |||||||
\(140\) | 75.9620 | − | 131.570i | 0.0458568 | − | 0.0794264i | ||||
\(141\) | −367.029 | − | 635.713i | −0.219216 | − | 0.379693i | ||||
\(142\) | 2008.49 | − | 731.030i | 1.18696 | − | 0.432019i | ||||
\(143\) | −2701.10 | + | 983.121i | −1.57956 | + | 0.574914i | ||||
\(144\) | −239.464 | − | 414.765i | −0.138579 | − | 0.240026i | ||||
\(145\) | 392.851 | − | 680.438i | 0.224996 | − | 0.389705i | ||||
\(146\) | −359.798 | + | 2040.52i | −0.203953 | + | 1.15667i | ||||
\(147\) | 1572.62 | − | 1319.59i | 0.882366 | − | 0.740393i | ||||
\(148\) | −1049.61 | − | 880.730i | −0.582957 | − | 0.489159i | ||||
\(149\) | 137.443 | + | 779.478i | 0.0755690 | + | 0.428573i | 0.998996 | + | 0.0447989i | \(0.0142647\pi\) |
−0.923427 | + | 0.383774i | \(0.874624\pi\) | |||||||
\(150\) | 1484.16 | + | 540.192i | 0.807877 | + | 0.294043i | ||||
\(151\) | −447.674 | −0.241266 | −0.120633 | − | 0.992697i | \(-0.538492\pi\) | ||||
−0.120633 | + | 0.992697i | \(0.538492\pi\) | |||||||
\(152\) | 659.398 | − | 64.5802i | 0.351870 | − | 0.0344615i | ||||
\(153\) | 2661.93 | 1.40656 | ||||||||
\(154\) | 630.795 | + | 229.591i | 0.330071 | + | 0.120136i | ||||
\(155\) | −42.5111 | − | 241.092i | −0.0220295 | − | 0.124936i | ||||
\(156\) | 1667.55 | + | 1399.24i | 0.855838 | + | 0.718133i | ||||
\(157\) | 1513.38 | − | 1269.87i | 0.769304 | − | 0.645523i | −0.171227 | − | 0.985232i | \(-0.554773\pi\) |
0.940531 | + | 0.339709i | \(0.110329\pi\) | |||||||
\(158\) | −36.6462 | + | 207.831i | −0.0184520 | + | 0.104646i | ||||
\(159\) | −1596.56 | + | 2765.32i | −0.796322 | + | 1.37927i | ||||
\(160\) | 72.1584 | + | 124.982i | 0.0356539 | + | 0.0617543i | ||||
\(161\) | 705.869 | − | 256.915i | 0.345530 | − | 0.125763i | ||||
\(162\) | −1205.07 | + | 438.610i | −0.584440 | + | 0.212719i | ||||
\(163\) | −544.393 | − | 942.917i | −0.261596 | − | 0.453098i | 0.705070 | − | 0.709138i | \(-0.250916\pi\) |
−0.966666 | + | 0.256040i | \(0.917582\pi\) | |||||||
\(164\) | 638.378 | − | 1105.70i | 0.303957 | − | 0.526469i | ||||
\(165\) | 235.501 | − | 1335.59i | 0.111113 | − | 0.630155i | ||||
\(166\) | 1338.04 | − | 1122.75i | 0.625617 | − | 0.524955i | ||||
\(167\) | −2066.64 | − | 1734.12i | −0.957613 | − | 0.803533i | 0.0229499 | − | 0.999737i | \(-0.492694\pi\) |
−0.980563 | + | 0.196204i | \(0.937139\pi\) | |||||||
\(168\) | −88.2759 | − | 500.637i | −0.0405395 | − | 0.229911i | ||||
\(169\) | −2823.71 | − | 1027.75i | −1.28526 | − | 0.467795i | ||||
\(170\) | −802.124 | −0.361883 | ||||||||
\(171\) | −190.465 | + | 2471.70i | −0.0851765 | + | 1.10535i | ||||
\(172\) | −810.707 | −0.359394 | ||||||||
\(173\) | −1336.67 | − | 486.510i | −0.587431 | − | 0.213807i | 0.0311684 | − | 0.999514i | \(-0.490077\pi\) |
−0.618599 | + | 0.785707i | \(0.712299\pi\) | |||||||
\(174\) | −456.534 | − | 2589.13i | −0.198907 | − | 1.12806i | ||||
\(175\) | 675.208 | + | 566.567i | 0.291662 | + | 0.244734i | ||||
\(176\) | −488.480 | + | 409.884i | −0.209208 | + | 0.175546i | ||||
\(177\) | −398.677 | + | 2261.01i | −0.169302 | + | 0.960157i | ||||
\(178\) | 159.165 | − | 275.682i | 0.0670221 | − | 0.116086i | ||||
\(179\) | 492.061 | + | 852.275i | 0.205466 | + | 0.355877i | 0.950281 | − | 0.311393i | \(-0.100796\pi\) |
−0.744815 | + | 0.667271i | \(0.767462\pi\) | |||||||
\(180\) | −507.415 | + | 184.684i | −0.210114 | + | 0.0764752i | ||||
\(181\) | −678.112 | + | 246.813i | −0.278473 | + | 0.101356i | −0.477481 | − | 0.878642i | \(-0.658450\pi\) |
0.199008 | + | 0.979998i | \(0.436228\pi\) | |||||||
\(182\) | 607.410 | + | 1052.06i | 0.247386 | + | 0.428485i | ||||
\(183\) | −1250.29 | + | 2165.56i | −0.505049 | + | 0.874771i | ||||
\(184\) | −123.908 | + | 702.717i | −0.0496446 | + | 0.281549i | ||||
\(185\) | −1183.41 | + | 993.000i | −0.470304 | + | 0.394632i | ||||
\(186\) | −627.526 | − | 526.557i | −0.247379 | − | 0.207575i | ||||
\(187\) | −615.444 | − | 3490.35i | −0.240672 | − | 1.36492i | ||||
\(188\) | 365.674 | + | 133.094i | 0.141859 | + | 0.0516325i | ||||
\(189\) | 186.381 | 0.0717314 | ||||||||
\(190\) | 57.3931 | − | 744.803i | 0.0219144 | − | 0.284388i | ||||
\(191\) | 2072.90 | 0.785287 | 0.392643 | − | 0.919691i | \(-0.371561\pi\) | ||||
0.392643 | + | 0.919691i | \(0.371561\pi\) | |||||||
\(192\) | 453.783 | + | 165.163i | 0.170567 | + | 0.0620815i | ||||
\(193\) | 804.129 | + | 4560.44i | 0.299909 | + | 1.70087i | 0.646549 | + | 0.762872i | \(0.276211\pi\) |
−0.346640 | + | 0.937998i | \(0.612677\pi\) | |||||||
\(194\) | 1510.59 | + | 1267.54i | 0.559042 | + | 0.469092i | ||||
\(195\) | 1880.12 | − | 1577.61i | 0.690452 | − | 0.579358i | ||||
\(196\) | −188.981 | + | 1071.77i | −0.0688708 | + | 0.390585i | ||||
\(197\) | −1282.87 | + | 2222.00i | −0.463964 | + | 0.803609i | −0.999154 | − | 0.0411225i | \(-0.986907\pi\) |
0.535190 | + | 0.844732i | \(0.320240\pi\) | |||||||
\(198\) | −1192.95 | − | 2066.26i | −0.428180 | − | 0.741629i | ||||
\(199\) | −957.254 | + | 348.412i | −0.340995 | + | 0.124112i | −0.506841 | − | 0.862040i | \(-0.669187\pi\) |
0.165846 | + | 0.986152i | \(0.446965\pi\) | |||||||
\(200\) | −786.792 | + | 286.369i | −0.278173 | + | 0.101247i | ||||
\(201\) | 3527.15 | + | 6109.20i | 1.23774 | + | 2.14383i | ||||
\(202\) | −742.801 | + | 1286.57i | −0.258729 | + | 0.448132i | ||||
\(203\) | 254.777 | − | 1444.91i | 0.0880880 | − | 0.499572i | ||||
\(204\) | −2056.09 | + | 1725.26i | −0.705661 | + | 0.592120i | ||||
\(205\) | −1102.73 | − | 925.299i | −0.375697 | − | 0.315247i | ||||
\(206\) | −62.0269 | − | 351.772i | −0.0209787 | − | 0.118976i | ||||
\(207\) | −2508.86 | − | 913.149i | −0.842404 | − | 0.306610i | ||||
\(208\) | −1153.99 | −0.384687 | ||||||||
\(209\) | 3284.96 | − | 321.723i | 1.08720 | − | 0.106479i | ||||
\(210\) | −573.163 | −0.188343 | ||||||||
\(211\) | 2075.58 | + | 755.449i | 0.677198 | + | 0.246480i | 0.657644 | − | 0.753329i | \(-0.271553\pi\) |
0.0195538 | + | 0.999809i | \(0.493775\pi\) | |||||||
\(212\) | −293.943 | − | 1667.03i | −0.0952267 | − | 0.540057i | ||||
\(213\) | −6177.17 | − | 5183.26i | −1.98710 | − | 1.66738i | ||||
\(214\) | −92.5190 | + | 77.6327i | −0.0295536 | + | 0.0247984i | ||||
\(215\) | −158.723 | + | 900.165i | −0.0503481 | + | 0.285538i | ||||
\(216\) | −88.5243 | + | 153.329i | −0.0278857 | + | 0.0482995i | ||||
\(217\) | −228.578 | − | 395.909i | −0.0715065 | − | 0.123853i | ||||
\(218\) | 613.230 | − | 223.198i | 0.190519 | − | 0.0693433i | ||||
\(219\) | 7345.59 | − | 2673.58i | 2.26652 | − | 0.824948i | ||||
\(220\) | 359.476 | + | 622.630i | 0.110163 | + | 0.190808i | ||||
\(221\) | 3206.99 | − | 5554.66i | 0.976133 | − | 1.69071i | ||||
\(222\) | −897.631 | + | 5090.72i | −0.271374 | + | 1.53904i | ||||
\(223\) | 4420.26 | − | 3709.04i | 1.32737 | − | 1.11379i | 0.342681 | − | 0.939452i | \(-0.388665\pi\) |
0.984685 | − | 0.174341i | \(-0.0557794\pi\) | |||||||
\(224\) | 206.445 | + | 173.228i | 0.0615788 | + | 0.0516708i | ||||
\(225\) | −544.008 | − | 3085.22i | −0.161188 | − | 0.914140i | ||||
\(226\) | 3742.13 | + | 1362.03i | 1.10143 | + | 0.400887i | ||||
\(227\) | −4429.23 | −1.29506 | −0.647529 | − | 0.762041i | \(-0.724198\pi\) | ||||
−0.647529 | + | 0.762041i | \(0.724198\pi\) | |||||||
\(228\) | −1454.85 | − | 2032.60i | −0.422588 | − | 0.590404i | ||||
\(229\) | −880.027 | −0.253947 | −0.126973 | − | 0.991906i | \(-0.540526\pi\) | ||||
−0.126973 | + | 0.991906i | \(0.540526\pi\) | |||||||
\(230\) | 755.999 | + | 275.161i | 0.216735 | + | 0.0788852i | ||||
\(231\) | −439.769 | − | 2494.06i | −0.125258 | − | 0.710376i | ||||
\(232\) | 1067.66 | + | 895.877i | 0.302136 | + | 0.253522i | ||||
\(233\) | −293.030 | + | 245.881i | −0.0823906 | + | 0.0691339i | −0.683053 | − | 0.730369i | \(-0.739348\pi\) |
0.600662 | + | 0.799503i | \(0.294904\pi\) | |||||||
\(234\) | 749.779 | − | 4252.21i | 0.209464 | − | 1.18793i | ||||
\(235\) | 219.374 | − | 379.967i | 0.0608952 | − | 0.105474i | ||||
\(236\) | −608.553 | − | 1054.04i | −0.167854 | − | 0.290731i | ||||
\(237\) | 748.164 | − | 272.309i | 0.205057 | − | 0.0746346i | ||||
\(238\) | −1407.54 | + | 512.302i | −0.383349 | + | 0.139528i | ||||
\(239\) | −1527.57 | − | 2645.82i | −0.413431 | − | 0.716084i | 0.581831 | − | 0.813310i | \(-0.302336\pi\) |
−0.995262 | + | 0.0972259i | \(0.969003\pi\) | |||||||
\(240\) | 272.232 | − | 471.519i | 0.0732187 | − | 0.126819i | ||||
\(241\) | −9.38097 | + | 53.2021i | −0.00250739 | + | 0.0142201i | −0.986036 | − | 0.166534i | \(-0.946743\pi\) |
0.983528 | + | 0.180754i | \(0.0578537\pi\) | |||||||
\(242\) | −394.282 | + | 330.842i | −0.104733 | + | 0.0878815i | ||||
\(243\) | 4163.98 | + | 3493.99i | 1.09926 | + | 0.922385i | ||||
\(244\) | −230.191 | − | 1305.48i | −0.0603953 | − | 0.342519i | ||||
\(245\) | 1153.03 | + | 419.669i | 0.300671 | + | 0.109435i | ||||
\(246\) | −4816.82 | −1.24841 | ||||||||
\(247\) | 4928.25 | + | 3375.25i | 1.26954 | + | 0.869483i | ||||
\(248\) | 434.266 | 0.111193 | ||||||||
\(249\) | −6192.34 | − | 2253.83i | −1.57600 | − | 0.573616i | ||||
\(250\) | 359.711 | + | 2040.02i | 0.0910005 | + | 0.516090i | ||||
\(251\) | 3375.11 | + | 2832.05i | 0.848745 | + | 0.712182i | 0.959513 | − | 0.281665i | \(-0.0908866\pi\) |
−0.110768 | + | 0.993846i | \(0.535331\pi\) | |||||||
\(252\) | −772.439 | + | 648.154i | −0.193092 | + | 0.162023i | ||||
\(253\) | −617.280 | + | 3500.77i | −0.153392 | + | 0.869927i | ||||
\(254\) | 2439.98 | − | 4226.18i | 0.602749 | − | 1.04399i | ||||
\(255\) | 1513.09 | + | 2620.74i | 0.371581 | + | 0.643598i | ||||
\(256\) | −240.561 | + | 87.5572i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 1340.44 | − | 487.880i | 0.325347 | − | 0.118417i | −0.174183 | − | 0.984713i | \(-0.555728\pi\) |
0.499530 | + | 0.866297i | \(0.333506\pi\) | |||||||
\(258\) | 1529.28 | + | 2648.79i | 0.369026 | + | 0.639171i | ||||
\(259\) | −1442.40 | + | 2498.30i | −0.346047 | + | 0.599371i | ||||
\(260\) | −225.933 | + | 1281.33i | −0.0538914 | + | 0.305633i | ||||
\(261\) | −3994.81 | + | 3352.04i | −0.947404 | + | 0.794966i | ||||
\(262\) | 707.040 | + | 593.277i | 0.166722 | + | 0.139896i | ||||
\(263\) | 79.1222 | + | 448.724i | 0.0185509 | + | 0.105207i | 0.992677 | − | 0.120797i | \(-0.0385449\pi\) |
−0.974126 | + | 0.226004i | \(0.927434\pi\) | |||||||
\(264\) | 2260.64 | + | 822.805i | 0.527018 | + | 0.191819i | ||||
\(265\) | −1908.53 | −0.442415 | ||||||||
\(266\) | −374.981 | − | 1343.61i | −0.0864344 | − | 0.309707i | ||||
\(267\) | −1200.96 | −0.275273 | ||||||||
\(268\) | −3514.13 | − | 1279.04i | −0.800968 | − | 0.291528i | ||||
\(269\) | 1357.59 | + | 7699.26i | 0.307708 | + | 1.74510i | 0.610474 | + | 0.792036i | \(0.290979\pi\) |
−0.302765 | + | 0.953065i | \(0.597910\pi\) | |||||||
\(270\) | 152.916 | + | 128.312i | 0.0344673 | + | 0.0289215i | ||||
\(271\) | −3252.94 | + | 2729.54i | −0.729159 | + | 0.611837i | −0.929902 | − | 0.367807i | \(-0.880109\pi\) |
0.200743 | + | 0.979644i | \(0.435664\pi\) | |||||||
\(272\) | 247.079 | − | 1401.25i | 0.0550785 | − | 0.312366i | ||||
\(273\) | 2291.57 | − | 3969.12i | 0.508031 | − | 0.879935i | ||||
\(274\) | −155.314 | − | 269.012i | −0.0342441 | − | 0.0593125i | ||||
\(275\) | −3919.61 | + | 1426.62i | −0.859496 | + | 0.312831i | ||||
\(276\) | 2529.69 | − | 920.731i | 0.551700 | − | 0.200803i | ||||
\(277\) | −2907.49 | − | 5035.92i | −0.630665 | − | 1.09234i | −0.987416 | − | 0.158144i | \(-0.949449\pi\) |
0.356751 | − | 0.934199i | \(-0.383884\pi\) | |||||||
\(278\) | 18.4594 | − | 31.9726i | 0.00398245 | − | 0.00689781i | ||||
\(279\) | −282.154 | + | 1600.18i | −0.0605453 | + | 0.343369i | ||||
\(280\) | 232.761 | − | 195.310i | 0.0496790 | − | 0.0416857i | ||||
\(281\) | −2636.30 | − | 2212.12i | −0.559675 | − | 0.469623i | 0.318527 | − | 0.947914i | \(-0.396812\pi\) |
−0.878201 | + | 0.478291i | \(0.841256\pi\) | |||||||
\(282\) | −254.936 | − | 1445.81i | −0.0538341 | − | 0.305308i | ||||
\(283\) | −3156.25 | − | 1148.78i | −0.662966 | − | 0.241300i | −0.0114497 | − | 0.999934i | \(-0.503645\pi\) |
−0.651516 | + | 0.758635i | \(0.725867\pi\) | |||||||
\(284\) | 4274.78 | 0.893174 | ||||||||
\(285\) | −2541.72 | + | 1217.44i | −0.528276 | + | 0.253035i | ||||
\(286\) | −5748.91 | −1.18860 | ||||||||
\(287\) | −2526.00 | − | 919.388i | −0.519530 | − | 0.189093i | ||||
\(288\) | −166.330 | − | 943.306i | −0.0340316 | − | 0.193003i | ||||
\(289\) | 2294.63 | + | 1925.42i | 0.467052 | + | 0.391904i | ||||
\(290\) | 1203.76 | − | 1010.08i | 0.243750 | − | 0.204531i | ||||
\(291\) | 1291.86 | − | 7326.51i | 0.260241 | − | 1.47590i | ||||
\(292\) | −2071.99 | + | 3588.80i | −0.415254 | + | 0.719242i | ||||
\(293\) | −1038.40 | − | 1798.56i | −0.207044 | − | 0.358611i | 0.743738 | − | 0.668471i | \(-0.233051\pi\) |
−0.950782 | + | 0.309860i | \(0.899718\pi\) | |||||||
\(294\) | 3858.22 | − | 1404.28i | 0.765360 | − | 0.278568i | ||||
\(295\) | −1289.50 | + | 469.339i | −0.254500 | + | 0.0926305i | ||||
\(296\) | −1370.17 | − | 2373.21i | −0.269053 | − | 0.466013i | ||||
\(297\) | −441.007 | + | 763.847i | −0.0861610 | + | 0.149235i | ||||
\(298\) | −274.886 | + | 1558.96i | −0.0534353 | + | 0.303047i | ||||
\(299\) | −4928.05 | + | 4135.12i | −0.953166 | + | 0.799801i | ||||
\(300\) | 2419.80 | + | 2030.46i | 0.465692 | + | 0.390762i | ||||
\(301\) | 296.397 | + | 1680.95i | 0.0567576 | + | 0.321888i | ||||
\(302\) | −841.353 | − | 306.227i | −0.160313 | − | 0.0583490i | ||||
\(303\) | 5604.73 | 1.06265 | ||||||||
\(304\) | 1283.44 | + | 329.684i | 0.242139 | + | 0.0621995i | ||||
\(305\) | −1494.60 | −0.280592 | ||||||||
\(306\) | 5002.79 | + | 1820.86i | 0.934608 | + | 0.340170i | ||||
\(307\) | 1088.00 | + | 6170.38i | 0.202266 | + | 1.14711i | 0.901684 | + | 0.432395i | \(0.142331\pi\) |
−0.699418 | + | 0.714713i | \(0.746557\pi\) | |||||||
\(308\) | 1028.46 | + | 862.978i | 0.190266 | + | 0.159652i | ||||
\(309\) | −1032.32 | + | 866.223i | −0.190055 | + | 0.159475i | ||||
\(310\) | 85.0222 | − | 482.185i | 0.0155772 | − | 0.0883428i | ||||
\(311\) | 5034.62 | − | 8720.21i | 0.917964 | − | 1.58996i | 0.115462 | − | 0.993312i | \(-0.463165\pi\) |
0.802502 | − | 0.596649i | \(-0.203501\pi\) | |||||||
\(312\) | 2176.83 | + | 3770.38i | 0.394996 | + | 0.684153i | ||||
\(313\) | 4244.92 | − | 1545.03i | 0.766572 | − | 0.279010i | 0.0710104 | − | 0.997476i | \(-0.477378\pi\) |
0.695562 | + | 0.718466i | \(0.255155\pi\) | |||||||
\(314\) | 3712.87 | − | 1351.37i | 0.667290 | − | 0.242874i | ||||
\(315\) | 568.443 | + | 984.573i | 0.101677 | + | 0.176109i | ||||
\(316\) | −211.037 | + | 365.527i | −0.0375689 | + | 0.0650712i | ||||
\(317\) | 1809.86 | − | 10264.2i | 0.320669 | − | 1.81860i | −0.217841 | − | 0.975984i | \(-0.569901\pi\) |
0.538510 | − | 0.842619i | \(-0.318987\pi\) | |||||||
\(318\) | −4892.13 | + | 4104.99i | −0.862696 | + | 0.723888i | ||||
\(319\) | 5318.85 | + | 4463.05i | 0.933538 | + | 0.783331i | ||||
\(320\) | 50.1207 | + | 284.248i | 0.00875572 | + | 0.0496562i | ||||
\(321\) | 428.169 | + | 155.841i | 0.0744488 | + | 0.0270971i | ||||
\(322\) | 1502.34 | 0.260007 | ||||||||
\(323\) | −5153.64 | + | 5261.55i | −0.887790 | + | 0.906379i | ||||
\(324\) | −2564.82 | −0.439784 | ||||||||
\(325\) | −7093.36 | − | 2581.77i | −1.21067 | − | 0.440649i | ||||
\(326\) | −378.132 | − | 2144.49i | −0.0642417 | − | 0.364333i | ||||
\(327\) | −1886.01 | − | 1582.55i | −0.318950 | − | 0.267631i | ||||
\(328\) | 1956.10 | − | 1641.37i | 0.329292 | − | 0.276309i | ||||
\(329\) | 142.272 | − | 806.862i | 0.0238410 | − | 0.135209i | ||||
\(330\) | 1356.19 | − | 2349.00i | 0.226230 | − | 0.391843i | ||||
\(331\) | 4107.72 | + | 7114.78i | 0.682117 | + | 1.18146i | 0.974334 | + | 0.225109i | \(0.0722737\pi\) |
−0.292217 | + | 0.956352i | \(0.594393\pi\) | |||||||
\(332\) | 3282.71 | − | 1194.81i | 0.542657 | − | 0.197511i | ||||
\(333\) | 9635.01 | − | 3506.86i | 1.58557 | − | 0.577101i | ||||
\(334\) | −2697.81 | − | 4672.74i | −0.441968 | − | 0.765512i | ||||
\(335\) | −2108.18 | + | 3651.48i | −0.343828 | + | 0.595527i | ||||
\(336\) | 176.552 | − | 1001.27i | 0.0286657 | − | 0.162571i | ||||
\(337\) | −5782.41 | + | 4852.02i | −0.934683 | + | 0.784292i | −0.976652 | − | 0.214827i | \(-0.931081\pi\) |
0.0419693 | + | 0.999119i | \(0.486637\pi\) | |||||||
\(338\) | −4603.82 | − | 3863.06i | −0.740872 | − | 0.621665i | ||||
\(339\) | −2608.89 | − | 14795.8i | −0.417981 | − | 2.37049i | ||||
\(340\) | −1507.50 | − | 548.685i | −0.240458 | − | 0.0875195i | ||||
\(341\) | 2163.41 | 0.343563 | ||||||||
\(342\) | −2048.70 | + | 4514.99i | −0.323921 | + | 0.713868i | ||||
\(343\) | 5179.97 | 0.815429 | ||||||||
\(344\) | −1523.63 | − | 554.556i | −0.238804 | − | 0.0869176i | ||||
\(345\) | −527.058 | − | 2989.09i | −0.0822488 | − | 0.466456i | ||||
\(346\) | −2179.33 | − | 1828.68i | −0.338618 | − | 0.284134i | ||||
\(347\) | −2487.27 | + | 2087.06i | −0.384794 | + | 0.322880i | −0.814581 | − | 0.580050i | \(-0.803033\pi\) |
0.429787 | + | 0.902930i | \(0.358589\pi\) | |||||||
\(348\) | 913.068 | − | 5178.27i | 0.140648 | − | 0.797656i | ||||
\(349\) | 2064.43 | − | 3575.69i | 0.316637 | − | 0.548431i | −0.663147 | − | 0.748489i | \(-0.730780\pi\) |
0.979784 | + | 0.200058i | \(0.0641131\pi\) | |||||||
\(350\) | 881.421 | + | 1526.67i | 0.134611 | + | 0.233154i | ||||
\(351\) | −1499.93 | + | 545.929i | −0.228092 | + | 0.0830187i | ||||
\(352\) | −1198.42 | + | 436.189i | −0.181466 | + | 0.0660482i | ||||
\(353\) | 3001.83 | + | 5199.32i | 0.452610 | + | 0.783943i | 0.998547 | − | 0.0538825i | \(-0.0171597\pi\) |
−0.545937 | + | 0.837826i | \(0.683826\pi\) | |||||||
\(354\) | −2295.89 | + | 3976.59i | −0.344704 | + | 0.597044i | ||||
\(355\) | 836.933 | − | 4746.48i | 0.125126 | − | 0.709625i | ||||
\(356\) | 487.710 | − | 409.238i | 0.0726084 | − | 0.0609257i | ||||
\(357\) | 4328.93 | + | 3632.40i | 0.641768 | + | 0.538508i | ||||
\(358\) | 341.782 | + | 1938.34i | 0.0504574 | + | 0.286158i | ||||
\(359\) | 7598.99 | + | 2765.81i | 1.11716 | + | 0.406612i | 0.833614 | − | 0.552347i | \(-0.186268\pi\) |
0.283543 | + | 0.958959i | \(0.408490\pi\) | |||||||
\(360\) | −1079.96 | −0.158108 | ||||||||
\(361\) | −4516.80 | − | 5161.82i | −0.658521 | − | 0.752562i | ||||
\(362\) | −1443.26 | −0.209548 | ||||||||
\(363\) | 1824.70 | + | 664.136i | 0.263834 | + | 0.0960278i | ||||
\(364\) | 421.902 | + | 2392.73i | 0.0607519 | + | 0.344541i | ||||
\(365\) | 3579.15 | + | 3003.26i | 0.513263 | + | 0.430679i | ||||
\(366\) | −3831.11 | + | 3214.68i | −0.547145 | + | 0.459109i | ||||
\(367\) | 1211.10 | − | 6868.52i | 0.172259 | − | 0.976931i | −0.769001 | − | 0.639248i | \(-0.779246\pi\) |
0.941260 | − | 0.337683i | \(-0.109643\pi\) | |||||||
\(368\) | −713.557 | + | 1235.92i | −0.101078 | + | 0.175072i | ||||
\(369\) | 4777.15 | + | 8274.27i | 0.673953 | + | 1.16732i | ||||
\(370\) | −2903.34 | + | 1056.73i | −0.407939 | + | 0.148478i | ||||
\(371\) | −3349.02 | + | 1218.94i | −0.468659 | + | 0.170578i | ||||
\(372\) | −819.177 | − | 1418.86i | −0.114173 | − | 0.197753i | ||||
\(373\) | −503.952 | + | 872.870i | −0.0699561 | + | 0.121168i | −0.898882 | − | 0.438191i | \(-0.855619\pi\) |
0.828926 | + | 0.559359i | \(0.188953\pi\) | |||||||
\(374\) | 1230.89 | − | 6980.71i | 0.170181 | − | 0.965144i | ||||
\(375\) | 5986.73 | − | 5023.47i | 0.824409 | − | 0.691762i | ||||
\(376\) | 596.201 | + | 500.272i | 0.0817731 | + | 0.0686158i | ||||
\(377\) | 2181.94 | + | 12374.4i | 0.298079 | + | 1.69049i | ||||
\(378\) | 350.282 | + | 127.492i | 0.0476629 | + | 0.0173479i | ||||
\(379\) | −8901.68 | −1.20646 | −0.603230 | − | 0.797567i | \(-0.706120\pi\) | ||||
−0.603230 | + | 0.797567i | \(0.706120\pi\) | |||||||
\(380\) | 617.339 | − | 1360.51i | 0.0833390 | − | 0.183665i | ||||
\(381\) | −18410.7 | −2.47561 | ||||||||
\(382\) | 3895.78 | + | 1417.95i | 0.521794 | + | 0.189918i | ||||
\(383\) | 114.417 | + | 648.888i | 0.0152648 | + | 0.0865709i | 0.991488 | − | 0.130195i | \(-0.0415603\pi\) |
−0.976224 | + | 0.216766i | \(0.930449\pi\) | |||||||
\(384\) | 739.854 | + | 620.811i | 0.0983217 | + | 0.0825017i | ||||
\(385\) | 1159.56 | − | 972.986i | 0.153498 | − | 0.128800i | ||||
\(386\) | −1608.26 | + | 9120.89i | −0.212068 | + | 1.20270i | ||||
\(387\) | 3033.37 | − | 5253.95i | 0.398436 | − | 0.690111i | ||||
\(388\) | 1971.94 | + | 3415.50i | 0.258015 | + | 0.446896i | ||||
\(389\) | 1658.98 | − | 603.821i | 0.216231 | − | 0.0787016i | −0.231633 | − | 0.972803i | \(-0.574407\pi\) |
0.447864 | + | 0.894102i | \(0.352185\pi\) | |||||||
\(390\) | 4612.61 | − | 1678.85i | 0.598894 | − | 0.217980i | ||||
\(391\) | −3966.01 | − | 6869.33i | −0.512966 | − | 0.888484i | ||||
\(392\) | −1088.30 | + | 1884.99i | −0.140223 | + | 0.242874i | ||||
\(393\) | 604.662 | − | 3429.21i | 0.0776111 | − | 0.440154i | ||||
\(394\) | −3930.95 | + | 3298.46i | −0.502636 | + | 0.421761i | ||||
\(395\) | 364.544 | + | 305.888i | 0.0464359 | + | 0.0389643i | ||||
\(396\) | −828.618 | − | 4699.33i | −0.105151 | − | 0.596338i | ||||
\(397\) | 14003.2 | + | 5096.74i | 1.77028 | + | 0.644327i | 0.999978 | + | 0.00664239i | \(0.00211436\pi\) |
0.770297 | + | 0.637685i | \(0.220108\pi\) | |||||||
\(398\) | −2037.38 | −0.256594 | ||||||||
\(399\) | −3682.57 | + | 3759.67i | −0.462053 | + | 0.471727i | ||||
\(400\) | −1674.57 | −0.209322 | ||||||||
\(401\) | −3369.54 | − | 1226.41i | −0.419618 | − | 0.152729i | 0.123577 | − | 0.992335i | \(-0.460563\pi\) |
−0.543195 | + | 0.839606i | \(0.682786\pi\) | |||||||
\(402\) | 2449.93 | + | 13894.3i | 0.303959 | + | 1.72384i | ||||
\(403\) | 2999.17 | + | 2516.61i | 0.370718 | + | 0.311070i | ||||
\(404\) | −2276.07 | + | 1909.85i | −0.280294 | + | 0.235195i | ||||
\(405\) | −502.150 | + | 2847.84i | −0.0616100 | + | 0.349408i | ||||
\(406\) | 1467.20 | − | 2541.27i | 0.179350 | − | 0.310643i | ||||
\(407\) | −6825.87 | − | 11822.8i | −0.831317 | − | 1.43988i | ||||
\(408\) | −5044.32 | + | 1835.98i | −0.612087 | + | 0.222781i | ||||
\(409\) | −3749.86 | + | 1364.84i | −0.453347 | + | 0.165005i | −0.558594 | − | 0.829441i | \(-0.688659\pi\) |
0.105247 | + | 0.994446i | \(0.466437\pi\) | |||||||
\(410\) | −1439.51 | − | 2493.30i | −0.173396 | − | 0.300330i | ||||
\(411\) | −585.954 | + | 1014.90i | −0.0703236 | + | 0.121804i | ||||
\(412\) | 124.054 | − | 703.545i | 0.0148342 | − | 0.0841290i | ||||
\(413\) | −1963.01 | + | 1647.16i | −0.233882 | + | 0.196250i | ||||
\(414\) | −4090.48 | − | 3432.32i | −0.485594 | − | 0.407462i | ||||
\(415\) | −683.948 | − | 3878.86i | −0.0809005 | − | 0.458810i | ||||
\(416\) | −2168.79 | − | 789.376i | −0.255610 | − | 0.0930345i | ||||
\(417\) | −139.284 | −0.0163567 | ||||||||
\(418\) | 6393.78 | + | 1642.41i | 0.748158 | + | 0.192183i | ||||
\(419\) | −7662.91 | −0.893455 | −0.446728 | − | 0.894670i | \(-0.647411\pi\) | ||||
−0.446728 | + | 0.894670i | \(0.647411\pi\) | |||||||
\(420\) | −1077.19 | − | 392.067i | −0.125147 | − | 0.0455498i | ||||
\(421\) | −1167.98 | − | 6623.97i | −0.135212 | − | 0.766823i | −0.974712 | − | 0.223464i | \(-0.928263\pi\) |
0.839501 | − | 0.543359i | \(-0.182848\pi\) | |||||||
\(422\) | 3384.05 | + | 2839.56i | 0.390363 | + | 0.327553i | ||||
\(423\) | −2230.76 | + | 1871.83i | −0.256415 | + | 0.215157i | ||||
\(424\) | 587.885 | − | 3334.06i | 0.0673354 | − | 0.381878i | ||||
\(425\) | 4653.71 | − | 8060.46i | 0.531148 | − | 0.919976i | ||||
\(426\) | −8063.73 | − | 13966.8i | −0.917110 | − | 1.58848i | ||||
\(427\) | −2622.67 | + | 954.573i | −0.297236 | + | 0.108185i | ||||
\(428\) | −226.983 | + | 82.6150i | −0.0256346 | + | 0.00933025i | ||||
\(429\) | 10844.4 | + | 18783.1i | 1.22045 | + | 2.11389i | ||||
\(430\) | −914.051 | + | 1583.18i | −0.102510 | + | 0.177553i | ||||
\(431\) | −2854.31 | + | 16187.6i | −0.318996 | + | 1.80912i | 0.229889 | + | 0.973217i | \(0.426164\pi\) |
−0.548884 | + | 0.835898i | \(0.684947\pi\) | |||||||
\(432\) | −271.254 | + | 227.609i | −0.0302100 | + | 0.0253492i | ||||
\(433\) | 2205.35 | + | 1850.51i | 0.244763 | + | 0.205381i | 0.756913 | − | 0.653515i | \(-0.226706\pi\) |
−0.512150 | + | 0.858896i | \(0.671151\pi\) | |||||||
\(434\) | −158.769 | − | 900.422i | −0.0175602 | − | 0.0995891i | ||||
\(435\) | −5570.90 | − | 2027.64i | −0.614033 | − | 0.223490i | ||||
\(436\) | 1305.17 | 0.143363 | ||||||||
\(437\) | 6662.21 | − | 3191.08i | 0.729283 | − | 0.349314i | ||||
\(438\) | 15634.0 | 1.70553 | ||||||||
\(439\) | −4098.23 | − | 1491.63i | −0.445553 | − | 0.162168i | 0.109493 | − | 0.993988i | \(-0.465077\pi\) |
−0.555046 | + | 0.831819i | \(0.687299\pi\) | |||||||
\(440\) | 249.689 | + | 1416.06i | 0.0270533 | + | 0.153427i | ||||
\(441\) | −6238.70 | − | 5234.89i | −0.673652 | − | 0.565262i | ||||
\(442\) | 9826.78 | − | 8245.65i | 1.05749 | − | 0.887343i | ||||
\(443\) | −2563.65 | + | 14539.2i | −0.274949 | + | 1.55932i | 0.464173 | + | 0.885745i | \(0.346352\pi\) |
−0.739122 | + | 0.673571i | \(0.764759\pi\) | |||||||
\(444\) | −5169.25 | + | 8953.40i | −0.552526 | + | 0.957004i | ||||
\(445\) | −358.909 | − | 621.649i | −0.0382336 | − | 0.0662225i | ||||
\(446\) | 10844.5 | − | 3947.08i | 1.15135 | − | 0.419057i | ||||
\(447\) | 5612.04 | − | 2042.62i | 0.593826 | − | 0.216135i | ||||
\(448\) | 269.494 | + | 466.778i | 0.0284205 | + | 0.0492258i | ||||
\(449\) | 4094.23 | − | 7091.41i | 0.430331 | − | 0.745355i | −0.566571 | − | 0.824013i | \(-0.691730\pi\) |
0.996902 | + | 0.0786581i | \(0.0250635\pi\) | |||||||
\(450\) | 1088.02 | − | 6170.45i | 0.113977 | − | 0.646395i | ||||
\(451\) | 9744.84 | − | 8176.89i | 1.01744 | − | 0.853736i | ||||
\(452\) | 6101.23 | + | 5119.54i | 0.634906 | + | 0.532750i | ||||
\(453\) | 586.563 | + | 3326.56i | 0.0608369 | + | 0.345023i | ||||
\(454\) | −8324.22 | − | 3029.77i | −0.860518 | − | 0.313203i | ||||
\(455\) | 2739.36 | 0.282248 | ||||||||
\(456\) | −1343.85 | − | 4815.22i | −0.138008 | − | 0.494503i | ||||
\(457\) | 7478.89 | 0.765531 | 0.382766 | − | 0.923845i | \(-0.374972\pi\) | ||||
0.382766 | + | 0.923845i | \(0.374972\pi\) | |||||||
\(458\) | −1653.91 | − | 601.974i | −0.168738 | − | 0.0614157i | ||||
\(459\) | −341.757 | − | 1938.20i | −0.0347535 | − | 0.197097i | ||||
\(460\) | 1232.59 | + | 1034.27i | 0.124935 | + | 0.104833i | ||||
\(461\) | 4474.16 | − | 3754.27i | 0.452023 | − | 0.379292i | −0.388163 | − | 0.921591i | \(-0.626890\pi\) |
0.840186 | + | 0.542299i | \(0.182446\pi\) | |||||||
\(462\) | 879.539 | − | 4988.11i | 0.0885711 | − | 0.502312i | ||||
\(463\) | −5781.86 | + | 10014.5i | −0.580358 | + | 1.00521i | 0.415079 | + | 0.909785i | \(0.363754\pi\) |
−0.995437 | + | 0.0954239i | \(0.969579\pi\) | |||||||
\(464\) | 1393.74 | + | 2414.02i | 0.139445 | + | 0.241526i | ||||
\(465\) | −1735.80 | + | 631.780i | −0.173109 | + | 0.0630067i | ||||
\(466\) | −718.908 | + | 261.661i | −0.0714652 | + | 0.0260112i | ||||
\(467\) | −3611.87 | − | 6255.94i | −0.357896 | − | 0.619894i | 0.629713 | − | 0.776828i | \(-0.283172\pi\) |
−0.987609 | + | 0.156934i | \(0.949839\pi\) | |||||||
\(468\) | 4317.81 | − | 7478.66i | 0.426476 | − | 0.738678i | ||||
\(469\) | −1367.23 | + | 7753.94i | −0.134611 | + | 0.763419i | ||||
\(470\) | 672.201 | − | 564.044i | 0.0659709 | − | 0.0553562i | ||||
\(471\) | −11419.0 | − | 9581.71i | −1.11712 | − | 0.937372i | ||||
\(472\) | −422.697 | − | 2397.23i | −0.0412207 | − | 0.233774i | ||||
\(473\) | −7590.37 | − | 2762.67i | −0.737855 | − | 0.268557i | ||||
\(474\) | 1592.36 | 0.154303 | ||||||||
\(475\) | 7151.47 | + | 4897.88i | 0.690804 | + | 0.473116i | ||||
\(476\) | −2995.74 | −0.288466 | ||||||||
\(477\) | 11903.3 | + | 4332.46i | 1.14259 | + | 0.415870i | ||||
\(478\) | −1061.04 | − | 6017.44i | −0.101529 | − | 0.575797i | ||||
\(479\) | 3395.13 | + | 2848.86i | 0.323857 | + | 0.271749i | 0.790191 | − | 0.612860i | \(-0.209981\pi\) |
−0.466334 | + | 0.884609i | \(0.654426\pi\) | |||||||
\(480\) | 834.167 | − | 699.949i | 0.0793215 | − | 0.0665587i | ||||
\(481\) | 4290.10 | − | 24330.4i | 0.406677 | − | 2.30638i | ||||
\(482\) | −54.0229 | + | 93.5703i | −0.00510513 | + | 0.00884235i | ||||
\(483\) | −2833.94 | − | 4908.53i | −0.266975 | − | 0.462414i | ||||
\(484\) | −967.317 | + | 352.075i | −0.0908449 | + | 0.0330648i | ||||
\(485\) | 4178.46 | − | 1520.83i | 0.391204 | − | 0.142387i | ||||
\(486\) | 5435.68 | + | 9414.88i | 0.507341 | + | 0.878740i | ||||
\(487\) | 307.423 | − | 532.473i | 0.0286051 | − | 0.0495455i | −0.851368 | − | 0.524568i | \(-0.824227\pi\) |
0.879974 | + | 0.475023i | \(0.157560\pi\) | |||||||
\(488\) | 460.382 | − | 2610.95i | 0.0427060 | − | 0.242197i | ||||
\(489\) | −6293.31 | + | 5280.71i | −0.581990 | + | 0.488348i | ||||
\(490\) | 1879.92 | + | 1577.44i | 0.173319 | + | 0.145432i | ||||
\(491\) | −1520.38 | − | 8622.53i | −0.139743 | − | 0.792524i | −0.971439 | − | 0.237291i | \(-0.923740\pi\) |
0.831695 | − | 0.555232i | \(-0.187371\pi\) | |||||||
\(492\) | −9052.65 | − | 3294.90i | −0.829523 | − | 0.301922i | ||||
\(493\) | −15493.0 | −1.41536 | ||||||||
\(494\) | 6953.28 | + | 9714.53i | 0.633285 | + | 0.884772i | ||||
\(495\) | −5380.11 | −0.488521 | ||||||||
\(496\) | 816.152 | + | 297.055i | 0.0738837 | + | 0.0268915i | ||||
\(497\) | −1562.87 | − | 8863.48i | −0.141055 | − | 0.799963i | ||||
\(498\) | −10096.1 | − | 8471.61i | −0.908466 | − | 0.762293i | ||||
\(499\) | 9102.01 | − | 7637.49i | 0.816557 | − | 0.685172i | −0.135606 | − | 0.990763i | \(-0.543298\pi\) |
0.952163 | + | 0.305590i | \(0.0988538\pi\) | |||||||
\(500\) | −719.422 | + | 4080.05i | −0.0643471 | + | 0.364930i | ||||
\(501\) | −10178.0 | + | 17628.8i | −0.907625 | + | 1.57205i | ||||
\(502\) | 4405.89 | + | 7631.23i | 0.391722 | + | 0.678483i | ||||
\(503\) | −8898.72 | + | 3238.87i | −0.788816 | + | 0.287106i | −0.704844 | − | 0.709363i | \(-0.748983\pi\) |
−0.0839722 | + | 0.996468i | \(0.526761\pi\) | |||||||
\(504\) | −1895.07 | + | 689.751i | −0.167487 | + | 0.0609602i | ||||
\(505\) | 1674.98 | + | 2901.15i | 0.147595 | + | 0.255642i | ||||
\(506\) | −3554.77 | + | 6157.05i | −0.312310 | + | 0.540937i | ||||
\(507\) | −3937.19 | + | 22328.9i | −0.344885 | + | 1.95594i | ||||
\(508\) | 7476.55 | − | 6273.57i | 0.652988 | − | 0.547922i | ||||
\(509\) | −1561.50 | − | 1310.25i | −0.135977 | − | 0.114098i | 0.572263 | − | 0.820070i | \(-0.306066\pi\) |
−0.708239 | + | 0.705972i | \(0.750510\pi\) | |||||||
\(510\) | 1050.98 | + | 5960.40i | 0.0912513 | + | 0.517512i | ||||
\(511\) | 8198.68 | + | 2984.08i | 0.709762 | + | 0.258332i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 1824.15 | − | 178.654i | 0.156994 | − | 0.0153757i | ||||
\(514\) | 2852.93 | 0.244820 | ||||||||
\(515\) | −756.890 | − | 275.485i | −0.0647622 | − | 0.0235715i | ||||
\(516\) | 1062.22 | + | 6024.18i | 0.0906237 | + | 0.513953i | ||||
\(517\) | 2970.13 | + | 2492.23i | 0.252662 | + | 0.212008i | ||||
\(518\) | −4419.76 | + | 3708.62i | −0.374890 | + | 0.314570i | ||||
\(519\) | −1863.77 | + | 10570.0i | −0.157631 | + | 0.893969i | ||||
\(520\) | −1301.09 | + | 2253.56i | −0.109725 | + | 0.190049i | ||||
\(521\) | −4264.50 | − | 7386.33i | −0.358601 | − | 0.621115i | 0.629127 | − | 0.777303i | \(-0.283413\pi\) |
−0.987727 | + | 0.156188i | \(0.950079\pi\) | |||||||
\(522\) | −9800.71 | + | 3567.17i | −0.821773 | + | 0.299101i | ||||
\(523\) | −17329.0 | + | 6307.25i | −1.44884 | + | 0.527336i | −0.942268 | − | 0.334859i | \(-0.891311\pi\) |
−0.506576 | + | 0.862195i | \(0.669089\pi\) | |||||||
\(524\) | 922.975 | + | 1598.64i | 0.0769472 | + | 0.133277i | ||||
\(525\) | 3325.34 | − | 5759.65i | 0.276437 | − | 0.478804i | ||||
\(526\) | −158.244 | + | 897.448i | −0.0131175 | + | 0.0743928i | ||||
\(527\) | −3697.98 | + | 3102.97i | −0.305667 | + | 0.256485i | ||||
\(528\) | 3685.78 | + | 3092.74i | 0.303793 | + | 0.254913i | ||||
\(529\) | −731.286 | − | 4147.33i | −0.0601041 | − | 0.340867i | ||||
\(530\) | −3586.86 | − | 1305.51i | −0.293969 | − | 0.106996i | ||||
\(531\) | 9107.93 | 0.744351 | ||||||||
\(532\) | 214.349 | − | 2781.66i | 0.0174685 | − | 0.226692i | ||||
\(533\) | 23021.3 | 1.87085 | ||||||||
\(534\) | −2257.08 | − | 821.508i | −0.182909 | − | 0.0665733i | ||||
\(535\) | 47.2916 | + | 268.204i | 0.00382167 | + | 0.0216738i | ||||
\(536\) | −5729.48 | − | 4807.61i | −0.461709 | − | 0.387420i | ||||
\(537\) | 5688.34 | − | 4773.08i | 0.457113 | − | 0.383564i | ||||
\(538\) | −2715.18 | + | 15398.5i | −0.217583 | + | 1.23397i | ||||
\(539\) | −5421.65 | + | 9390.58i | −0.433260 | + | 0.750428i | ||||
\(540\) | 199.618 | + | 345.748i | 0.0159077 | + | 0.0275530i | ||||
\(541\) | −3519.32 | + | 1280.93i | −0.279681 | + | 0.101795i | −0.478052 | − | 0.878331i | \(-0.658657\pi\) |
0.198371 | + | 0.980127i | \(0.436435\pi\) | |||||||
\(542\) | −7980.65 | + | 2904.72i | −0.632469 | + | 0.230200i | ||||
\(543\) | 2722.50 | + | 4715.51i | 0.215163 | + | 0.372674i | ||||
\(544\) | 1422.87 | − | 2464.48i | 0.112142 | − | 0.194235i | ||||
\(545\) | 255.532 | − | 1449.19i | 0.0200840 | − | 0.113902i | ||||
\(546\) | 7021.79 | − | 5891.98i | 0.550375 | − | 0.461820i | ||||
\(547\) | −1705.45 | − | 1431.05i | −0.133309 | − | 0.111859i | 0.573695 | − | 0.819069i | \(-0.305509\pi\) |
−0.707004 | + | 0.707209i | \(0.749954\pi\) | |||||||
\(548\) | −107.880 | − | 611.819i | −0.00840951 | − | 0.0476927i | ||||
\(549\) | 9321.69 | + | 3392.82i | 0.724663 | + | 0.263756i | ||||
\(550\) | −8342.33 | −0.646760 | ||||||||
\(551\) | 1108.55 | − | 14385.9i | 0.0857090 | − | 1.11227i | ||||
\(552\) | 5384.08 | 0.415148 | ||||||||
\(553\) | 835.053 | + | 303.934i | 0.0642135 | + | 0.0233718i | ||||
\(554\) | −2019.52 | − | 11453.3i | −0.154876 | − | 0.878345i | ||||
\(555\) | 8929.31 | + | 7492.58i | 0.682934 | + | 0.573050i | ||||
\(556\) | 56.5629 | − | 47.4619i | 0.00431439 | − | 0.00362020i | ||||
\(557\) | −3517.50 | + | 19948.7i | −0.267578 | + | 1.51751i | 0.494013 | + | 0.869455i | \(0.335530\pi\) |
−0.761591 | + | 0.648058i | \(0.775582\pi\) | |||||||
\(558\) | −1624.86 | + | 2814.34i | −0.123272 | + | 0.213514i | ||||
\(559\) | −7308.97 | − | 12659.5i | −0.553017 | − | 0.957853i | ||||
\(560\) | 571.047 | − | 207.844i | 0.0430913 | − | 0.0156840i | ||||
\(561\) | −25129.6 | + | 9146.44i | −1.89122 | + | 0.688347i | ||||
\(562\) | −3441.45 | − | 5960.76i | −0.258307 | − | 0.447402i | ||||
\(563\) | 9094.51 | − | 15752.2i | 0.680796 | − | 1.17917i | −0.293943 | − | 0.955823i | \(-0.594967\pi\) |
0.974738 | − | 0.223350i | \(-0.0716992\pi\) | |||||||
\(564\) | 509.872 | − | 2891.63i | 0.0380664 | − | 0.215885i | ||||
\(565\) | 6878.98 | − | 5772.15i | 0.512214 | − | 0.429799i | ||||
\(566\) | −5145.99 | − | 4318.00i | −0.382159 | − | 0.320670i | ||||
\(567\) | 937.705 | + | 5317.99i | 0.0694531 | + | 0.393888i | ||||
\(568\) | 8033.95 | + | 2924.12i | 0.593481 | + | 0.216009i | ||||
\(569\) | 9347.59 | 0.688702 | 0.344351 | − | 0.938841i | \(-0.388099\pi\) | ||||
0.344351 | + | 0.938841i | \(0.388099\pi\) | |||||||
\(570\) | −5609.66 | + | 549.400i | −0.412215 | + | 0.0403716i | ||||
\(571\) | 7376.50 | 0.540625 | 0.270313 | − | 0.962773i | \(-0.412873\pi\) | ||||
0.270313 | + | 0.962773i | \(0.412873\pi\) | |||||||
\(572\) | −10804.4 | − | 3932.48i | −0.789782 | − | 0.287457i | ||||
\(573\) | −2716.01 | − | 15403.2i | −0.198015 | − | 1.12300i | ||||
\(574\) | −4118.43 | − | 3455.77i | −0.299477 | − | 0.251291i | ||||
\(575\) | −7151.17 | + | 6000.54i | −0.518651 | + | 0.435200i | ||||
\(576\) | 332.661 | − | 1886.61i | 0.0240640 | − | 0.136474i | ||||
\(577\) | −1562.37 | + | 2706.10i | −0.112725 | + | 0.195245i | −0.916868 | − | 0.399190i | \(-0.869291\pi\) |
0.804143 | + | 0.594436i | \(0.202625\pi\) | |||||||
\(578\) | 2995.42 | + | 5188.23i | 0.215559 | + | 0.373360i | ||||
\(579\) | 32834.0 | − | 11950.6i | 2.35671 | − | 0.857772i | ||||
\(580\) | 2953.27 | − | 1074.90i | 0.211427 | − | 0.0769533i | ||||
\(581\) | −3677.53 | − | 6369.66i | −0.262598 | − | 0.454833i | ||||
\(582\) | 7439.53 | − | 12885.6i | 0.529860 | − | 0.917744i | ||||
\(583\) | 2928.70 | − | 16609.5i | 0.208052 | − | 1.17992i | ||||
\(584\) | −6348.96 | + | 5327.41i | −0.449866 | + | 0.377483i | ||||
\(585\) | −7458.54 | − | 6258.46i | −0.527133 | − | 0.442317i | ||||
\(586\) | −721.264 | − | 4090.49i | −0.0508450 | − | 0.288356i | ||||
\(587\) | −3541.08 | − | 1288.85i | −0.248988 | − | 0.0906243i | 0.214511 | − | 0.976722i | \(-0.431184\pi\) |
−0.463499 | + | 0.886097i | \(0.653406\pi\) | |||||||
\(588\) | 8211.66 | 0.575924 | ||||||||
\(589\) | −2616.63 | − | 3655.74i | −0.183050 | − | 0.255742i | ||||
\(590\) | −2744.51 | −0.191508 | ||||||||
\(591\) | 18192.0 | + | 6621.36i | 1.26619 | + | 0.460857i | ||||
\(592\) | −951.712 | − | 5397.42i | −0.0660728 | − | 0.374718i | ||||
\(593\) | −9391.21 | − | 7880.16i | −0.650338 | − | 0.545699i | 0.256835 | − | 0.966455i | \(-0.417320\pi\) |
−0.907174 | + | 0.420756i | \(0.861765\pi\) | |||||||
\(594\) | −1351.32 | + | 1133.90i | −0.0933426 | + | 0.0783237i | ||||
\(595\) | −586.518 | + | 3326.31i | −0.0404116 | + | 0.229186i | ||||
\(596\) | −1583.01 | + | 2741.85i | −0.108796 | + | 0.188440i | ||||
\(597\) | 3843.21 | + | 6656.63i | 0.263471 | + | 0.456344i | ||||
\(598\) | −12090.3 | + | 4400.51i | −0.826771 | + | 0.300920i | ||||
\(599\) | 15096.1 | − | 5494.54i | 1.02973 | − | 0.374793i | 0.228754 | − | 0.973484i | \(-0.426535\pi\) |
0.800980 | + | 0.598692i | \(0.204313\pi\) | |||||||
\(600\) | 3158.83 | + | 5471.26i | 0.214931 | + | 0.372272i | ||||
\(601\) | −6828.80 | + | 11827.8i | −0.463482 | + | 0.802774i | −0.999132 | − | 0.0416663i | \(-0.986733\pi\) |
0.535650 | + | 0.844440i | \(0.320067\pi\) | |||||||
\(602\) | −592.794 | + | 3361.90i | −0.0401337 | + | 0.227609i | ||||
\(603\) | 21437.6 | − | 17988.3i | 1.44777 | − | 1.21483i | ||||
\(604\) | −1371.75 | − | 1151.04i | −0.0924104 | − | 0.0775415i | ||||
\(605\) | 201.539 | + | 1142.99i | 0.0135434 | + | 0.0768083i | ||||
\(606\) | 10533.5 | + | 3833.86i | 0.706093 | + | 0.256997i | ||||
\(607\) | 1082.03 | 0.0723531 | 0.0361765 | − | 0.999345i | \(-0.488482\pi\) | ||||
0.0361765 | + | 0.999345i | \(0.488482\pi\) | |||||||
\(608\) | 2186.56 | + | 1497.53i | 0.145850 | + | 0.0998893i | ||||
\(609\) | −11070.6 | −0.736625 | ||||||||
\(610\) | −2808.93 | − | 1022.37i | −0.186443 | − | 0.0678596i | ||||
\(611\) | 1218.43 | + | 6910.06i | 0.0806750 | + | 0.457531i | ||||
\(612\) | 8156.62 | + | 6844.21i | 0.538745 | + | 0.452060i | ||||
\(613\) | −14039.0 | + | 11780.1i | −0.925009 | + | 0.776175i | −0.974915 | − | 0.222579i | \(-0.928552\pi\) |
0.0499056 | + | 0.998754i | \(0.484108\pi\) | |||||||
\(614\) | −2176.01 | + | 12340.8i | −0.143024 | + | 0.811128i | ||||
\(615\) | −5430.84 | + | 9406.49i | −0.356085 | + | 0.616758i | ||||
\(616\) | 1342.56 | + | 2325.38i | 0.0878135 | + | 0.152097i | ||||
\(617\) | 7856.13 | − | 2859.40i | 0.512603 | − | 0.186572i | −0.0727511 | − | 0.997350i | \(-0.523178\pi\) |
0.585354 | + | 0.810778i | \(0.300956\pi\) | |||||||
\(618\) | −2532.67 | + | 921.816i | −0.164852 | + | 0.0600014i | ||||
\(619\) | −5076.06 | − | 8792.00i | −0.329603 | − | 0.570889i | 0.652830 | − | 0.757504i | \(-0.273582\pi\) |
−0.982433 | + | 0.186615i | \(0.940248\pi\) | |||||||
\(620\) | 489.623 | − | 848.053i | 0.0317157 | − | 0.0549332i | ||||
\(621\) | −342.777 | + | 1943.98i | −0.0221500 | + | 0.125619i | ||||
\(622\) | 15427.0 | − | 12944.8i | 0.994477 | − | 0.834465i | ||||
\(623\) | −1026.84 | − | 861.618i | −0.0660343 | − | 0.0554093i | ||||
\(624\) | 1512.01 | + | 8575.04i | 0.0970014 | + | 0.550122i | ||||
\(625\) | −7904.21 | − | 2876.90i | −0.505870 | − | 0.184122i | ||||
\(626\) | 9034.70 | 0.576836 | ||||||||
\(627\) | −6694.76 | − | 23988.3i | −0.426416 | − | 1.52791i | ||||
\(628\) | 7902.30 | 0.502127 | ||||||||
\(629\) | 28625.0 | + | 10418.7i | 1.81455 | + | 0.660444i | ||||
\(630\) | 394.837 | + | 2239.23i | 0.0249693 | + | 0.141608i | ||||
\(631\) | 17327.4 | + | 14539.4i | 1.09318 | + | 0.917284i | 0.996947 | − | 0.0780755i | \(-0.0248775\pi\) |
0.0962288 | + | 0.995359i | \(0.469322\pi\) | |||||||
\(632\) | −646.655 | + | 542.608i | −0.0407002 | + | 0.0341516i | ||||
\(633\) | 2894.05 | − | 16413.0i | 0.181719 | − | 1.03058i | ||||
\(634\) | 10422.6 | − | 18052.4i | 0.652892 | − | 1.13084i | ||||
\(635\) | −5502.04 | − | 9529.81i | −0.343845 | − | 0.595558i | ||||
\(636\) | −12002.2 | + | 4368.44i | −0.748298 | + | 0.272358i | ||||
\(637\) | −18439.8 | + | 6711.55i | −1.14696 | + | 0.417459i | ||||
\(638\) | 6943.27 | + | 12026.1i | 0.430857 | + | 0.746266i | ||||
\(639\) | −15994.6 | + | 27703.5i | −0.990201 | + | 1.71508i | ||||
\(640\) | −100.241 | + | 568.497i | −0.00619123 | + | 0.0351122i | ||||
\(641\) | −21895.8 | + | 18372.8i | −1.34919 | + | 1.13211i | −0.370033 | + | 0.929018i | \(0.620654\pi\) |
−0.979160 | + | 0.203089i | \(0.934902\pi\) | |||||||
\(642\) | 698.093 | + | 585.770i | 0.0429152 | + | 0.0360101i | ||||
\(643\) | 3385.39 | + | 19199.5i | 0.207631 | + | 1.17753i | 0.893246 | + | 0.449569i | \(0.148422\pi\) |
−0.685615 | + | 0.727965i | \(0.740466\pi\) | |||||||
\(644\) | 2823.48 | + | 1027.66i | 0.172765 | + | 0.0628813i | ||||
\(645\) | 6896.88 | 0.421030 | ||||||||
\(646\) | −13284.8 | + | 6363.18i | −0.809107 | + | 0.387548i | ||||
\(647\) | −4366.69 | −0.265336 | −0.132668 | − | 0.991161i | \(-0.542354\pi\) | ||||
−0.132668 | + | 0.991161i | \(0.542354\pi\) | |||||||
\(648\) | −4820.28 | − | 1754.44i | −0.292220 | − | 0.106359i | ||||
\(649\) | −2105.77 | − | 11942.4i | −0.127363 | − | 0.722314i | ||||
\(650\) | −11565.1 | − | 9704.29i | −0.697879 | − | 0.585590i | ||||
\(651\) | −2642.42 | + | 2217.25i | −0.159085 | + | 0.133488i | ||||
\(652\) | 756.263 | − | 4288.98i | 0.0454257 | − | 0.257622i | ||||
\(653\) | −4504.04 | + | 7801.23i | −0.269918 | + | 0.467512i | −0.968841 | − | 0.247685i | \(-0.920330\pi\) |
0.698922 | + | 0.715198i | \(0.253663\pi\) | |||||||
\(654\) | −2462.01 | − | 4264.33i | −0.147205 | − | 0.254967i | ||||
\(655\) | 1955.75 | − | 711.833i | 0.116668 | − | 0.0424636i | ||||
\(656\) | 4799.03 | − | 1746.70i | 0.285626 | − | 0.103959i | ||||
\(657\) | −15505.3 | − | 26855.9i | −0.920729 | − | 1.59475i | ||||
\(658\) | 819.309 | − | 1419.09i | 0.0485410 | − | 0.0840755i | ||||
\(659\) | 505.240 | − | 2865.36i | 0.0298655 | − | 0.169376i | −0.966227 | − | 0.257693i | \(-0.917038\pi\) |
0.996092 | + | 0.0883171i | \(0.0281489\pi\) | |||||||
\(660\) | 4155.62 | − | 3486.98i | 0.245087 | − | 0.205652i | ||||
\(661\) | 4846.58 | + | 4066.76i | 0.285189 | + | 0.239302i | 0.774148 | − | 0.633005i | \(-0.218179\pi\) |
−0.488959 | + | 0.872307i | \(0.662623\pi\) | |||||||
\(662\) | 2853.19 | + | 16181.3i | 0.167511 | + | 0.950003i | ||||
\(663\) | −45477.4 | − | 16552.4i | −2.66394 | − | 0.969596i | ||||
\(664\) | 6986.77 | 0.408342 | ||||||||
\(665\) | −3046.64 | − | 782.607i | −0.177660 | − | 0.0456364i | ||||
\(666\) | 20506.7 | 1.19312 | ||||||||
\(667\) | 14602.1 | + | 5314.73i | 0.847670 | + | 0.308527i | ||||
\(668\) | −1873.88 | − | 10627.3i | −0.108537 | − | 0.615542i | ||||
\(669\) | −33352.6 | − | 27986.2i | −1.92749 | − | 1.61735i | ||||
\(670\) | −6459.85 | + | 5420.46i | −0.372486 | + | 0.312553i | ||||
\(671\) | 2293.51 | − | 13007.2i | 0.131952 | − | 0.748339i | ||||
\(672\) | 1016.72 | − | 1761.01i | 0.0583644 | − | 0.101090i | ||||
\(673\) | 15112.3 | + | 26175.3i | 0.865584 | + | 1.49924i | 0.866466 | + | 0.499236i | \(0.166386\pi\) |
−0.000882392 | 1.00000i | \(0.500281\pi\) | ||||||||
\(674\) | −14186.4 | + | 5163.41i | −0.810739 | + | 0.295085i | ||||
\(675\) | −2176.57 | + | 792.206i | −0.124113 | + | 0.0451734i | ||||
\(676\) | −6009.86 | − | 10409.4i | −0.341936 | − | 0.592250i | ||||
\(677\) | −9639.73 | + | 16696.5i | −0.547245 | + | 0.947856i | 0.451217 | + | 0.892414i | \(0.350990\pi\) |
−0.998462 | + | 0.0554417i | \(0.982343\pi\) | |||||||
\(678\) | 5217.78 | − | 29591.5i | 0.295557 | − | 1.67619i | ||||
\(679\) | 6360.87 | − | 5337.40i | 0.359511 | − | 0.301665i | ||||
\(680\) | −2457.85 | − | 2062.38i | −0.138609 | − | 0.116307i | ||||
\(681\) | 5803.37 | + | 32912.6i | 0.326558 | + | 1.85200i | ||||
\(682\) | 4065.88 | + | 1479.86i | 0.228285 | + | 0.0830890i | ||||
\(683\) | 21336.4 | 1.19533 | 0.597667 | − | 0.801745i | \(-0.296095\pi\) | ||||
0.597667 | + | 0.801745i | \(0.296095\pi\) | |||||||
\(684\) | −6938.73 | + | 7084.02i | −0.387879 | + | 0.396000i | ||||
\(685\) | −700.452 | −0.0390699 | ||||||||
\(686\) | 9735.17 | + | 3543.31i | 0.541823 | + | 0.197207i | ||||
\(687\) | 1153.05 | + | 6539.28i | 0.0640344 | + | 0.363157i | ||||
\(688\) | −2484.15 | − | 2084.45i | −0.137656 | − | 0.115507i | ||||
\(689\) | 23381.3 | − | 19619.2i | 1.29282 | − | 1.08481i | ||||
\(690\) | 1054.12 | − | 5978.18i | 0.0581587 | − | 0.329834i | ||||
\(691\) | −5706.97 | + | 9884.76i | −0.314187 | + | 0.544188i | −0.979264 | − | 0.202586i | \(-0.935065\pi\) |
0.665077 | + | 0.746775i | \(0.268399\pi\) | |||||||
\(692\) | −2844.92 | − | 4927.54i | −0.156283 | − | 0.270689i | ||||
\(693\) | −9440.81 | + | 3436.17i | −0.517499 | + | 0.188354i | ||||
\(694\) | −6102.17 | + | 2221.01i | −0.333768 | + | 0.121482i | ||||
\(695\) | −41.6250 | − | 72.0966i | −0.00227184 | − | 0.00393494i | ||||
\(696\) | 5258.15 | − | 9107.39i | 0.286365 | − | 0.495998i | ||||
\(697\) | −4929.05 | + | 27954.0i | −0.267864 | + | 1.51913i | ||||
\(698\) | 6325.77 | − | 5307.95i | 0.343028 | − | 0.287835i | ||||
\(699\) | 2211.03 | + | 1855.27i | 0.119640 | + | 0.100390i | ||||
\(700\) | 612.229 | + | 3472.12i | 0.0330573 | + | 0.187477i | ||||
\(701\) | 17976.4 | + | 6542.88i | 0.968559 | + | 0.352527i | 0.777382 | − | 0.629029i | \(-0.216547\pi\) |
0.191177 | + | 0.981556i | \(0.438770\pi\) | |||||||
\(702\) | −3192.38 | −0.171636 | ||||||||
\(703\) | −11722.3 | + | 25834.0i | −0.628897 | + | 1.38598i | ||||
\(704\) | −2550.66 | −0.136551 | ||||||||
\(705\) | −3110.88 | − | 1132.27i | −0.166188 | − | 0.0604875i | ||||
\(706\) | 2085.05 | + | 11824.9i | 0.111150 | + | 0.630363i | ||||
\(707\) | 4792.10 | + | 4021.05i | 0.254916 | + | 0.213900i | ||||
\(708\) | −7035.01 | + | 5903.07i | −0.373435 | + | 0.313349i | ||||
\(709\) | 4148.24 | − | 23525.9i | 0.219733 | − | 1.24617i | −0.652770 | − | 0.757557i | \(-0.726393\pi\) |
0.872502 | − | 0.488610i | \(-0.162496\pi\) | |||||||
\(710\) | 4819.70 | − | 8347.97i | 0.254761 | − | 0.441259i | ||||
\(711\) | −1579.25 | − | 2735.33i | −0.0833001 | − | 0.144280i | ||||
\(712\) | 1196.53 | − | 435.501i | 0.0629802 | − | 0.0229229i | ||||
\(713\) | 4549.78 | − | 1655.98i | 0.238977 | − | 0.0869805i | ||||
\(714\) | 5651.02 | + | 9787.85i | 0.296196 | + | 0.513027i | ||||
\(715\) | −6481.75 | + | 11226.7i | −0.339026 | + | 0.587210i | ||||
\(716\) | −683.564 | + | 3876.69i | −0.0356788 | + | 0.202344i | ||||
\(717\) | −17659.0 | + | 14817.7i | −0.919787 | + | 0.771793i | ||||
\(718\) | 12389.5 | + | 10396.0i | 0.643973 | + | 0.540357i | ||||
\(719\) | 2713.73 | + | 15390.3i | 0.140758 | + | 0.798278i | 0.970676 | + | 0.240392i | \(0.0772761\pi\) |
−0.829918 | + | 0.557886i | \(0.811613\pi\) | |||||||
\(720\) | −2029.66 | − | 738.736i | −0.105057 | − | 0.0382376i | ||||
\(721\) | −1504.11 | −0.0776921 | ||||||||
\(722\) | −4957.91 | − | 12790.7i | −0.255560 | − | 0.659310i | ||||
\(723\) | 407.624 | 0.0209678 | ||||||||
\(724\) | −2712.45 | − | 987.250i | −0.139237 | − | 0.0506780i | ||||
\(725\) | 3166.25 | + | 17956.7i | 0.162195 | + | 0.919855i | ||||
\(726\) | 2975.01 | + | 2496.33i | 0.152084 | + | 0.127614i | ||||
\(727\) | −2128.33 | + | 1785.88i | −0.108577 | + | 0.0911069i | −0.695460 | − | 0.718565i | \(-0.744799\pi\) |
0.586883 | + | 0.809672i | \(0.300355\pi\) | |||||||
\(728\) | −843.805 | + | 4785.45i | −0.0429581 | + | 0.243627i | ||||
\(729\) | 11850.9 | − | 20526.4i | 0.602090 | − | 1.04285i | ||||
\(730\) | 4672.24 | + | 8092.56i | 0.236887 | + | 0.410300i | ||||
\(731\) | 16936.9 | − | 6164.54i | 0.856956 | − | 0.311907i | ||||
\(732\) | −9399.09 | + | 3420.99i | −0.474591 | + | 0.172737i | ||||
\(733\) | −16469.7 | − | 28526.4i | −0.829908 | − | 1.43744i | −0.898110 | − | 0.439771i | \(-0.855059\pi\) |
0.0682018 | − | 0.997672i | \(-0.478274\pi\) | |||||||
\(734\) | 6974.47 | − | 12080.1i | 0.350726 | − | 0.607474i | ||||
\(735\) | 1607.71 | − | 9117.78i | 0.0806821 | − | 0.457571i | ||||
\(736\) | −2186.47 | + | 1834.66i | −0.109503 | + | 0.0918840i | ||||
\(737\) | −28542.9 | − | 23950.4i | −1.42658 | − | 1.19705i | ||||
\(738\) | 3318.17 | + | 18818.3i | 0.165506 | + | 0.938633i | ||||
\(739\) | −11380.2 | − | 4142.04i | −0.566476 | − | 0.206180i | 0.0428757 | − | 0.999080i | \(-0.486348\pi\) |
−0.609352 | + | 0.792900i | \(0.708570\pi\) | |||||||
\(740\) | −6179.34 | −0.306969 | ||||||||
\(741\) | 18623.5 | − | 41043.1i | 0.923282 | − | 2.03476i | ||||
\(742\) | −7127.90 | −0.352660 | ||||||||
\(743\) | −1766.74 | − | 643.040i | −0.0872346 | − | 0.0317508i | 0.298034 | − | 0.954555i | \(-0.403669\pi\) |
−0.385269 | + | 0.922804i | \(0.625891\pi\) | |||||||
\(744\) | −568.994 | − | 3226.93i | −0.0280381 | − | 0.159012i | ||||
\(745\) | 2734.47 | + | 2294.49i | 0.134474 | + | 0.112837i | ||||
\(746\) | −1544.20 | + | 1295.74i | −0.0757870 | + | 0.0635928i | ||||
\(747\) | −4539.50 | + | 25744.8i | −0.222345 | + | 1.26098i | ||||
\(748\) | 7088.40 | − | 12277.5i | 0.346494 | − | 0.600145i | ||||
\(749\) | 254.283 | + | 440.430i | 0.0124049 | + | 0.0214859i | ||||
\(750\) | 14687.6 | − | 5345.86i | 0.715089 | − | 0.260271i | ||||
\(751\) | 17657.1 | − | 6426.65i | 0.857944 | − | 0.312266i | 0.124669 | − | 0.992198i | \(-0.460213\pi\) |
0.733275 | + | 0.679932i | \(0.237991\pi\) | |||||||
\(752\) | 778.285 | + | 1348.03i | 0.0377408 | + | 0.0653691i | ||||
\(753\) | 16622.1 | − | 28790.3i | 0.804440 | − | 1.39333i | ||||
\(754\) | −4363.89 | + | 24748.8i | −0.210774 | + | 1.19536i | ||||
\(755\) | −1546.62 | + | 1297.77i | −0.0745525 | + | 0.0625570i | ||||
\(756\) | 571.105 | + | 479.214i | 0.0274747 | + | 0.0230540i | ||||
\(757\) | 1227.29 | + | 6960.28i | 0.0589253 | + | 0.334182i | 0.999992 | − | 0.00403952i | \(-0.00128582\pi\) |
−0.941067 | + | 0.338221i | \(0.890175\pi\) | |||||||
\(758\) | −16729.7 | − | 6089.11i | −0.801649 | − | 0.291776i | ||||
\(759\) | 26822.2 | 1.28272 | ||||||||
\(760\) | 2090.86 | − | 2134.64i | 0.0997942 | − | 0.101884i | ||||
\(761\) | 15128.1 | 0.720623 | 0.360312 | − | 0.932832i | \(-0.382670\pi\) | ||||
0.360312 | + | 0.932832i | \(0.382670\pi\) | |||||||
\(762\) | −34600.7 | − | 12593.6i | −1.64495 | − | 0.598713i | ||||
\(763\) | −477.175 | − | 2706.19i | −0.0226407 | − | 0.128402i | ||||
\(764\) | 6351.73 | + | 5329.74i | 0.300782 | + | 0.252386i | ||||
\(765\) | 9196.38 | − | 7716.68i | 0.434635 | − | 0.364702i | ||||
\(766\) | −228.833 | + | 1297.78i | −0.0107938 | + | 0.0612148i | ||||
\(767\) | 10972.9 | − | 19005.6i | 0.516568 | − | 0.894722i | ||||
\(768\) | 965.811 | + | 1672.83i | 0.0453785 | + | 0.0785979i | ||||
\(769\) | −35651.6 | + | 12976.1i | −1.67182 | + | 0.608493i | −0.992153 | − | 0.125027i | \(-0.960098\pi\) |
−0.679668 | + | 0.733520i | \(0.737876\pi\) | |||||||
\(770\) | 2844.82 | − | 1035.43i | 0.133143 | − | 0.0484602i | ||||
\(771\) | −5381.62 | − | 9321.24i | −0.251381 | − | 0.435404i | ||||
\(772\) | −9261.59 | + | 16041.6i | −0.431777 | + | 0.747860i | ||||
\(773\) | 5331.82 | − | 30238.3i | 0.248088 | − | 1.40698i | −0.565121 | − | 0.825008i | \(-0.691171\pi\) |
0.813210 | − | 0.581971i | \(-0.197718\pi\) | |||||||
\(774\) | 9294.78 | − | 7799.24i | 0.431646 | − | 0.362194i | ||||
\(775\) | 4352.15 | + | 3651.88i | 0.201721 | + | 0.169264i | ||||
\(776\) | 1369.69 | + | 7767.92i | 0.0633623 | + | 0.359345i | ||||
\(777\) | 20454.2 | + | 7444.72i | 0.944389 | + | 0.343730i | ||||
\(778\) | 3530.91 | 0.162711 | ||||||||
\(779\) | −25603.7 | − | 6576.96i | −1.17760 | − | 0.302496i | ||||
\(780\) | 9817.28 | 0.450660 | ||||||||
\(781\) | 40023.2 | + | 14567.3i | 1.83373 | + | 0.667424i | ||||
\(782\) | −2754.76 | − | 15623.0i | −0.125972 | − | 0.714423i | ||||
\(783\) | 2953.57 | + | 2478.34i | 0.134805 | + | 0.113114i | ||||
\(784\) | −3334.75 | + | 2798.18i | −0.151911 | + | 0.127468i | ||||
\(785\) | 1547.14 | − | 8774.28i | 0.0703438 | − | 0.398940i | ||||
\(786\) | 3482.11 | − | 6031.19i | 0.158019 | − | 0.273696i | ||||
\(787\) | −12613.2 | − | 21846.6i | −0.571297 | − | 0.989516i | −0.996433 | − | 0.0843861i | \(-0.973107\pi\) |
0.425136 | − | 0.905129i | \(-0.360226\pi\) | |||||||
\(788\) | −9644.05 | + | 3510.15i | −0.435983 | + | 0.158685i | ||||
\(789\) | 3230.70 | − | 1175.88i | 0.145774 | − | 0.0530574i | ||||
\(790\) | 475.878 | + | 824.244i | 0.0214316 | + | 0.0371206i | ||||
\(791\) | 8384.42 | − | 14522.2i | 0.376884 | − | 0.652783i | ||||
\(792\) | 1657.24 | − | 9398.65i | 0.0743527 | − | 0.421675i | ||||
\(793\) | 18310.2 | − | 15364.1i | 0.819944 | − | 0.688015i | ||||
\(794\) | 22831.0 | + | 19157.5i | 1.02046 | + | 0.856264i | ||||
\(795\) | 2500.64 | + | 14181.8i | 0.111558 | + | 0.632677i | ||||
\(796\) | −3829.02 | − | 1393.65i | −0.170497 | − | 0.0620559i | ||||
\(797\) | −34813.7 | −1.54726 | −0.773628 | − | 0.633640i | \(-0.781560\pi\) | ||||
−0.773628 | + | 0.633640i | \(0.781560\pi\) | |||||||
\(798\) | −9492.73 | + | 4546.85i | −0.421102 | + | 0.201700i | ||||
\(799\) | −8651.54 | −0.383066 | ||||||||
\(800\) | −3147.17 | − | 1145.48i | −0.139086 | − | 0.0506233i | ||||
\(801\) | 827.312 | + | 4691.92i | 0.0364939 | + | 0.206967i | ||||
\(802\) | −5493.75 | − | 4609.81i | −0.241884 | − | 0.202965i | ||||
\(803\) | −31629.0 | + | 26539.9i | −1.38999 | + | 1.16634i | ||||
\(804\) | −4899.86 | + | 27788.5i | −0.214931 | + | 1.21894i | ||||
\(805\) | 1693.85 | − | 2933.84i | 0.0741620 | − | 0.128452i | ||||
\(806\) | 3915.14 | + | 6781.23i | 0.171098 | + | 0.296351i | ||||
\(807\) | 55432.7 | − | 20175.8i | 2.41800 | − | 0.880078i | ||||
\(808\) | −5584.04 | + | 2032.42i | −0.243126 | + | 0.0884906i | ||||
\(809\) | 4140.95 | + | 7172.34i | 0.179961 | + | 0.311701i | 0.941867 | − | 0.335987i | \(-0.109070\pi\) |
−0.761906 | + | 0.647687i | \(0.775736\pi\) | |||||||
\(810\) | −2891.77 | + | 5008.69i | −0.125440 | + | 0.217268i | ||||
\(811\) | −6006.07 | + | 34062.1i | −0.260051 | + | 1.47483i | 0.522714 | + | 0.852508i | \(0.324920\pi\) |
−0.782765 | + | 0.622317i | \(0.786191\pi\) | |||||||
\(812\) | 4495.77 | − | 3772.40i | 0.194299 | − | 0.163036i | ||||
\(813\) | 24544.7 | + | 20595.5i | 1.05882 | + | 0.888457i | ||||
\(814\) | −4741.20 | − | 26888.7i | −0.204151 | − | 1.15780i | ||||
\(815\) | −4614.19 | − | 1679.43i | −0.198317 | − | 0.0721813i | ||||
\(816\) | −10736.1 | −0.460587 | ||||||||
\(817\) | 4512.15 | + | 16167.7i | 0.193219 | + | 0.692332i | ||||
\(818\) | −7981.04 | −0.341138 | ||||||||
\(819\) | −17085.1 | − | 6218.48i | −0.728942 | − | 0.265313i | ||||
\(820\) | −999.873 | − | 5670.56i | −0.0425818 | − | 0.241493i | ||||
\(821\) | 13976.3 | + | 11727.5i | 0.594123 | + | 0.498528i | 0.889550 | − | 0.456837i | \(-0.151018\pi\) |
−0.295428 | + | 0.955365i | \(0.595462\pi\) | |||||||
\(822\) | −1795.47 | + | 1506.58i | −0.0761851 | + | 0.0639269i | ||||
\(823\) | 1638.21 | − | 9290.77i | 0.0693858 | − | 0.393506i | −0.930260 | − | 0.366900i | \(-0.880419\pi\) |
0.999646 | − | 0.0266059i | \(-0.00846993\pi\) | |||||||
\(824\) | 714.398 | − | 1237.37i | 0.0302029 | − | 0.0523130i | ||||
\(825\) | 15736.5 | + | 27256.5i | 0.664092 | + | 1.15024i | ||||
\(826\) | −4815.97 | + | 1752.87i | −0.202868 | + | 0.0738379i | ||||
\(827\) | 16095.2 | − | 5858.16i | 0.676764 | − | 0.246322i | 0.0193066 | − | 0.999814i | \(-0.493854\pi\) |
0.657458 | + | 0.753492i | \(0.271632\pi\) | |||||||
\(828\) | −5339.74 | − | 9248.70i | −0.224117 | − | 0.388182i | ||||
\(829\) | −14524.7 | + | 25157.5i | −0.608521 | + | 1.05399i | 0.382963 | + | 0.923763i | \(0.374904\pi\) |
−0.991484 | + | 0.130226i | \(0.958430\pi\) | |||||||
\(830\) | 1367.90 | − | 7757.73i | 0.0572053 | − | 0.324427i | ||||
\(831\) | −33611.2 | + | 28203.2i | −1.40308 | + | 1.17733i | ||||
\(832\) | −3536.03 | − | 2967.08i | −0.147344 | − | 0.123636i | ||||
\(833\) | −4201.50 | − | 23827.9i | −0.174758 | − | 0.991101i | ||||
\(834\) | −261.768 | − | 95.2756i | −0.0108684 | − | 0.00395578i | ||||
\(835\) | −12166.8 | −0.504252 | ||||||||
\(836\) | 10892.9 | + | 7460.32i | 0.450645 | + | 0.308637i | ||||
\(837\) | 1201.35 | 0.0496112 | ||||||||
\(838\) | −14401.6 | − | 5241.74i | −0.593668 | − | 0.216078i | ||||
\(839\) | −1713.44 | − | 9717.39i | −0.0705059 | − | 0.399859i | −0.999553 | − | 0.0298972i | \(-0.990482\pi\) |
0.929047 | − | 0.369961i | \(-0.120629\pi\) | |||||||
\(840\) | −1756.27 | − | 1473.69i | −0.0721396 | − | 0.0605323i | ||||
\(841\) | 4567.63 | − | 3832.69i | 0.187282 | − | 0.157148i | ||||
\(842\) | 2335.97 | − | 13247.9i | 0.0956090 | − | 0.542226i | ||||
\(843\) | −12983.6 | + | 22488.2i | −0.530459 | + | 0.918783i | ||||
\(844\) | 4417.57 | + | 7651.45i | 0.180165 | + | 0.312054i | ||||
\(845\) | −12734.6 | + | 4635.03i | −0.518444 | + | 0.188698i | ||||
\(846\) | −5472.87 | + | 1991.96i | −0.222413 | + | 0.0809516i | ||||
\(847\) | 1083.66 | + | 1876.95i | 0.0439610 | + | 0.0761426i | ||||
\(848\) | 3385.49 | − | 5863.85i | 0.137097 | − | 0.237459i | ||||
\(849\) | −4400.86 | + | 24958.5i | −0.177900 | + | 1.00892i | ||||
\(850\) | 14259.8 | − | 11965.4i | 0.575420 | − | 0.482834i | ||||
\(851\) | −23405.0 | − | 19639.1i | −0.942787 | − | 0.791092i | ||||
\(852\) | −5601.01 | − | 31764.9i | −0.225220 | − | 1.27729i | ||||
\(853\) | 38945.6 | + | 14175.0i | 1.56327 | + | 0.568984i | 0.971483 | − | 0.237109i | \(-0.0761997\pi\) |
0.591789 | + | 0.806093i | \(0.298422\pi\) | |||||||
\(854\) | −5581.97 | −0.223666 | ||||||||
\(855\) | 6507.22 | + | 9091.33i | 0.260283 | + | 0.363645i | ||||
\(856\) | −483.100 | −0.0192897 | ||||||||
\(857\) | −17262.3 | − | 6282.95i | −0.688061 | − | 0.250434i | −0.0257561 | − | 0.999668i | \(-0.508199\pi\) |
−0.662305 | + | 0.749235i | \(0.730422\pi\) | |||||||
\(858\) | 7532.48 | + | 42718.8i | 0.299714 | + | 1.69976i | ||||
\(859\) | −28140.6 | − | 23612.8i | −1.11775 | − | 0.937902i | −0.119260 | − | 0.992863i | \(-0.538052\pi\) |
−0.998489 | + | 0.0549607i | \(0.982497\pi\) | |||||||
\(860\) | −2800.82 | + | 2350.16i | −0.111055 | + | 0.0931860i | ||||
\(861\) | −3522.08 | + | 19974.7i | −0.139410 | + | 0.790635i | ||||
\(862\) | −16437.3 | + | 28470.3i | −0.649486 | + | 1.12494i | ||||
\(863\) | −4766.52 | − | 8255.85i | −0.188012 | − | 0.325646i | 0.756576 | − | 0.653906i | \(-0.226871\pi\) |
−0.944587 | + | 0.328260i | \(0.893538\pi\) | |||||||
\(864\) | −665.485 | + | 242.217i | −0.0262040 | + | 0.00953748i | ||||
\(865\) | −6028.27 | + | 2194.11i | −0.236956 | + | 0.0862450i | ||||
\(866\) | 2878.88 | + | 4986.37i | 0.112966 | + | 0.195663i | ||||
\(867\) | 11300.8 | − | 19573.6i | 0.442672 | − | 0.766730i | ||||
\(868\) | 317.538 | − | 1800.84i | 0.0124170 | − | 0.0704201i | ||||
\(869\) | −3221.48 | + | 2703.14i | −0.125755 | + | 0.105521i | ||||
\(870\) | −9082.89 | − | 7621.45i | −0.353952 | − | 0.297001i | ||||
\(871\) | −11709.1 | − | 66405.7i | −0.455509 | − | 2.58332i | ||||
\(872\) | 2452.92 | + | 892.790i | 0.0952596 | + | 0.0346717i | ||||
\(873\) | −29513.1 | −1.14418 | ||||||||
\(874\) | 14703.7 | − | 1440.05i | 0.569062 | − | 0.0557328i | ||||
\(875\) | 8722.74 | 0.337009 | ||||||||
\(876\) | 29382.4 | + | 10694.3i | 1.13326 | + | 0.412474i | ||||
\(877\) | −4282.08 | − | 24284.9i | −0.164875 | − | 0.935053i | −0.949193 | − | 0.314694i | \(-0.898098\pi\) |
0.784318 | − | 0.620359i | \(-0.213013\pi\) | |||||||
\(878\) | −6681.82 | − | 5606.71i | −0.256834 | − | 0.215509i | ||||
\(879\) | −12004.1 | + | 10072.7i | −0.460625 | + | 0.386510i | ||||
\(880\) | −499.379 | + | 2832.12i | −0.0191296 | + | 0.108489i | ||||
\(881\) | −25568.5 | + | 44285.9i | −0.977780 | + | 1.69357i | −0.307343 | + | 0.951599i | \(0.599440\pi\) |
−0.670437 | + | 0.741966i | \(0.733893\pi\) | |||||||
\(882\) | −8144.04 | − | 14105.9i | −0.310912 | − | 0.538515i | ||||
\(883\) | −25695.5 | + | 9352.39i | −0.979300 | + | 0.356436i | −0.781568 | − | 0.623820i | \(-0.785580\pi\) |
−0.197732 | + | 0.980256i | \(0.563358\pi\) | |||||||
\(884\) | 24108.7 | − | 8774.83i | 0.917265 | − | 0.333857i | ||||
\(885\) | 5177.11 | + | 8967.02i | 0.196640 | + | 0.340591i | ||||
\(886\) | −14763.5 | + | 25571.1i | −0.559806 | + | 0.969613i | ||||
\(887\) | −4074.70 | + | 23108.8i | −0.154245 | + | 0.874766i | 0.805228 | + | 0.592965i | \(0.202043\pi\) |
−0.959473 | + | 0.281801i | \(0.909068\pi\) | |||||||
\(888\) | −15839.5 | + | 13290.9i | −0.598580 | + | 0.502268i | ||||
\(889\) | −15741.3 | − | 13208.5i | −0.593865 | − | 0.498312i | ||||
\(890\) | −249.296 | − | 1413.83i | −0.00938923 | − | 0.0532490i | ||||
\(891\) | −24013.5 | − | 8740.20i | −0.902899 | − | 0.328628i | ||||
\(892\) | 23081.0 | 0.866377 | ||||||||
\(893\) | 619.030 | − | 8033.29i | 0.0231971 | − | 0.301034i | ||||
\(894\) | 11944.4 | 0.446847 | ||||||||
\(895\) | 4170.63 | + | 1517.99i | 0.155764 | + | 0.0566935i | ||||
\(896\) | 187.189 | + | 1061.60i | 0.00697939 | + | 0.0395821i | ||||
\(897\) | 37184.1 | + | 31201.2i | 1.38410 | + | 1.16140i | ||||
\(898\) | 12545.4 | − | 10526.9i | 0.466199 | − | 0.391188i | ||||
\(899\) | 1642.20 | − | 9313.39i | 0.0609238 | − | 0.345516i | ||||
\(900\) | 6265.64 | − | 10852.4i | 0.232061 | − | 0.401941i | ||||
\(901\) | 18816.9 | + | 32591.8i | 0.695761 | + | 1.20509i | ||||
\(902\) | 23907.6 | − | 8701.67i | 0.882525 | − | 0.321213i | ||||
\(903\) | 12102.4 | − | 4404.91i | 0.446005 | − | 0.162333i | ||||
\(904\) | 7964.59 | + | 13795.1i | 0.293029 | + | 0.507541i | ||||
\(905\) | −1627.24 | + | 2818.47i | −0.0597695 | + | 0.103524i | ||||
\(906\) | −1173.13 | + | 6653.13i | −0.0430182 | + | 0.243968i | ||||
\(907\) | 9003.78 | − | 7555.07i | 0.329620 | − | 0.276584i | −0.462925 | − | 0.886398i | \(-0.653200\pi\) |
0.792545 | + | 0.609813i | \(0.208756\pi\) | |||||||
\(908\) | −13571.9 | − | 11388.2i | −0.496036 | − | 0.416224i | ||||
\(909\) | −3860.95 | − | 21896.5i | −0.140880 | − | 0.798968i | ||||
\(910\) | 5148.30 | + | 1873.83i | 0.187544 | + | 0.0682603i | ||||
\(911\) | 34914.5 | 1.26978 | 0.634891 | − | 0.772602i | \(-0.281045\pi\) | ||||
0.634891 | + | 0.772602i | \(0.281045\pi\) | |||||||
\(912\) | 768.184 | − | 9968.90i | 0.0278916 | − | 0.361955i | ||||
\(913\) | 34806.4 | 1.26169 | ||||||||
\(914\) | 14055.7 | + | 5115.86i | 0.508667 | + | 0.185140i | ||||
\(915\) | 1958.29 | + | 11106.0i | 0.0707531 | + | 0.401261i | ||||
\(916\) | −2696.56 | − | 2262.68i | −0.0972673 | − | 0.0816170i | ||||
\(917\) | 2977.24 | − | 2498.20i | 0.107216 | − | 0.0899649i | ||||
\(918\) | 683.514 | − | 3876.40i | 0.0245744 | − | 0.139369i | ||||
\(919\) | 11737.9 | − | 20330.7i | 0.421326 | − | 0.729757i | −0.574744 | − | 0.818333i | \(-0.694898\pi\) |
0.996069 | + | 0.0885760i | \(0.0282316\pi\) | |||||||
\(920\) | 1609.04 | + | 2786.93i | 0.0576612 | + | 0.0998722i | ||||
\(921\) | 44425.1 | − | 16169.4i | 1.58942 | − | 0.578502i | ||||
\(922\) | 10976.7 | − | 3995.21i | 0.392082 | − | 0.142706i | ||||
\(923\) | 38539.5 | + | 66752.3i | 1.37437 | + | 2.38048i | ||||
\(924\) | 5065.06 | − | 8772.94i | 0.180334 | − | 0.312347i | ||||
\(925\) | 6225.43 | − | 35306.2i | 0.221288 | − | 1.25498i | ||||
\(926\) | −17716.6 | + | 14866.0i | −0.628731 | + | 0.527568i | ||||
\(927\) | 4095.29 | + | 3436.36i | 0.145099 | + | 0.121753i | ||||
\(928\) | 968.080 | + | 5490.25i | 0.0342444 | + | 0.194209i | ||||
\(929\) | −10709.6 | − | 3897.97i | −0.378224 | − | 0.137662i | 0.145911 | − | 0.989298i | \(-0.453389\pi\) |
−0.524134 | + | 0.851636i | \(0.675611\pi\) | |||||||
\(930\) | −3694.40 | −0.130263 | ||||||||
\(931\) | 22425.7 | − | 2196.33i | 0.789445 | − | 0.0773168i | ||||
\(932\) | −1530.09 | −0.0537767 | ||||||||
\(933\) | −71394.4 | − | 25985.5i | −2.50520 | − | 0.911817i | ||||
\(934\) | −2508.78 | − | 14228.0i | −0.0878905 | − | 0.498452i | ||||
\(935\) | −12244.4 | − | 10274.3i | −0.428274 | − | 0.359364i | ||||
\(936\) | 13230.5 | − | 11101.7i | 0.462023 | − | 0.387683i | ||||
\(937\) | 6822.68 | − | 38693.3i | 0.237873 | − | 1.34905i | −0.598605 | − | 0.801045i | \(-0.704278\pi\) |
0.836478 | − | 0.548001i | \(-0.184611\pi\) | |||||||
\(938\) | −7873.56 | + | 13637.4i | −0.274073 | + | 0.474709i | ||||
\(939\) | −17042.6 | − | 29518.7i | −0.592295 | − | 1.02588i | ||||
\(940\) | 1649.15 | − | 600.243i | 0.0572228 | − | 0.0208274i | ||||
\(941\) | −8163.60 | + | 2971.31i | −0.282812 | + | 0.102935i | −0.479531 | − | 0.877525i | \(-0.659193\pi\) |
0.196720 | + | 0.980460i | \(0.436971\pi\) | |||||||
\(942\) | −14906.5 | − | 25818.8i | −0.515584 | − | 0.893017i | ||||
\(943\) | 14235.0 | − | 24655.7i | 0.491574 | − | 0.851432i | ||||
\(944\) | 845.393 | − | 4794.46i | 0.0291475 | − | 0.165303i | ||||
\(945\) | 643.906 | − | 540.302i | 0.0221654 | − | 0.0185990i | ||||
\(946\) | −12375.4 | − | 10384.2i | −0.425328 | − | 0.356893i | ||||
\(947\) | −4514.49 | − | 25602.9i | −0.154911 | − | 0.878546i | −0.958867 | − | 0.283857i | \(-0.908386\pi\) |
0.803955 | − | 0.594690i | \(-0.202725\pi\) | |||||||
\(948\) | 2992.66 | + | 1089.24i | 0.102528 | + | 0.0373173i | ||||
\(949\) | −74720.7 | −2.55589 | ||||||||
\(950\) | 10090.0 | + | 14096.9i | 0.344593 | + | 0.481436i | ||||
\(951\) | −78642.6 | −2.68156 | ||||||||
\(952\) | −5630.15 | − | 2049.21i | −0.191675 | − | 0.0697639i | ||||
\(953\) | 4574.98 | + | 25946.0i | 0.155507 | + | 0.881923i | 0.958321 | + | 0.285694i | \(0.0922241\pi\) |
−0.802814 | + | 0.596230i | \(0.796665\pi\) | |||||||
\(954\) | 19407.4 | + | 16284.7i | 0.658635 | + | 0.552660i | ||||
\(955\) | 7161.42 | − | 6009.14i | 0.242658 | − | 0.203614i | ||||
\(956\) | 2122.07 | − | 12034.9i | 0.0717916 | − | 0.407150i | ||||
\(957\) | 26194.9 | − | 45370.8i | 0.884806 | − | 1.53253i | ||||
\(958\) | 4432.03 | + | 7676.51i | 0.149470 | + | 0.258890i | ||||
\(959\) | −1229.13 | + | 447.365i | −0.0413875 | + | 0.0150638i | ||||
\(960\) | 2046.51 | − | 744.870i | 0.0688031 | − | 0.0250423i | ||||
\(961\) | 13422.2 | + | 23247.9i | 0.450544 | + | 0.780366i | ||||
\(962\) | 24705.7 | − | 42791.5i | 0.828008 | − | 1.43415i | ||||
\(963\) | 313.883 | − | 1780.12i | 0.0105034 | − | 0.0595676i | ||||
\(964\) | −165.536 | + | 138.901i | −0.00553065 | + | 0.00464076i | ||||
\(965\) | 15998.4 | + | 13424.2i | 0.533686 | + | 0.447815i | ||||
\(966\) | −1968.43 | − | 11163.5i | −0.0655624 | − | 0.371823i | ||||
\(967\) | 25876.7 | + | 9418.34i | 0.860535 | + | 0.313209i | 0.734328 | − | 0.678795i | \(-0.237497\pi\) |
0.126207 | + | 0.992004i | \(0.459720\pi\) | |||||||
\(968\) | −2058.79 | −0.0683597 | ||||||||
\(969\) | 45849.9 | + | 31401.6i | 1.52003 | + | 1.04104i | ||||
\(970\) | 8893.24 | 0.294376 | ||||||||
\(971\) | −22590.8 | − | 8222.39i | −0.746627 | − | 0.271750i | −0.0594410 | − | 0.998232i | \(-0.518932\pi\) |
−0.687186 | + | 0.726482i | \(0.741154\pi\) | |||||||
\(972\) | 3775.59 | + | 21412.4i | 0.124591 | + | 0.706588i | ||||
\(973\) | −119.089 | − | 99.9274i | −0.00392375 | − | 0.00329242i | ||||
\(974\) | 942.000 | − | 790.432i | 0.0309893 | − | 0.0260032i | ||||
\(975\) | −9890.51 | + | 56091.9i | −0.324872 | + | 1.84244i | ||||
\(976\) | 2651.23 | − | 4592.07i | 0.0869507 | − | 0.150603i | ||||
\(977\) | 2945.22 | + | 5101.26i | 0.0964440 | + | 0.167046i | 0.910210 | − | 0.414146i | \(-0.135920\pi\) |
−0.813766 | + | 0.581192i | \(0.802586\pi\) | |||||||
\(978\) | −15439.8 | + | 5619.62i | −0.504815 | + | 0.183738i | ||||
\(979\) | 5960.83 | − | 2169.56i | 0.194595 | − | 0.0708270i | ||||
\(980\) | 2454.06 | + | 4250.56i | 0.0799920 | + | 0.138550i | ||||
\(981\) | −4883.47 | + | 8458.42i | −0.158937 | + | 0.275287i | ||||
\(982\) | 3040.77 | − | 17245.1i | 0.0988134 | − | 0.560399i | ||||
\(983\) | −2112.34 | + | 1772.47i | −0.0685384 | + | 0.0575105i | −0.676413 | − | 0.736522i | \(-0.736467\pi\) |
0.607875 | + | 0.794033i | \(0.292022\pi\) | |||||||
\(984\) | −14759.6 | − | 12384.8i | −0.478169 | − | 0.401231i | ||||
\(985\) | 2009.33 | + | 11395.5i | 0.0649974 | + | 0.368619i | ||||
\(986\) | −29117.3 | − | 10597.8i | −0.940451 | − | 0.342296i | ||||
\(987\) | −6182.02 | −0.199368 | ||||||||
\(988\) | 6422.76 | + | 23013.7i | 0.206817 | + | 0.741055i | ||||
\(989\) | −18077.7 | −0.581230 | ||||||||
\(990\) | −10111.3 | − | 3680.21i | −0.324604 | − | 0.118146i | ||||
\(991\) | 1177.25 | + | 6676.50i | 0.0377361 | + | 0.214012i | 0.997845 | − | 0.0656140i | \(-0.0209006\pi\) |
−0.960109 | + | 0.279626i | \(0.909789\pi\) | |||||||
\(992\) | 1330.67 | + | 1116.56i | 0.0425894 | + | 0.0357368i | ||||
\(993\) | 47486.1 | − | 39845.6i | 1.51755 | − | 1.27338i | ||||
\(994\) | 3125.74 | − | 17727.0i | 0.0997410 | − | 0.565659i | ||||
\(995\) | −2297.09 | + | 3978.68i | −0.0731886 | + | 0.126766i | ||||
\(996\) | −13179.5 | − | 22827.5i | −0.419285 | − | 0.726223i | ||||
\(997\) | −26221.4 | + | 9543.82i | −0.832940 | + | 0.303165i | −0.723065 | − | 0.690780i | \(-0.757267\pi\) |
−0.109875 | + | 0.993945i | \(0.535045\pi\) | |||||||
\(998\) | 22330.5 | − | 8127.65i | 0.708277 | − | 0.257792i | ||||
\(999\) | −3790.42 | − | 6565.21i | −0.120044 | − | 0.207922i |
(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 | 38.4.e.b.23.1 | yes | 18 | |
19.5 | even | 9 | inner | 38.4.e.b.5.1 | ✓ | 18 | |
19.9 | even | 9 | 722.4.a.t.1.2 | 9 | |||
19.10 | odd | 18 | 722.4.a.u.1.8 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.b.5.1 | ✓ | 18 | 19.5 | even | 9 | inner | |
38.4.e.b.23.1 | yes | 18 | 1.1 | even | 1 | trivial | |
722.4.a.t.1.2 | 9 | 19.9 | even | 9 | |||
722.4.a.u.1.8 | 9 | 19.10 | odd | 18 |