Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,4,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(13.5704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.8 | ||
Character | \(\chi\) | \(=\) | 230.9 |
Dual form | 230.4.j.a.179.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.563465 | − | 1.91899i | −0.199215 | − | 0.678464i | ||||
\(3\) | −2.50934 | + | 2.17435i | −0.482922 | + | 0.418454i | −0.861998 | − | 0.506911i | \(-0.830787\pi\) |
0.379076 | + | 0.925365i | \(0.376242\pi\) | |||||||
\(4\) | −3.36501 | + | 2.16256i | −0.420627 | + | 0.270320i | ||||
\(5\) | 0.326731 | + | 11.1756i | 0.0292237 | + | 0.999573i | ||||
\(6\) | 5.58647 | + | 3.59021i | 0.380111 | + | 0.244283i | ||||
\(7\) | 12.0046 | + | 5.48233i | 0.648190 | + | 0.296018i | 0.712248 | − | 0.701928i | \(-0.247677\pi\) |
−0.0640585 | + | 0.997946i | \(0.520404\pi\) | |||||||
\(8\) | 6.04600 | + | 5.23889i | 0.267198 | + | 0.231528i | ||||
\(9\) | −2.27354 | + | 15.8128i | −0.0842052 | + | 0.585660i | ||||
\(10\) | 21.2617 | − | 6.92403i | 0.672352 | − | 0.218957i | ||||
\(11\) | −50.3365 | − | 14.7801i | −1.37973 | − | 0.405125i | −0.494054 | − | 0.869431i | \(-0.664485\pi\) |
−0.885675 | + | 0.464306i | \(0.846304\pi\) | |||||||
\(12\) | 3.74178 | − | 12.7433i | 0.0900132 | − | 0.306557i | ||||
\(13\) | 7.23245 | − | 3.30295i | 0.154302 | − | 0.0704672i | −0.336767 | − | 0.941588i | \(-0.609334\pi\) |
0.491069 | + | 0.871121i | \(0.336606\pi\) | |||||||
\(14\) | 3.75633 | − | 26.1258i | 0.0717086 | − | 0.498745i | ||||
\(15\) | −25.1195 | − | 27.3328i | −0.432388 | − | 0.470487i | ||||
\(16\) | 6.64664 | − | 14.5541i | 0.103854 | − | 0.227408i | ||||
\(17\) | 44.2924 | − | 68.9203i | 0.631910 | − | 0.983272i | −0.366688 | − | 0.930344i | \(-0.619508\pi\) |
0.998598 | − | 0.0529278i | \(-0.0168553\pi\) | |||||||
\(18\) | 31.6256 | − | 4.54708i | 0.414124 | − | 0.0595421i | ||||
\(19\) | 16.8436 | − | 10.8247i | 0.203378 | − | 0.130703i | −0.434987 | − | 0.900437i | \(-0.643247\pi\) |
0.638366 | + | 0.769733i | \(0.279611\pi\) | |||||||
\(20\) | −25.2673 | − | 36.8994i | −0.282497 | − | 0.412547i | ||||
\(21\) | −42.0442 | + | 12.3453i | −0.436895 | + | 0.128284i | ||||
\(22\) | 104.923i | 1.01680i | ||||||||
\(23\) | −97.9435 | + | 50.7354i | −0.887940 | + | 0.459959i | ||||
\(24\) | −26.5626 | −0.225920 | ||||||||
\(25\) | −124.786 | + | 7.30280i | −0.998292 | + | 0.0584224i | ||||
\(26\) | −10.4135 | − | 12.0179i | −0.0785486 | − | 0.0906499i | ||||
\(27\) | −77.1454 | − | 120.041i | −0.549875 | − | 0.855623i | ||||
\(28\) | −52.2517 | + | 7.51266i | −0.352666 | + | 0.0507057i | ||||
\(29\) | −152.941 | − | 98.2891i | −0.979324 | − | 0.629373i | −0.0500433 | − | 0.998747i | \(-0.515936\pi\) |
−0.929281 | + | 0.369374i | \(0.879572\pi\) | |||||||
\(30\) | −38.2973 | + | 63.6050i | −0.233070 | + | 0.387088i | ||||
\(31\) | −153.498 | + | 177.146i | −0.889323 | + | 1.02633i | 0.110151 | + | 0.993915i | \(0.464866\pi\) |
−0.999474 | + | 0.0324185i | \(0.989679\pi\) | |||||||
\(32\) | −31.6743 | − | 4.55407i | −0.174977 | − | 0.0251579i | ||||
\(33\) | 158.448 | − | 72.3609i | 0.835827 | − | 0.381710i | ||||
\(34\) | −157.214 | − | 46.1623i | −0.793001 | − | 0.232846i | ||||
\(35\) | −57.3459 | + | 135.950i | −0.276949 | + | 0.656563i | ||||
\(36\) | −26.5457 | − | 58.1270i | −0.122897 | − | 0.269107i | ||||
\(37\) | 146.318 | + | 21.0373i | 0.650122 | + | 0.0934734i | 0.459483 | − | 0.888187i | \(-0.348035\pi\) |
0.190639 | + | 0.981660i | \(0.438944\pi\) | |||||||
\(38\) | −30.2633 | − | 26.2233i | −0.129194 | − | 0.111947i | ||||
\(39\) | −10.9669 | + | 24.0141i | −0.0450283 | + | 0.0985983i | ||||
\(40\) | −56.5721 | + | 69.2791i | −0.223621 | + | 0.273850i | ||||
\(41\) | 33.8313 | + | 235.302i | 0.128868 | + | 0.896293i | 0.946993 | + | 0.321254i | \(0.104104\pi\) |
−0.818126 | + | 0.575040i | \(0.804987\pi\) | |||||||
\(42\) | 47.3809 | + | 73.7261i | 0.174072 | + | 0.270861i | ||||
\(43\) | −206.459 | + | 178.898i | −0.732204 | + | 0.634458i | −0.938997 | − | 0.343926i | \(-0.888243\pi\) |
0.206793 | + | 0.978385i | \(0.433697\pi\) | |||||||
\(44\) | 201.346 | − | 59.1205i | 0.689864 | − | 0.202562i | ||||
\(45\) | −177.460 | − | 20.2416i | −0.587871 | − | 0.0670541i | ||||
\(46\) | 152.548 | + | 159.365i | 0.488957 | + | 0.510805i | ||||
\(47\) | − | 439.328i | − | 1.36346i | −0.731604 | − | 0.681730i | \(-0.761228\pi\) | ||
0.731604 | − | 0.681730i | \(-0.238772\pi\) | |||||||
\(48\) | 14.9671 | + | 50.9733i | 0.0450066 | + | 0.153278i | ||||
\(49\) | −110.562 | − | 127.595i | −0.322338 | − | 0.371998i | ||||
\(50\) | 84.3268 | + | 235.349i | 0.238512 | + | 0.665667i | ||||
\(51\) | 38.7125 | + | 269.251i | 0.106291 | + | 0.739269i | ||||
\(52\) | −17.1945 | + | 26.7551i | −0.0458547 | + | 0.0713512i | ||||
\(53\) | −169.814 | − | 77.5515i | −0.440109 | − | 0.200991i | 0.183022 | − | 0.983109i | \(-0.441412\pi\) |
−0.623130 | + | 0.782118i | \(0.714139\pi\) | |||||||
\(54\) | −186.887 | + | 215.680i | −0.470966 | + | 0.543524i | ||||
\(55\) | 148.730 | − | 567.367i | 0.364631 | − | 1.39098i | ||||
\(56\) | 43.8587 | + | 96.0371i | 0.104658 | + | 0.229170i | ||||
\(57\) | −18.7295 | + | 63.7869i | −0.0435225 | + | 0.148224i | ||||
\(58\) | −102.439 | + | 348.874i | −0.231911 | + | 0.789817i | ||||
\(59\) | −36.5267 | − | 79.9824i | −0.0805996 | − | 0.176488i | 0.865042 | − | 0.501700i | \(-0.167292\pi\) |
−0.945641 | + | 0.325211i | \(0.894565\pi\) | |||||||
\(60\) | 143.636 | + | 37.6528i | 0.309056 | + | 0.0810160i | ||||
\(61\) | 21.9653 | − | 25.3493i | 0.0461044 | − | 0.0532074i | −0.732229 | − | 0.681059i | \(-0.761520\pi\) |
0.778333 | + | 0.627851i | \(0.216065\pi\) | |||||||
\(62\) | 426.431 | + | 194.745i | 0.873497 | + | 0.398913i | ||||
\(63\) | −113.984 | + | 177.363i | −0.227947 | + | 0.354692i | ||||
\(64\) | 9.10815 | + | 63.3486i | 0.0177894 | + | 0.123728i | ||||
\(65\) | 39.2754 | + | 79.7475i | 0.0749463 | + | 0.152176i | ||||
\(66\) | −228.140 | − | 263.287i | −0.425486 | − | 0.491037i | ||||
\(67\) | 123.181 | + | 419.515i | 0.224611 | + | 0.764954i | 0.992270 | + | 0.124096i | \(0.0396031\pi\) |
−0.767659 | + | 0.640858i | \(0.778579\pi\) | |||||||
\(68\) | 327.703i | 0.584409i | ||||||||
\(69\) | 135.457 | − | 340.276i | 0.236334 | − | 0.593687i | ||||
\(70\) | 293.198 | + | 33.4430i | 0.500627 | + | 0.0571029i | ||||
\(71\) | 171.501 | − | 50.3573i | 0.286668 | − | 0.0841734i | −0.135237 | − | 0.990813i | \(-0.543180\pi\) |
0.421905 | + | 0.906640i | \(0.361361\pi\) | |||||||
\(72\) | −96.5874 | + | 83.6934i | −0.158096 | + | 0.136991i | ||||
\(73\) | −376.712 | − | 586.176i | −0.603984 | − | 0.939818i | −0.999769 | − | 0.0214748i | \(-0.993164\pi\) |
0.395785 | − | 0.918343i | \(-0.370473\pi\) | |||||||
\(74\) | −42.0747 | − | 292.636i | −0.0660957 | − | 0.459706i | ||||
\(75\) | 297.252 | − | 289.655i | 0.457650 | − | 0.445953i | ||||
\(76\) | −33.2698 | + | 72.8508i | −0.0502146 | + | 0.109955i | ||||
\(77\) | −523.241 | − | 453.391i | −0.774401 | − | 0.671023i | ||||
\(78\) | 52.2622 | + | 7.51417i | 0.0758657 | + | 0.0109078i | ||||
\(79\) | −162.017 | − | 354.767i | −0.230738 | − | 0.505246i | 0.758480 | − | 0.651696i | \(-0.225942\pi\) |
−0.989218 | + | 0.146451i | \(0.953215\pi\) | |||||||
\(80\) | 164.822 | + | 69.5247i | 0.230346 | + | 0.0971637i | ||||
\(81\) | 40.7299 | + | 11.9594i | 0.0558709 | + | 0.0164052i | ||||
\(82\) | 432.479 | − | 197.506i | 0.582430 | − | 0.265987i | ||||
\(83\) | −958.865 | − | 137.864i | −1.26806 | − | 0.182320i | −0.524745 | − | 0.851260i | \(-0.675839\pi\) |
−0.743316 | + | 0.668940i | \(0.766748\pi\) | |||||||
\(84\) | 114.782 | − | 132.465i | 0.149092 | − | 0.172061i | ||||
\(85\) | 784.695 | + | 472.474i | 1.00132 | + | 0.602906i | ||||
\(86\) | 459.636 | + | 295.390i | 0.576323 | + | 0.370380i | ||||
\(87\) | 597.495 | − | 85.9068i | 0.736301 | − | 0.105864i | ||||
\(88\) | −226.903 | − | 353.068i | −0.274863 | − | 0.427695i | ||||
\(89\) | 902.682 | + | 1041.75i | 1.07510 | + | 1.24073i | 0.969178 | + | 0.246360i | \(0.0792345\pi\) |
0.105924 | + | 0.994374i | \(0.466220\pi\) | |||||||
\(90\) | 61.1492 | + | 351.949i | 0.0716188 | + | 0.412207i | ||||
\(91\) | 104.931 | 0.120876 | ||||||||
\(92\) | 219.863 | − | 382.534i | 0.249155 | − | 0.433499i | ||||
\(93\) | − | 778.277i | − | 0.867780i | ||||||
\(94\) | −843.065 | + | 247.546i | −0.925058 | + | 0.271622i | ||||
\(95\) | 126.476 | + | 184.700i | 0.136591 | + | 0.199472i | ||||
\(96\) | 89.3836 | − | 57.4434i | 0.0950279 | − | 0.0610707i | ||||
\(97\) | 125.014 | − | 17.9742i | 0.130858 | − | 0.0188145i | −0.0765747 | − | 0.997064i | \(-0.524398\pi\) |
0.207432 | + | 0.978249i | \(0.433489\pi\) | |||||||
\(98\) | −182.556 | + | 284.062i | −0.188173 | + | 0.292802i | ||||
\(99\) | 348.157 | − | 762.358i | 0.353446 | − | 0.773938i | ||||
\(100\) | 404.116 | − | 294.433i | 0.404116 | − | 0.294433i | ||||
\(101\) | −44.6139 | + | 310.296i | −0.0439529 | + | 0.305699i | 0.955972 | + | 0.293457i | \(0.0948059\pi\) |
−0.999925 | + | 0.0122419i | \(0.996103\pi\) | |||||||
\(102\) | 494.876 | − | 226.002i | 0.480393 | − | 0.219388i | ||||
\(103\) | 246.819 | − | 840.588i | 0.236114 | − | 0.804132i | −0.753132 | − | 0.657870i | \(-0.771458\pi\) |
0.989246 | − | 0.146262i | \(-0.0467242\pi\) | |||||||
\(104\) | 61.0311 | + | 17.9204i | 0.0575442 | + | 0.0168965i | ||||
\(105\) | −151.703 | − | 465.834i | −0.140997 | − | 0.432960i | ||||
\(106\) | −53.1359 | + | 369.568i | −0.0486888 | + | 0.338638i | ||||
\(107\) | −1279.99 | − | 1109.12i | −1.15646 | − | 1.00208i | −0.999896 | − | 0.0144106i | \(-0.995413\pi\) |
−0.156564 | − | 0.987668i | \(-0.550042\pi\) | |||||||
\(108\) | 519.191 | + | 237.106i | 0.462585 | + | 0.211255i | ||||
\(109\) | 1853.12 | + | 1190.93i | 1.62841 | + | 1.04652i | 0.950197 | + | 0.311651i | \(0.100882\pi\) |
0.678214 | + | 0.734865i | \(0.262754\pi\) | |||||||
\(110\) | −1172.57 | + | 34.2816i | −1.01637 | + | 0.0297147i | ||||
\(111\) | −412.903 | + | 265.357i | −0.353073 | + | 0.226906i | ||||
\(112\) | 159.581 | − | 138.278i | 0.134634 | − | 0.116661i | ||||
\(113\) | 221.409 | + | 754.050i | 0.184322 | + | 0.627744i | 0.998865 | + | 0.0476397i | \(0.0151699\pi\) |
−0.814542 | + | 0.580104i | \(0.803012\pi\) | |||||||
\(114\) | 132.959 | 0.109235 | ||||||||
\(115\) | −598.997 | − | 1078.00i | −0.485711 | − | 0.874119i | ||||
\(116\) | 727.205 | 0.582062 | ||||||||
\(117\) | 35.7857 | + | 121.875i | 0.0282768 | + | 0.0963019i | ||||
\(118\) | −132.904 | + | 115.162i | −0.103684 | + | 0.0898431i | ||||
\(119\) | 909.558 | − | 584.537i | 0.700664 | − | 0.450290i | ||||
\(120\) | −8.67882 | − | 296.852i | −0.00660220 | − | 0.225823i | ||||
\(121\) | 1195.60 | + | 768.365i | 0.898271 | + | 0.577284i | ||||
\(122\) | −61.0217 | − | 27.8677i | −0.0452840 | − | 0.0206805i | ||||
\(123\) | −596.524 | − | 516.891i | −0.437291 | − | 0.378915i | ||||
\(124\) | 133.433 | − | 928.047i | 0.0966342 | − | 0.672105i | ||||
\(125\) | −122.384 | − | 1392.17i | −0.0875712 | − | 0.996158i | ||||
\(126\) | 404.583 | + | 118.796i | 0.286056 | + | 0.0839937i | ||||
\(127\) | −246.261 | + | 838.687i | −0.172064 | + | 0.585996i | 0.827631 | + | 0.561273i | \(0.189688\pi\) |
−0.999694 | + | 0.0247223i | \(0.992130\pi\) | |||||||
\(128\) | 116.433 | − | 53.1731i | 0.0804009 | − | 0.0367178i | ||||
\(129\) | 129.089 | − | 897.831i | 0.0881056 | − | 0.612788i | ||||
\(130\) | 130.904 | − | 120.304i | 0.0883158 | − | 0.0811642i | ||||
\(131\) | 91.4870 | − | 200.329i | 0.0610172 | − | 0.133609i | −0.876667 | − | 0.481098i | \(-0.840238\pi\) |
0.937684 | + | 0.347489i | \(0.112965\pi\) | |||||||
\(132\) | −376.696 | + | 586.150i | −0.248388 | + | 0.386499i | ||||
\(133\) | 261.546 | − | 37.6047i | 0.170518 | − | 0.0245168i | ||||
\(134\) | 735.635 | − | 472.764i | 0.474248 | − | 0.304781i | ||||
\(135\) | 1316.32 | − | 901.364i | 0.839188 | − | 0.574645i | ||||
\(136\) | 628.857 | − | 184.649i | 0.396500 | − | 0.116423i | ||||
\(137\) | 1831.11i | 1.14191i | 0.820980 | + | 0.570957i | \(0.193428\pi\) | ||||
−0.820980 | + | 0.570957i | \(0.806572\pi\) | |||||||
\(138\) | −729.309 | − | 68.2058i | −0.449876 | − | 0.0420729i | ||||
\(139\) | −2830.40 | −1.72713 | −0.863566 | − | 0.504236i | \(-0.831774\pi\) | ||||
−0.863566 | + | 0.504236i | \(0.831774\pi\) | |||||||
\(140\) | −101.030 | − | 581.487i | −0.0609902 | − | 0.351033i | ||||
\(141\) | 955.254 | + | 1102.42i | 0.570545 | + | 0.658445i | ||||
\(142\) | −193.270 | − | 300.734i | −0.114217 | − | 0.177726i | ||||
\(143\) | −412.874 | + | 59.3623i | −0.241442 | + | 0.0347142i | ||||
\(144\) | 215.030 | + | 138.191i | 0.124439 | + | 0.0799719i | ||||
\(145\) | 1048.47 | − | 1741.31i | 0.600485 | − | 0.997299i | ||||
\(146\) | −912.599 | + | 1053.20i | −0.517310 | + | 0.597007i | ||||
\(147\) | 554.874 | + | 79.7788i | 0.311328 | + | 0.0447622i | ||||
\(148\) | −537.856 | + | 245.631i | −0.298726 | + | 0.136424i | ||||
\(149\) | −1707.04 | − | 501.232i | −0.938565 | − | 0.275588i | −0.223547 | − | 0.974693i | \(-0.571764\pi\) |
−0.715018 | + | 0.699106i | \(0.753582\pi\) | |||||||
\(150\) | −723.335 | − | 407.213i | −0.393734 | − | 0.221659i | ||||
\(151\) | 1477.83 | + | 3236.01i | 0.796454 | + | 1.74399i | 0.657176 | + | 0.753737i | \(0.271751\pi\) |
0.139277 | + | 0.990253i | \(0.455522\pi\) | |||||||
\(152\) | 158.546 | + | 22.7955i | 0.0846038 | + | 0.0121642i | ||||
\(153\) | 989.123 | + | 857.080i | 0.522653 | + | 0.452881i | ||||
\(154\) | −575.223 | + | 1259.56i | −0.300992 | + | 0.659081i | ||||
\(155\) | −2029.86 | − | 1657.55i | −1.05188 | − | 0.858950i | ||||
\(156\) | −15.0283 | − | 104.524i | −0.00771301 | − | 0.0536452i | ||||
\(157\) | 962.805 | + | 1498.15i | 0.489428 | + | 0.761565i | 0.994855 | − | 0.101304i | \(-0.0323016\pi\) |
−0.505428 | + | 0.862869i | \(0.668665\pi\) | |||||||
\(158\) | −589.502 | + | 510.806i | −0.296824 | + | 0.257200i | ||||
\(159\) | 594.745 | − | 174.633i | 0.296644 | − | 0.0871024i | ||||
\(160\) | 40.5454 | − | 355.466i | 0.0200337 | − | 0.175638i | ||||
\(161\) | −1453.92 | + | 72.1008i | −0.711710 | + | 0.0352940i | ||||
\(162\) | − | 84.8988i | − | 0.0411746i | ||||||
\(163\) | 919.251 | + | 3130.68i | 0.441726 | + | 1.50438i | 0.816545 | + | 0.577281i | \(0.195886\pi\) |
−0.374820 | + | 0.927098i | \(0.622295\pi\) | |||||||
\(164\) | −622.699 | − | 718.633i | −0.296492 | − | 0.342169i | ||||
\(165\) | 860.444 | + | 1747.11i | 0.405973 | + | 0.824316i | ||||
\(166\) | 275.728 | + | 1917.73i | 0.128919 | + | 0.896655i | ||||
\(167\) | 87.4405 | − | 136.060i | 0.0405170 | − | 0.0630458i | −0.820404 | − | 0.571784i | \(-0.806252\pi\) |
0.860921 | + | 0.508738i | \(0.169888\pi\) | |||||||
\(168\) | −318.875 | − | 145.625i | −0.146439 | − | 0.0668764i | ||||
\(169\) | −1397.33 | + | 1612.60i | −0.636017 | + | 0.734003i | ||||
\(170\) | 464.523 | − | 1772.04i | 0.209572 | − | 0.799466i | ||||
\(171\) | 132.875 | + | 290.955i | 0.0594222 | + | 0.130116i | ||||
\(172\) | 307.860 | − | 1048.48i | 0.136478 | − | 0.464800i | ||||
\(173\) | 233.784 | − | 796.196i | 0.102742 | − | 0.349906i | −0.892037 | − | 0.451962i | \(-0.850724\pi\) |
0.994779 | + | 0.102057i | \(0.0325423\pi\) | |||||||
\(174\) | −501.522 | − | 1098.18i | −0.218507 | − | 0.478464i | ||||
\(175\) | −1538.05 | − | 596.454i | −0.664377 | − | 0.257644i | ||||
\(176\) | −549.680 | + | 634.364i | −0.235419 | + | 0.271688i | ||||
\(177\) | 265.568 | + | 121.281i | 0.112776 | + | 0.0515029i | ||||
\(178\) | 1490.47 | − | 2319.22i | 0.627617 | − | 0.976591i | ||||
\(179\) | −21.1538 | − | 147.128i | −0.00883302 | − | 0.0614350i | 0.984928 | − | 0.172964i | \(-0.0553344\pi\) |
−0.993761 | + | 0.111529i | \(0.964425\pi\) | |||||||
\(180\) | 640.929 | − | 315.655i | 0.265400 | − | 0.130709i | ||||
\(181\) | 1789.79 | + | 2065.53i | 0.734995 | + | 0.848229i | 0.993025 | − | 0.117908i | \(-0.0376188\pi\) |
−0.258030 | + | 0.966137i | \(0.583073\pi\) | |||||||
\(182\) | −59.1249 | − | 201.361i | −0.0240804 | − | 0.0820102i | ||||
\(183\) | 111.370i | 0.0449876i | ||||||||
\(184\) | −857.963 | − | 206.369i | −0.343749 | − | 0.0826832i | ||||
\(185\) | −187.298 | + | 1642.06i | −0.0744346 | + | 0.652576i | ||||
\(186\) | −1493.50 | + | 438.532i | −0.588757 | + | 0.172875i | ||||
\(187\) | −3248.17 | + | 2814.56i | −1.27021 | + | 1.10065i | ||||
\(188\) | 950.075 | + | 1478.35i | 0.368571 | + | 0.573508i | ||||
\(189\) | −268.000 | − | 1863.98i | −0.103144 | − | 0.717379i | ||||
\(190\) | 283.172 | − | 346.777i | 0.108124 | − | 0.132410i | ||||
\(191\) | 245.794 | − | 538.214i | 0.0931153 | − | 0.203894i | −0.857343 | − | 0.514745i | \(-0.827887\pi\) |
0.950459 | + | 0.310851i | \(0.100614\pi\) | |||||||
\(192\) | −160.598 | − | 139.159i | −0.0603652 | − | 0.0523068i | ||||
\(193\) | 4168.44 | + | 599.331i | 1.55467 | + | 0.223527i | 0.865438 | − | 0.501016i | \(-0.167040\pi\) |
0.689229 | + | 0.724543i | \(0.257949\pi\) | |||||||
\(194\) | −104.933 | − | 229.771i | −0.0388338 | − | 0.0850342i | ||||
\(195\) | −271.954 | − | 114.715i | −0.0998721 | − | 0.0421277i | ||||
\(196\) | 647.975 | + | 190.263i | 0.236142 | + | 0.0693377i | ||||
\(197\) | −2705.83 | + | 1235.71i | −0.978592 | + | 0.446908i | −0.839493 | − | 0.543370i | \(-0.817148\pi\) |
−0.139099 | + | 0.990278i | \(0.544421\pi\) | |||||||
\(198\) | −1659.13 | − | 238.547i | −0.595501 | − | 0.0856201i | ||||
\(199\) | 193.225 | − | 222.993i | 0.0688308 | − | 0.0794350i | −0.720290 | − | 0.693673i | \(-0.755991\pi\) |
0.789121 | + | 0.614238i | \(0.210537\pi\) | |||||||
\(200\) | −792.717 | − | 609.590i | −0.280268 | − | 0.215522i | ||||
\(201\) | −1221.28 | − | 784.866i | −0.428568 | − | 0.275424i | ||||
\(202\) | 620.592 | − | 89.2277i | 0.216162 | − | 0.0310794i | ||||
\(203\) | −1297.15 | − | 2018.40i | −0.448482 | − | 0.697851i | ||||
\(204\) | −712.541 | − | 822.316i | −0.244548 | − | 0.282224i | ||||
\(205\) | −2618.58 | + | 454.965i | −0.892145 | + | 0.155005i | ||||
\(206\) | −1752.15 | −0.592612 | ||||||||
\(207\) | −579.591 | − | 1664.11i | −0.194610 | − | 0.558762i | ||||
\(208\) | − | 127.215i | − | 0.0424077i | ||||||
\(209\) | −1007.84 | + | 295.928i | −0.333558 | + | 0.0979415i | ||||
\(210\) | −808.450 | + | 553.597i | −0.265659 | + | 0.181913i | ||||
\(211\) | −3624.09 | + | 2329.06i | −1.18243 | + | 0.759902i | −0.975832 | − | 0.218524i | \(-0.929876\pi\) |
−0.206599 | + | 0.978426i | \(0.566239\pi\) | |||||||
\(212\) | 739.137 | − | 106.272i | 0.239453 | − | 0.0344282i | ||||
\(213\) | −320.860 | + | 499.268i | −0.103216 | + | 0.160607i | ||||
\(214\) | −1407.15 | + | 3081.23i | −0.449490 | + | 0.984246i | ||||
\(215\) | −2066.74 | − | 2248.85i | −0.655585 | − | 0.713350i | ||||
\(216\) | 162.458 | − | 1129.92i | 0.0511753 | − | 0.355932i | ||||
\(217\) | −2813.86 | + | 1285.05i | −0.880263 | + | 0.402003i | ||||
\(218\) | 1241.21 | − | 4227.16i | 0.385620 | − | 1.31330i | ||||
\(219\) | 2219.85 | + | 651.807i | 0.684948 | + | 0.201119i | ||||
\(220\) | 726.490 | + | 2230.84i | 0.222636 | + | 0.683650i | ||||
\(221\) | 92.7022 | − | 644.758i | 0.0282164 | − | 0.196249i | ||||
\(222\) | 741.873 | + | 642.836i | 0.224285 | + | 0.194344i | ||||
\(223\) | 222.544 | + | 101.633i | 0.0668281 | + | 0.0305194i | 0.448549 | − | 0.893758i | \(-0.351941\pi\) |
−0.381721 | + | 0.924278i | \(0.624668\pi\) | |||||||
\(224\) | −355.271 | − | 228.319i | −0.105971 | − | 0.0681036i | ||||
\(225\) | 168.229 | − | 1989.83i | 0.0498457 | − | 0.589579i | ||||
\(226\) | 1322.25 | − | 849.762i | 0.389182 | − | 0.250112i | ||||
\(227\) | 1568.69 | − | 1359.28i | 0.458667 | − | 0.397438i | −0.394648 | − | 0.918832i | \(-0.629134\pi\) |
0.853316 | + | 0.521395i | \(0.174588\pi\) | |||||||
\(228\) | −74.9180 | − | 255.147i | −0.0217613 | − | 0.0741121i | ||||
\(229\) | −4207.44 | −1.21413 | −0.607065 | − | 0.794652i | \(-0.707653\pi\) | ||||
−0.607065 | + | 0.794652i | \(0.707653\pi\) | |||||||
\(230\) | −1731.15 | + | 1756.88i | −0.496297 | + | 0.503675i | ||||
\(231\) | 2298.82 | 0.654768 | ||||||||
\(232\) | −409.754 | − | 1395.50i | −0.115956 | − | 0.394908i | ||||
\(233\) | −1360.57 | + | 1178.94i | −0.382548 | + | 0.331479i | −0.824814 | − | 0.565404i | \(-0.808720\pi\) |
0.442266 | + | 0.896884i | \(0.354175\pi\) | |||||||
\(234\) | 213.712 | − | 137.344i | 0.0597042 | − | 0.0383696i | ||||
\(235\) | 4909.74 | − | 143.542i | 1.36288 | − | 0.0398453i | ||||
\(236\) | 295.880 | + | 190.150i | 0.0816108 | + | 0.0524481i | ||||
\(237\) | 1177.94 | + | 537.948i | 0.322851 | + | 0.147441i | ||||
\(238\) | −1634.22 | − | 1416.06i | −0.445088 | − | 0.385671i | ||||
\(239\) | 771.659 | − | 5367.00i | 0.208847 | − | 1.45256i | −0.568080 | − | 0.822973i | \(-0.692314\pi\) |
0.776927 | − | 0.629590i | \(-0.216777\pi\) | |||||||
\(240\) | −564.765 | + | 183.920i | −0.151898 | + | 0.0494667i | ||||
\(241\) | 129.928 | + | 38.1502i | 0.0347277 | + | 0.0101970i | 0.299050 | − | 0.954237i | \(-0.403330\pi\) |
−0.264323 | + | 0.964434i | \(0.585148\pi\) | |||||||
\(242\) | 800.803 | − | 2727.28i | 0.212717 | − | 0.724448i | ||||
\(243\) | 3376.33 | − | 1541.92i | 0.891323 | − | 0.407054i | ||||
\(244\) | −19.0941 | + | 132.802i | −0.00500973 | + | 0.0348434i | ||||
\(245\) | 1389.82 | − | 1277.28i | 0.362419 | − | 0.333071i | ||||
\(246\) | −655.786 | + | 1435.97i | −0.169965 | + | 0.372172i | ||||
\(247\) | 86.0671 | − | 133.923i | 0.0221713 | − | 0.0344992i | ||||
\(248\) | −1856.09 | + | 266.866i | −0.475250 | + | 0.0683307i | ||||
\(249\) | 2705.88 | − | 1738.96i | 0.688667 | − | 0.442579i | ||||
\(250\) | −2602.60 | + | 1019.30i | −0.658412 | + | 0.257864i | ||||
\(251\) | −6055.21 | + | 1777.97i | −1.52271 | + | 0.447109i | −0.932812 | − | 0.360364i | \(-0.882652\pi\) |
−0.589903 | + | 0.807474i | \(0.700834\pi\) | |||||||
\(252\) | − | 843.326i | − | 0.210812i | ||||||
\(253\) | 5680.00 | − | 1106.22i | 1.41146 | − | 0.274892i | ||||
\(254\) | 1748.19 | 0.431855 | ||||||||
\(255\) | −2996.39 | + | 520.607i | −0.735847 | + | 0.127850i | ||||
\(256\) | −167.644 | − | 193.472i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 2615.55 | + | 4069.87i | 0.634838 | + | 0.987827i | 0.998416 | + | 0.0562631i | \(0.0179186\pi\) |
−0.363578 | + | 0.931564i | \(0.618445\pi\) | |||||||
\(258\) | −1795.66 | + | 258.177i | −0.433306 | + | 0.0623001i | ||||
\(259\) | 1641.16 | + | 1054.71i | 0.393732 | + | 0.253036i | ||||
\(260\) | −304.621 | − | 183.416i | −0.0726608 | − | 0.0437499i | ||||
\(261\) | 1901.94 | − | 2194.96i | 0.451063 | − | 0.520554i | ||||
\(262\) | −435.977 | − | 62.6841i | −0.102804 | − | 0.0147811i | ||||
\(263\) | −3508.10 | + | 1602.09i | −0.822503 | + | 0.375625i | −0.781787 | − | 0.623546i | \(-0.785691\pi\) |
−0.0407168 | + | 0.999171i | \(0.512964\pi\) | |||||||
\(264\) | 1337.07 | + | 392.599i | 0.311708 | + | 0.0915257i | ||||
\(265\) | 811.198 | − | 1923.11i | 0.188043 | − | 0.445794i | ||||
\(266\) | −219.535 | − | 480.715i | −0.0506036 | − | 0.110806i | ||||
\(267\) | −4530.26 | − | 651.354i | −1.03838 | − | 0.149297i | ||||
\(268\) | −1321.73 | − | 1145.29i | −0.301260 | − | 0.261043i | ||||
\(269\) | 147.868 | − | 323.785i | 0.0335154 | − | 0.0733885i | −0.892134 | − | 0.451771i | \(-0.850792\pi\) |
0.925649 | + | 0.378383i | \(0.123520\pi\) | |||||||
\(270\) | −2471.40 | − | 2018.10i | −0.557055 | − | 0.454881i | ||||
\(271\) | 1025.70 | + | 7133.90i | 0.229914 | + | 1.59909i | 0.698459 | + | 0.715650i | \(0.253869\pi\) |
−0.468545 | + | 0.883440i | \(0.655222\pi\) | |||||||
\(272\) | −708.678 | − | 1102.72i | −0.157978 | − | 0.245818i | ||||
\(273\) | −263.307 | + | 228.157i | −0.0583738 | + | 0.0505812i | ||||
\(274\) | 3513.87 | − | 1031.77i | 0.774748 | − | 0.227487i | ||||
\(275\) | 6389.25 | + | 1476.76i | 1.40104 | + | 0.323826i | ||||
\(276\) | 280.054 | + | 1437.97i | 0.0610772 | + | 0.313606i | ||||
\(277\) | − | 4809.39i | − | 1.04321i | −0.853188 | − | 0.521603i | \(-0.825334\pi\) | ||
0.853188 | − | 0.521603i | \(-0.174666\pi\) | |||||||
\(278\) | 1594.83 | + | 5431.50i | 0.344071 | + | 1.17180i | ||||
\(279\) | −2452.19 | − | 2829.98i | −0.526197 | − | 0.607263i | ||||
\(280\) | −1058.94 | + | 521.524i | −0.226013 | + | 0.111311i | ||||
\(281\) | 210.718 | + | 1465.57i | 0.0447344 | + | 0.311134i | 0.999887 | + | 0.0150210i | \(0.00478151\pi\) |
−0.955153 | + | 0.296113i | \(0.904309\pi\) | |||||||
\(282\) | 1577.28 | − | 2454.30i | 0.333070 | − | 0.518267i | ||||
\(283\) | 1684.83 | + | 769.437i | 0.353897 | + | 0.161619i | 0.584428 | − | 0.811446i | \(-0.301319\pi\) |
−0.230531 | + | 0.973065i | \(0.574046\pi\) | |||||||
\(284\) | −468.203 | + | 540.335i | −0.0978266 | + | 0.112898i | ||||
\(285\) | −718.974 | − | 188.472i | −0.149433 | − | 0.0391723i | ||||
\(286\) | 346.555 | + | 758.851i | 0.0716512 | + | 0.156894i | ||||
\(287\) | −883.872 | + | 3010.19i | −0.181789 | + | 0.619115i | ||||
\(288\) | 144.026 | − | 490.506i | 0.0294680 | − | 0.100359i | ||||
\(289\) | −747.256 | − | 1636.26i | −0.152098 | − | 0.333047i | ||||
\(290\) | −3932.33 | − | 1030.82i | −0.796257 | − | 0.208731i | ||||
\(291\) | −274.619 | + | 316.927i | −0.0553211 | + | 0.0638440i | ||||
\(292\) | 2535.29 | + | 1157.83i | 0.508104 | + | 0.232043i | ||||
\(293\) | 1815.56 | − | 2825.06i | 0.362000 | − | 0.563282i | −0.611708 | − | 0.791084i | \(-0.709517\pi\) |
0.973708 | + | 0.227801i | \(0.0731536\pi\) | |||||||
\(294\) | −159.558 | − | 1109.75i | −0.0316517 | − | 0.220142i | ||||
\(295\) | 881.914 | − | 434.339i | 0.174058 | − | 0.0857228i | ||||
\(296\) | 774.425 | + | 893.734i | 0.152069 | + | 0.175497i | ||||
\(297\) | 2109.01 | + | 7182.63i | 0.412045 | + | 1.40330i | ||||
\(298\) | 3558.21i | 0.691684i | ||||||||
\(299\) | −540.795 | + | 690.443i | −0.104599 | + | 0.133543i | ||||
\(300\) | −373.861 | + | 1617.52i | −0.0719497 | + | 0.311292i | ||||
\(301\) | −3459.25 | + | 1015.73i | −0.662418 | + | 0.194504i | ||||
\(302\) | 5377.14 | − | 4659.32i | 1.02457 | − | 0.887794i | ||||
\(303\) | −562.742 | − | 875.644i | −0.106695 | − | 0.166021i | ||||
\(304\) | −45.5909 | − | 317.092i | −0.00860138 | − | 0.0598239i | ||||
\(305\) | 290.470 | + | 237.192i | 0.0545320 | + | 0.0445298i | ||||
\(306\) | 1087.39 | − | 2381.05i | 0.203143 | − | 0.444822i | ||||
\(307\) | −2637.97 | − | 2285.82i | −0.490414 | − | 0.424946i | 0.374226 | − | 0.927337i | \(-0.377908\pi\) |
−0.864640 | + | 0.502391i | \(0.832454\pi\) | |||||||
\(308\) | 2741.20 | + | 394.125i | 0.507125 | + | 0.0729136i | ||||
\(309\) | 1208.38 | + | 2645.99i | 0.222468 | + | 0.487136i | ||||
\(310\) | −2037.05 | + | 4829.24i | −0.373215 | + | 0.884781i | ||||
\(311\) | 5349.81 | + | 1570.85i | 0.975434 | + | 0.286413i | 0.730338 | − | 0.683085i | \(-0.239362\pi\) |
0.245096 | + | 0.969499i | \(0.421181\pi\) | |||||||
\(312\) | −192.113 | + | 87.7350i | −0.0348598 | + | 0.0159199i | ||||
\(313\) | 10099.1 | + | 1452.04i | 1.82376 | + | 0.262217i | 0.967234 | − | 0.253887i | \(-0.0817092\pi\) |
0.856526 | + | 0.516104i | \(0.172618\pi\) | |||||||
\(314\) | 2332.43 | − | 2691.77i | 0.419193 | − | 0.483774i | ||||
\(315\) | −2019.37 | − | 1215.89i | −0.361202 | − | 0.217484i | ||||
\(316\) | 1312.39 | + | 843.424i | 0.233633 | + | 0.150147i | ||||
\(317\) | −1035.16 | + | 148.834i | −0.183408 | + | 0.0263701i | −0.233407 | − | 0.972379i | \(-0.574987\pi\) |
0.0499987 | + | 0.998749i | \(0.484078\pi\) | |||||||
\(318\) | −670.236 | − | 1042.91i | −0.118192 | − | 0.183910i | ||||
\(319\) | 6245.78 | + | 7208.01i | 1.09623 | + | 1.26511i | ||||
\(320\) | −704.980 | + | 122.487i | −0.123155 | + | 0.0213975i | ||||
\(321\) | 5623.53 | 0.977804 | ||||||||
\(322\) | 957.596 | + | 2749.43i | 0.165729 | + | 0.475838i | ||||
\(323\) | − | 1640.32i | − | 0.282569i | ||||||
\(324\) | −162.920 | + | 47.8375i | −0.0279355 | + | 0.00820259i | ||||
\(325\) | −878.391 | + | 464.981i | −0.149921 | + | 0.0793615i | ||||
\(326\) | 5489.76 | − | 3528.06i | 0.932669 | − | 0.599390i | ||||
\(327\) | −7239.60 | + | 1040.90i | −1.22431 | + | 0.176030i | ||||
\(328\) | −1028.18 | + | 1599.87i | −0.173084 | + | 0.269324i | ||||
\(329\) | 2408.54 | − | 5273.98i | 0.403609 | − | 0.883780i | ||||
\(330\) | 2867.84 | − | 2635.61i | 0.478393 | − | 0.439654i | ||||
\(331\) | 923.017 | − | 6419.72i | 0.153274 | − | 1.06604i | −0.757411 | − | 0.652939i | \(-0.773536\pi\) |
0.910684 | − | 0.413103i | \(-0.135555\pi\) | |||||||
\(332\) | 3524.73 | − | 1609.69i | 0.582665 | − | 0.266094i | ||||
\(333\) | −665.319 | + | 2265.87i | −0.109487 | + | 0.372879i | ||||
\(334\) | −310.367 | − | 91.1320i | −0.0508459 | − | 0.0149297i | ||||
\(335\) | −4648.07 | + | 1513.68i | −0.758063 | + | 0.246870i | ||||
\(336\) | −99.7779 | + | 693.971i | −0.0162004 | + | 0.112676i | ||||
\(337\) | −3218.45 | − | 2788.80i | −0.520238 | − | 0.450789i | 0.354731 | − | 0.934969i | \(-0.384573\pi\) |
−0.874969 | + | 0.484180i | \(0.839118\pi\) | |||||||
\(338\) | 3881.91 | + | 1772.81i | 0.624699 | + | 0.285290i | ||||
\(339\) | −2195.16 | − | 1410.74i | −0.351695 | − | 0.226021i | ||||
\(340\) | −3662.26 | + | 107.070i | −0.584159 | + | 0.0170786i | ||||
\(341\) | 10344.8 | − | 6648.18i | 1.64282 | − | 1.05577i | ||||
\(342\) | 483.469 | − | 418.928i | 0.0764416 | − | 0.0662370i | ||||
\(343\) | −1903.04 | − | 6481.17i | −0.299576 | − | 1.02026i | ||||
\(344\) | −2185.48 | −0.342538 | ||||||||
\(345\) | 3847.03 | + | 1402.63i | 0.600340 | + | 0.218883i | ||||
\(346\) | −1659.62 | −0.257866 | ||||||||
\(347\) | −2203.97 | − | 7506.05i | −0.340967 | − | 1.16123i | −0.934365 | − | 0.356318i | \(-0.884032\pi\) |
0.593398 | − | 0.804909i | \(-0.297786\pi\) | |||||||
\(348\) | −1824.80 | + | 1581.20i | −0.281091 | + | 0.243567i | ||||
\(349\) | −1452.98 | + | 933.773i | −0.222854 | + | 0.143220i | −0.647305 | − | 0.762231i | \(-0.724104\pi\) |
0.424450 | + | 0.905451i | \(0.360467\pi\) | |||||||
\(350\) | −277.947 | + | 3287.58i | −0.0424483 | + | 0.502082i | ||||
\(351\) | −954.438 | − | 613.380i | −0.145140 | − | 0.0932758i | ||||
\(352\) | 1527.06 | + | 697.386i | 0.231229 | + | 0.105599i | ||||
\(353\) | 7096.60 | + | 6149.24i | 1.07001 | + | 0.927169i | 0.997533 | − | 0.0702006i | \(-0.0223639\pi\) |
0.0724777 | + | 0.997370i | \(0.476909\pi\) | |||||||
\(354\) | 83.0978 | − | 577.958i | 0.0124763 | − | 0.0867744i | ||||
\(355\) | 618.806 | + | 1900.17i | 0.0925150 | + | 0.284086i | ||||
\(356\) | −5290.39 | − | 1553.40i | −0.787612 | − | 0.231264i | ||||
\(357\) | −1011.40 | + | 3444.50i | −0.149941 | + | 0.510651i | ||||
\(358\) | −270.417 | + | 123.495i | −0.0399218 | + | 0.0182317i | ||||
\(359\) | −534.051 | + | 3714.41i | −0.0785129 | + | 0.546069i | 0.912163 | + | 0.409828i | \(0.134411\pi\) |
−0.990676 | + | 0.136241i | \(0.956498\pi\) | |||||||
\(360\) | −966.879 | − | 1052.07i | −0.141553 | − | 0.154025i | ||||
\(361\) | −2682.80 | + | 5874.51i | −0.391136 | + | 0.856467i | ||||
\(362\) | 2955.23 | − | 4598.43i | 0.429071 | − | 0.667647i | ||||
\(363\) | −4670.86 | + | 671.568i | −0.675362 | + | 0.0971024i | ||||
\(364\) | −353.094 | + | 226.920i | −0.0508438 | + | 0.0326753i | ||||
\(365\) | 6427.76 | − | 4401.50i | 0.921766 | − | 0.631191i | ||||
\(366\) | 213.718 | − | 62.7533i | 0.0305225 | − | 0.00896221i | ||||
\(367\) | 8953.82i | 1.27353i | 0.771058 | + | 0.636765i | \(0.219728\pi\) | ||||
−0.771058 | + | 0.636765i | \(0.780272\pi\) | |||||||
\(368\) | 87.4131 | + | 1762.70i | 0.0123824 | + | 0.249693i | ||||
\(369\) | −3797.71 | −0.535774 | ||||||||
\(370\) | 3256.62 | − | 565.821i | 0.457578 | − | 0.0795018i | ||||
\(371\) | −1613.39 | − | 1861.96i | −0.225777 | − | 0.260560i | ||||
\(372\) | 1683.07 | + | 2618.91i | 0.234579 | + | 0.365011i | ||||
\(373\) | −10499.9 | + | 1509.66i | −1.45755 | + | 0.209564i | −0.825077 | − | 0.565021i | \(-0.808868\pi\) |
−0.632470 | + | 0.774584i | \(0.717959\pi\) | |||||||
\(374\) | 7231.32 | + | 4647.29i | 0.999794 | + | 0.642528i | ||||
\(375\) | 3334.18 | + | 3227.32i | 0.459137 | + | 0.444422i | ||||
\(376\) | 2301.59 | − | 2656.18i | 0.315679 | − | 0.364313i | ||||
\(377\) | −1430.78 | − | 205.715i | −0.195461 | − | 0.0281031i | ||||
\(378\) | −3425.94 | + | 1564.58i | −0.466168 | + | 0.212892i | ||||
\(379\) | 4361.70 | + | 1280.71i | 0.591150 | + | 0.173577i | 0.563606 | − | 0.826043i | \(-0.309413\pi\) |
0.0275431 | + | 0.999621i | \(0.491232\pi\) | |||||||
\(380\) | −825.019 | − | 348.007i | −0.111375 | − | 0.0469799i | ||||
\(381\) | −1205.65 | − | 2640.01i | −0.162119 | − | 0.354991i | ||||
\(382\) | −1171.32 | − | 168.410i | −0.156885 | − | 0.0225566i | ||||
\(383\) | −8240.23 | − | 7140.20i | −1.09936 | − | 0.952604i | −0.100261 | − | 0.994961i | \(-0.531968\pi\) |
−0.999103 | + | 0.0423571i | \(0.986513\pi\) | |||||||
\(384\) | −176.552 | + | 386.595i | −0.0234626 | + | 0.0513759i | ||||
\(385\) | 4895.94 | − | 5995.66i | 0.648105 | − | 0.793680i | ||||
\(386\) | −1198.66 | − | 8336.88i | −0.158058 | − | 1.09932i | ||||
\(387\) | −2359.49 | − | 3671.44i | −0.309921 | − | 0.482247i | ||||
\(388\) | −381.802 | + | 330.833i | −0.0499564 | + | 0.0432874i | ||||
\(389\) | −5240.25 | + | 1538.68i | −0.683011 | + | 0.200550i | −0.604789 | − | 0.796386i | \(-0.706743\pi\) |
−0.0782223 | + | 0.996936i | \(0.524924\pi\) | |||||||
\(390\) | −66.8994 | + | 586.514i | −0.00868611 | + | 0.0761521i | ||||
\(391\) | −841.454 | + | 8997.48i | −0.108834 | + | 1.16374i | ||||
\(392\) | − | 1350.66i | − | 0.174027i | ||||||
\(393\) | 206.013 | + | 701.617i | 0.0264427 | + | 0.0900557i | ||||
\(394\) | 3895.96 | + | 4496.18i | 0.498161 | + | 0.574909i | ||||
\(395\) | 3911.78 | − | 1926.54i | 0.498287 | − | 0.245404i | ||||
\(396\) | 477.093 | + | 3318.26i | 0.0605425 | + | 0.421083i | ||||
\(397\) | 7018.61 | − | 10921.2i | 0.887289 | − | 1.38065i | −0.0371461 | − | 0.999310i | \(-0.511827\pi\) |
0.924435 | − | 0.381339i | \(-0.124537\pi\) | |||||||
\(398\) | −536.796 | − | 245.147i | −0.0676059 | − | 0.0308746i | ||||
\(399\) | −574.542 | + | 663.057i | −0.0720879 | + | 0.0831939i | ||||
\(400\) | −723.125 | + | 1864.70i | −0.0903907 | + | 0.233087i | ||||
\(401\) | −1679.99 | − | 3678.66i | −0.209213 | − | 0.458114i | 0.775713 | − | 0.631085i | \(-0.217390\pi\) |
−0.984927 | + | 0.172972i | \(0.944663\pi\) | |||||||
\(402\) | −818.001 | + | 2785.85i | −0.101488 | + | 0.345636i | ||||
\(403\) | −525.061 | + | 1788.19i | −0.0649011 | + | 0.221033i | ||||
\(404\) | −520.909 | − | 1140.63i | −0.0641490 | − | 0.140467i | ||||
\(405\) | −120.345 | + | 459.087i | −0.0147654 | + | 0.0563265i | ||||
\(406\) | −3142.38 | + | 3626.50i | −0.384123 | + | 0.443301i | ||||
\(407\) | −7054.19 | − | 3221.54i | −0.859123 | − | 0.392349i | ||||
\(408\) | −1176.52 | + | 1830.70i | −0.142761 | + | 0.222140i | ||||
\(409\) | 1192.46 | + | 8293.77i | 0.144165 | + | 1.00269i | 0.925546 | + | 0.378636i | \(0.123607\pi\) |
−0.781381 | + | 0.624055i | \(0.785484\pi\) | |||||||
\(410\) | 2348.55 | + | 4768.66i | 0.282894 | + | 0.574409i | ||||
\(411\) | −3981.48 | − | 4594.87i | −0.477839 | − | 0.551456i | ||||
\(412\) | 987.275 | + | 3362.35i | 0.118057 | + | 0.402066i | ||||
\(413\) | − | 1160.41i | − | 0.138257i | ||||||
\(414\) | −2866.83 | + | 2049.89i | −0.340331 | + | 0.243350i | ||||
\(415\) | 1227.42 | − | 10760.9i | 0.145184 | − | 1.27285i | ||||
\(416\) | −244.125 | + | 71.6814i | −0.0287721 | + | 0.00844825i | ||||
\(417\) | 7102.42 | − | 6154.28i | 0.834070 | − | 0.722726i | ||||
\(418\) | 1135.76 | + | 1767.28i | 0.132900 | + | 0.206796i | ||||
\(419\) | −801.692 | − | 5575.89i | −0.0934731 | − | 0.650120i | −0.981660 | − | 0.190638i | \(-0.938944\pi\) |
0.888187 | − | 0.459482i | \(-0.151965\pi\) | |||||||
\(420\) | 1517.88 | + | 1239.47i | 0.176345 | + | 0.144000i | ||||
\(421\) | 5631.25 | − | 12330.7i | 0.651901 | − | 1.42746i | −0.237979 | − | 0.971270i | \(-0.576485\pi\) |
0.889880 | − | 0.456194i | \(-0.150788\pi\) | |||||||
\(422\) | 6511.49 | + | 5642.24i | 0.751124 | + | 0.650853i | ||||
\(423\) | 6947.02 | + | 998.830i | 0.798524 | + | 0.114810i | ||||
\(424\) | −620.412 | − | 1358.51i | −0.0710610 | − | 0.155602i | ||||
\(425\) | −5023.78 | + | 8923.78i | −0.573386 | + | 1.01851i | ||||
\(426\) | 1138.88 | + | 334.406i | 0.129528 | + | 0.0380329i | ||||
\(427\) | 402.659 | − | 183.888i | 0.0456348 | − | 0.0208407i | ||||
\(428\) | 6705.72 | + | 964.137i | 0.757320 | + | 0.108886i | ||||
\(429\) | 906.965 | − | 1046.69i | 0.102072 | − | 0.117797i | ||||
\(430\) | −3150.97 | + | 5233.20i | −0.353380 | + | 0.586901i | ||||
\(431\) | −8494.18 | − | 5458.88i | −0.949305 | − | 0.610081i | −0.0282861 | − | 0.999600i | \(-0.509005\pi\) |
−0.921018 | + | 0.389519i | \(0.872641\pi\) | |||||||
\(432\) | −2259.84 | + | 324.916i | −0.251682 | + | 0.0361864i | ||||
\(433\) | −4813.28 | − | 7489.61i | −0.534207 | − | 0.831242i | 0.464311 | − | 0.885672i | \(-0.346302\pi\) |
−0.998518 | + | 0.0544306i | \(0.982666\pi\) | |||||||
\(434\) | 4051.50 | + | 4675.68i | 0.448106 | + | 0.517142i | ||||
\(435\) | 1155.28 | + | 6649.28i | 0.127336 | + | 0.732893i | ||||
\(436\) | −8811.23 | −0.967848 | ||||||||
\(437\) | −1100.53 | + | 1914.78i | −0.120470 | + | 0.209603i | ||||
\(438\) | − | 4627.13i | − | 0.504779i | ||||||
\(439\) | −9810.45 | + | 2880.61i | −1.06658 | + | 0.313175i | −0.767497 | − | 0.641053i | \(-0.778498\pi\) |
−0.299080 | + | 0.954228i | \(0.596680\pi\) | |||||||
\(440\) | 3871.59 | − | 2651.12i | 0.419479 | − | 0.287244i | ||||
\(441\) | 2269.01 | − | 1458.20i | 0.245007 | − | 0.157456i | ||||
\(442\) | −1289.52 | + | 185.404i | −0.138769 | + | 0.0199520i | ||||
\(443\) | −1881.34 | + | 2927.43i | −0.201773 | + | 0.313964i | −0.927363 | − | 0.374162i | \(-0.877930\pi\) |
0.725591 | + | 0.688127i | \(0.241567\pi\) | |||||||
\(444\) | 815.575 | − | 1785.86i | 0.0871745 | − | 0.190885i | ||||
\(445\) | −11347.2 | + | 10428.4i | −1.20879 | + | 1.11090i | ||||
\(446\) | 69.6355 | − | 484.326i | 0.00739314 | − | 0.0514204i | ||||
\(447\) | 5373.40 | − | 2453.95i | 0.568575 | − | 0.259659i | ||||
\(448\) | −237.958 | + | 810.411i | −0.0250948 | + | 0.0854650i | ||||
\(449\) | 4466.12 | + | 1311.37i | 0.469419 | + | 0.137834i | 0.507883 | − | 0.861426i | \(-0.330428\pi\) |
−0.0384637 | + | 0.999260i | \(0.512246\pi\) | |||||||
\(450\) | −3913.25 | + | 798.370i | −0.409938 | + | 0.0836345i | ||||
\(451\) | 1774.84 | − | 12344.3i | 0.185309 | − | 1.28885i | ||||
\(452\) | −2375.73 | − | 2058.58i | −0.247223 | − | 0.214220i | ||||
\(453\) | −10744.6 | − | 4906.90i | −1.11441 | − | 0.508932i | ||||
\(454\) | −3492.33 | − | 2244.39i | −0.361020 | − | 0.232014i | ||||
\(455\) | 34.2841 | + | 1172.66i | 0.00353245 | + | 0.120825i | ||||
\(456\) | −447.411 | + | 287.533i | −0.0459472 | + | 0.0295285i | ||||
\(457\) | −5776.73 | + | 5005.56i | −0.591299 | + | 0.512364i | −0.898322 | − | 0.439339i | \(-0.855213\pi\) |
0.307022 | + | 0.951702i | \(0.400667\pi\) | |||||||
\(458\) | 2370.75 | + | 8074.02i | 0.241873 | + | 0.823743i | ||||
\(459\) | −11690.2 | −1.18878 | ||||||||
\(460\) | 4346.87 | + | 2332.10i | 0.440595 | + | 0.236380i | ||||
\(461\) | −8174.26 | −0.825842 | −0.412921 | − | 0.910767i | \(-0.635492\pi\) | ||||
−0.412921 | + | 0.910767i | \(0.635492\pi\) | |||||||
\(462\) | −1295.31 | − | 4411.41i | −0.130440 | − | 0.444236i | ||||
\(463\) | 10979.1 | − | 9513.41i | 1.10203 | − | 0.954915i | 0.102823 | − | 0.994700i | \(-0.467213\pi\) |
0.999208 | + | 0.0397842i | \(0.0126671\pi\) | |||||||
\(464\) | −2447.05 | + | 1572.63i | −0.244831 | + | 0.157343i | ||||
\(465\) | 8697.68 | − | 254.287i | 0.867409 | − | 0.0253597i | ||||
\(466\) | 3028.99 | + | 1946.62i | 0.301106 | + | 0.193509i | ||||
\(467\) | −1809.76 | − | 826.488i | −0.179327 | − | 0.0818957i | 0.323729 | − | 0.946150i | \(-0.395064\pi\) |
−0.503055 | + | 0.864254i | \(0.667791\pi\) | |||||||
\(468\) | −383.981 | − | 332.722i | −0.0379264 | − | 0.0328634i | ||||
\(469\) | −821.182 | + | 5711.44i | −0.0808500 | + | 0.562324i | ||||
\(470\) | −3041.92 | − | 9340.84i | −0.298539 | − | 0.916725i | ||||
\(471\) | −5673.51 | − | 1665.89i | −0.555035 | − | 0.162973i | ||||
\(472\) | 198.178 | − | 674.933i | 0.0193260 | − | 0.0658184i | ||||
\(473\) | 13036.6 | − | 5953.60i | 1.26728 | − | 0.578746i | ||||
\(474\) | 368.586 | − | 2563.57i | 0.0357167 | − | 0.248415i | ||||
\(475\) | −2022.80 | + | 1473.79i | −0.195395 | + | 0.142362i | ||||
\(476\) | −1796.58 | + | 3933.95i | −0.172996 | + | 0.378808i | ||||
\(477\) | 1612.39 | − | 2508.92i | 0.154772 | − | 0.240829i | ||||
\(478\) | −10734.0 | + | 1543.32i | −1.02712 | + | 0.147677i | ||||
\(479\) | 764.401 | − | 491.251i | 0.0729152 | − | 0.0468598i | −0.503675 | − | 0.863893i | \(-0.668019\pi\) |
0.576590 | + | 0.817033i | \(0.304383\pi\) | |||||||
\(480\) | 671.166 | + | 980.144i | 0.0638217 | + | 0.0932026i | ||||
\(481\) | 1127.72 | − | 331.129i | 0.106902 | − | 0.0313892i | ||||
\(482\) | − | 270.826i | − | 0.0255929i | ||||||
\(483\) | 3491.61 | − | 3342.27i | 0.328931 | − | 0.314862i | ||||
\(484\) | −5684.84 | −0.533888 | ||||||||
\(485\) | 241.718 | + | 1391.22i | 0.0226306 | + | 0.130252i | ||||
\(486\) | −4861.36 | − | 5610.31i | −0.453736 | − | 0.523639i | ||||
\(487\) | 3549.41 | + | 5522.98i | 0.330265 | + | 0.513902i | 0.966184 | − | 0.257854i | \(-0.0830152\pi\) |
−0.635919 | + | 0.771756i | \(0.719379\pi\) | |||||||
\(488\) | 265.605 | − | 38.1882i | 0.0246380 | − | 0.00354241i | ||||
\(489\) | −9113.91 | − | 5857.15i | −0.842833 | − | 0.541656i | ||||
\(490\) | −3234.20 | − | 1947.35i | −0.298176 | − | 0.179535i | ||||
\(491\) | 610.856 | − | 704.965i | 0.0561457 | − | 0.0647956i | −0.726982 | − | 0.686657i | \(-0.759078\pi\) |
0.783128 | + | 0.621861i | \(0.213623\pi\) | |||||||
\(492\) | 3125.12 | + | 449.325i | 0.286365 | + | 0.0411730i | ||||
\(493\) | −13548.2 | + | 6187.27i | −1.23769 | + | 0.565234i | ||||
\(494\) | −305.492 | − | 89.7006i | −0.0278234 | − | 0.00816967i | ||||
\(495\) | 8633.54 | + | 3641.77i | 0.783936 | + | 0.330677i | ||||
\(496\) | 1557.96 | + | 3411.45i | 0.141037 | + | 0.308828i | ||||
\(497\) | 2334.89 | + | 335.706i | 0.210732 | + | 0.0302987i | ||||
\(498\) | −4861.71 | − | 4212.70i | −0.437467 | − | 0.379067i | ||||
\(499\) | 764.425 | − | 1673.86i | 0.0685779 | − | 0.150165i | −0.872239 | − | 0.489080i | \(-0.837333\pi\) |
0.940817 | + | 0.338915i | \(0.110060\pi\) | |||||||
\(500\) | 3422.49 | + | 4420.02i | 0.306117 | + | 0.395339i | ||||
\(501\) | 76.4249 | + | 531.547i | 0.00681519 | + | 0.0474007i | ||||
\(502\) | 6823.80 | + | 10618.0i | 0.606695 | + | 0.944036i | ||||
\(503\) | −7852.61 | + | 6804.33i | −0.696085 | + | 0.603161i | −0.929327 | − | 0.369258i | \(-0.879612\pi\) |
0.233242 | + | 0.972419i | \(0.425067\pi\) | |||||||
\(504\) | −1618.33 | + | 475.185i | −0.143028 | + | 0.0419969i | ||||
\(505\) | −3482.31 | − | 397.202i | −0.306853 | − | 0.0350005i | ||||
\(506\) | −5323.31 | − | 10276.5i | −0.467688 | − | 0.902860i | ||||
\(507\) | − | 7084.86i | − | 0.620610i | ||||||
\(508\) | −985.043 | − | 3354.75i | −0.0860319 | − | 0.292998i | ||||
\(509\) | 11518.3 | + | 13292.8i | 1.00302 | + | 1.15755i | 0.987492 | + | 0.157672i | \(0.0503989\pi\) |
0.0155326 | + | 0.999879i | \(0.495056\pi\) | |||||||
\(510\) | 2687.40 | + | 5456.68i | 0.233333 | + | 0.473776i | ||||
\(511\) | −1308.68 | − | 9102.09i | −0.113293 | − | 0.787971i | ||||
\(512\) | −276.808 | + | 430.722i | −0.0238932 | + | 0.0371785i | ||||
\(513\) | −2598.81 | − | 1186.84i | −0.223666 | − | 0.102145i | ||||
\(514\) | 6336.25 | − | 7312.43i | 0.543736 | − | 0.627504i | ||||
\(515\) | 9474.68 | + | 2483.69i | 0.810688 | + | 0.212514i | ||||
\(516\) | 1507.23 | + | 3300.38i | 0.128589 | + | 0.281572i | ||||
\(517\) | −6493.32 | + | 22114.2i | −0.552371 | + | 1.88120i | ||||
\(518\) | 1099.24 | − | 3743.65i | 0.0932387 | − | 0.317542i | ||||
\(519\) | 1144.57 | + | 2506.25i | 0.0968033 | + | 0.211970i | ||||
\(520\) | −180.329 | + | 687.913i | −0.0152076 | + | 0.0580134i | ||||
\(521\) | −6154.61 | + | 7102.80i | −0.517540 | + | 0.597273i | −0.953013 | − | 0.302928i | \(-0.902036\pi\) |
0.435473 | + | 0.900202i | \(0.356581\pi\) | |||||||
\(522\) | −5283.78 | − | 2413.02i | −0.443036 | − | 0.202328i | ||||
\(523\) | 1579.15 | − | 2457.21i | 0.132030 | − | 0.205442i | −0.768944 | − | 0.639316i | \(-0.779217\pi\) |
0.900973 | + | 0.433874i | \(0.142854\pi\) | |||||||
\(524\) | 125.368 | + | 871.955i | 0.0104518 | + | 0.0726937i | ||||
\(525\) | 5156.39 | − | 1847.57i | 0.428654 | − | 0.153589i | ||||
\(526\) | 5051.08 | + | 5829.26i | 0.418703 | + | 0.483209i | ||||
\(527\) | 5410.16 | + | 18425.3i | 0.447192 | + | 1.52300i | ||||
\(528\) | − | 2787.03i | − | 0.229716i | ||||||
\(529\) | 7018.85 | − | 9938.39i | 0.576876 | − | 0.816832i | ||||
\(530\) | −4147.50 | − | 473.075i | −0.339916 | − | 0.0387718i | ||||
\(531\) | 1347.79 | − | 395.747i | 0.110149 | − | 0.0323427i | ||||
\(532\) | −798.785 | + | 692.151i | −0.0650972 | + | 0.0564070i | ||||
\(533\) | 1021.87 | + | 1590.07i | 0.0830437 | + | 0.129219i | ||||
\(534\) | 1302.71 | + | 9060.53i | 0.105569 | + | 0.734246i | ||||
\(535\) | 11976.8 | − | 14667.0i | 0.967854 | − | 1.18525i | ||||
\(536\) | −1453.04 | + | 3181.72i | −0.117093 | + | 0.256398i | ||||
\(537\) | 372.990 | + | 323.198i | 0.0299734 | + | 0.0259721i | ||||
\(538\) | −704.657 | − | 101.314i | −0.0564682 | − | 0.00811891i | ||||
\(539\) | 3679.42 | + | 8056.81i | 0.294033 | + | 0.643843i | ||||
\(540\) | −2480.16 | + | 5879.72i | −0.197647 | + | 0.468561i | ||||
\(541\) | −6731.34 | − | 1976.50i | −0.534940 | − | 0.157073i | 0.00309458 | − | 0.999995i | \(-0.499015\pi\) |
−0.538035 | + | 0.842923i | \(0.680833\pi\) | |||||||
\(542\) | 13111.9 | − | 5988.00i | 1.03912 | − | 0.474551i | ||||
\(543\) | −8982.37 | − | 1291.47i | −0.709890 | − | 0.102067i | ||||
\(544\) | −1716.80 | + | 1981.29i | −0.135307 | + | 0.156153i | ||||
\(545\) | −12703.8 | + | 21098.8i | −0.998481 | + | 1.65830i | ||||
\(546\) | 586.193 | + | 376.724i | 0.0459464 | + | 0.0295280i | ||||
\(547\) | −12356.5 | + | 1776.60i | −0.965860 | + | 0.138870i | −0.607157 | − | 0.794582i | \(-0.707690\pi\) |
−0.358703 | + | 0.933452i | \(0.616781\pi\) | |||||||
\(548\) | −3959.89 | − | 6161.71i | −0.308683 | − | 0.480320i | ||||
\(549\) | 350.905 | + | 404.966i | 0.0272792 | + | 0.0314819i | ||||
\(550\) | −766.232 | − | 13093.0i | −0.0594040 | − | 1.01507i | ||||
\(551\) | −3640.03 | −0.281435 | ||||||||
\(552\) | 2601.64 | − | 1347.66i | 0.200603 | − | 0.103914i | ||||
\(553\) | − | 5147.08i | − | 0.395797i | ||||||
\(554\) | −9229.15 | + | 2709.92i | −0.707778 | + | 0.207822i | ||||
\(555\) | −3100.42 | − | 4527.73i | −0.237127 | − | 0.346291i | ||||
\(556\) | 9524.33 | − | 6120.92i | 0.726478 | − | 0.466879i | ||||
\(557\) | −19333.1 | + | 2779.69i | −1.47068 | + | 0.211452i | −0.830607 | − | 0.556858i | \(-0.812007\pi\) |
−0.640077 | + | 0.768311i | \(0.721098\pi\) | |||||||
\(558\) | −4048.97 | + | 6300.32i | −0.307180 | + | 0.477981i | ||||
\(559\) | −902.316 | + | 1975.80i | −0.0682717 | + | 0.149494i | ||||
\(560\) | 1597.47 | + | 1738.23i | 0.120546 | + | 0.131167i | ||||
\(561\) | 2030.92 | − | 14125.3i | 0.152844 | − | 1.06305i | ||||
\(562\) | 2693.68 | − | 1230.16i | 0.202182 | − | 0.0923333i | ||||
\(563\) | −3436.43 | + | 11703.4i | −0.257244 | + | 0.876092i | 0.725042 | + | 0.688704i | \(0.241820\pi\) |
−0.982286 | + | 0.187388i | \(0.939998\pi\) | |||||||
\(564\) | −5598.50 | − | 1643.87i | −0.417978 | − | 0.122729i | ||||
\(565\) | −8354.59 | + | 2720.74i | −0.622089 | + | 0.202588i | ||||
\(566\) | 527.195 | − | 3666.72i | 0.0391513 | − | 0.272303i | ||||
\(567\) | 423.382 | + | 366.863i | 0.0313587 | + | 0.0271725i | ||||
\(568\) | 1300.71 | + | 594.015i | 0.0960857 | + | 0.0438809i | ||||
\(569\) | −3903.20 | − | 2508.43i | −0.287576 | − | 0.184814i | 0.388897 | − | 0.921281i | \(-0.372856\pi\) |
−0.676473 | + | 0.736467i | \(0.736492\pi\) | |||||||
\(570\) | 43.4419 | + | 1485.90i | 0.00319225 | + | 0.109188i | ||||
\(571\) | −5839.54 | + | 3752.85i | −0.427981 | + | 0.275047i | −0.736848 | − | 0.676059i | \(-0.763687\pi\) |
0.308867 | + | 0.951105i | \(0.400050\pi\) | |||||||
\(572\) | 1260.95 | − | 1092.62i | 0.0921731 | − | 0.0798685i | ||||
\(573\) | 553.486 | + | 1885.00i | 0.0403529 | + | 0.137429i | ||||
\(574\) | 6274.55 | 0.456262 | ||||||||
\(575\) | 11851.5 | − | 7046.35i | 0.859552 | − | 0.511049i | ||||
\(576\) | −1022.43 | −0.0739603 | ||||||||
\(577\) | 3237.96 | + | 11027.5i | 0.233619 | + | 0.795632i | 0.989947 | + | 0.141439i | \(0.0451731\pi\) |
−0.756328 | + | 0.654192i | \(0.773009\pi\) | |||||||
\(578\) | −2718.91 | + | 2355.95i | −0.195661 | + | 0.169541i | ||||
\(579\) | −11763.2 | + | 7559.73i | −0.844319 | + | 0.542611i | ||||
\(580\) | 237.600 | + | 8126.92i | 0.0170100 | + | 0.581814i | ||||
\(581\) | −10755.0 | − | 6911.82i | −0.767974 | − | 0.493547i | ||||
\(582\) | 762.917 | + | 348.412i | 0.0543366 | + | 0.0248147i | ||||
\(583\) | 7401.62 | + | 6413.54i | 0.525804 | + | 0.455612i | ||||
\(584\) | 793.307 | − | 5517.57i | 0.0562111 | − | 0.390957i | ||||
\(585\) | −1350.33 | + | 439.745i | −0.0954345 | + | 0.0310790i | ||||
\(586\) | −6444.25 | − | 1892.20i | −0.454283 | − | 0.133389i | ||||
\(587\) | 2847.71 | − | 9698.42i | 0.200235 | − | 0.681936i | −0.796748 | − | 0.604312i | \(-0.793448\pi\) |
0.996983 | − | 0.0776247i | \(-0.0247336\pi\) | |||||||
\(588\) | −2039.69 | + | 931.493i | −0.143053 | + | 0.0653301i | ||||
\(589\) | −667.900 | + | 4645.35i | −0.0467239 | + | 0.324972i | ||||
\(590\) | −1330.42 | − | 1447.65i | −0.0928347 | − | 0.101015i | ||||
\(591\) | 4102.97 | − | 8984.26i | 0.285573 | − | 0.625318i | ||||
\(592\) | 1278.70 | − | 1989.70i | 0.0887742 | − | 0.138135i | ||||
\(593\) | −8882.49 | + | 1277.11i | −0.615110 | + | 0.0884395i | −0.442826 | − | 0.896608i | \(-0.646024\pi\) |
−0.172285 | + | 0.985047i | \(0.555115\pi\) | |||||||
\(594\) | 12595.0 | − | 8094.33i | 0.870000 | − | 0.559115i | ||||
\(595\) | 6829.72 | + | 9973.84i | 0.470573 | + | 0.687206i | ||||
\(596\) | 6828.16 | − | 2004.93i | 0.469283 | − | 0.137794i | ||||
\(597\) | 979.703i | 0.0671635i | ||||||||
\(598\) | 1629.67 | + | 648.737i | 0.111442 | + | 0.0443626i | ||||
\(599\) | 8009.80 | 0.546363 | 0.273181 | − | 0.961963i | \(-0.411924\pi\) | ||||
0.273181 | + | 0.961963i | \(0.411924\pi\) | |||||||
\(600\) | 3314.66 | − | 193.981i | 0.225534 | − | 0.0131988i | ||||
\(601\) | −221.610 | − | 255.752i | −0.0150411 | − | 0.0173583i | 0.748179 | − | 0.663497i | \(-0.230928\pi\) |
−0.763220 | + | 0.646138i | \(0.776383\pi\) | |||||||
\(602\) | 3898.33 | + | 6065.93i | 0.263927 | + | 0.410679i | ||||
\(603\) | −6913.77 | + | 994.050i | −0.466916 | + | 0.0671324i | ||||
\(604\) | −11971.0 | − | 7693.30i | −0.806446 | − | 0.518271i | ||||
\(605\) | −8196.27 | + | 13612.5i | −0.550786 | + | 0.914758i | ||||
\(606\) | −1363.26 | + | 1573.29i | −0.0913841 | + | 0.105463i | ||||
\(607\) | 3064.00 | + | 440.536i | 0.204883 | + | 0.0294577i | 0.243992 | − | 0.969777i | \(-0.421543\pi\) |
−0.0391093 | + | 0.999235i | \(0.512452\pi\) | |||||||
\(608\) | −582.806 | + | 266.159i | −0.0388749 | + | 0.0177536i | ||||
\(609\) | 7643.68 | + | 2244.39i | 0.508600 | + | 0.149339i | ||||
\(610\) | 291.499 | − | 691.057i | 0.0193483 | − | 0.0458690i | ||||
\(611\) | −1451.08 | − | 3177.42i | −0.0960791 | − | 0.210384i | ||||
\(612\) | −5181.90 | − | 745.045i | −0.342265 | − | 0.0492102i | ||||
\(613\) | 5321.51 | + | 4611.12i | 0.350626 | + | 0.303819i | 0.812311 | − | 0.583225i | \(-0.198209\pi\) |
−0.461685 | + | 0.887044i | \(0.652755\pi\) | |||||||
\(614\) | −2900.05 | + | 6350.21i | −0.190613 | + | 0.417384i | ||||
\(615\) | 5581.65 | − | 6835.38i | 0.365974 | − | 0.448177i | ||||
\(616\) | −788.251 | − | 5482.40i | −0.0515577 | − | 0.358592i | ||||
\(617\) | 365.090 | + | 568.091i | 0.0238217 | + | 0.0370672i | 0.852960 | − | 0.521976i | \(-0.174805\pi\) |
−0.829139 | + | 0.559043i | \(0.811169\pi\) | |||||||
\(618\) | 4396.73 | − | 3809.79i | 0.286185 | − | 0.247981i | ||||
\(619\) | 19185.5 | − | 5633.39i | 1.24577 | − | 0.365791i | 0.408590 | − | 0.912718i | \(-0.366020\pi\) |
0.837181 | + | 0.546926i | \(0.184202\pi\) | |||||||
\(620\) | 10415.0 | + | 1187.97i | 0.674642 | + | 0.0769515i | ||||
\(621\) | 13646.2 | + | 7843.19i | 0.881808 | + | 0.506822i | ||||
\(622\) | − | 11151.3i | − | 0.718855i | ||||||
\(623\) | 5125.15 | + | 17454.6i | 0.329590 | + | 1.12248i | ||||
\(624\) | 276.611 | + | 319.226i | 0.0177457 | + | 0.0204796i | ||||
\(625\) | 15518.3 | − | 1822.58i | 0.993174 | − | 0.116645i | ||||
\(626\) | −2904.07 | − | 20198.3i | −0.185415 | − | 1.28959i | ||||
\(627\) | 1885.55 | − | 2933.98i | 0.120099 | − | 0.186877i | ||||
\(628\) | −6479.70 | − | 2959.18i | −0.411733 | − | 0.188032i | ||||
\(629\) | 7930.67 | − | 9152.48i | 0.502729 | − | 0.580180i | ||||
\(630\) | −1195.43 | + | 4560.26i | −0.0755983 | + | 0.288389i | ||||
\(631\) | −3316.81 | − | 7262.80i | −0.209255 | − | 0.458205i | 0.775681 | − | 0.631126i | \(-0.217407\pi\) |
−0.984936 | + | 0.172921i | \(0.944680\pi\) | |||||||
\(632\) | 879.031 | − | 2993.71i | 0.0553259 | − | 0.188423i | ||||
\(633\) | 4029.86 | − | 13724.5i | 0.253037 | − | 0.861766i | ||||
\(634\) | 868.886 | + | 1902.60i | 0.0544288 | + | 0.119183i | ||||
\(635\) | −9453.26 | − | 2478.08i | −0.590774 | − | 0.154865i | ||||
\(636\) | −1623.67 | + | 1873.82i | −0.101231 | + | 0.116826i | ||||
\(637\) | −1221.07 | − | 557.646i | −0.0759509 | − | 0.0346856i | ||||
\(638\) | 10312.8 | − | 16047.0i | 0.639949 | − | 0.995780i | ||||
\(639\) | 406.376 | + | 2826.41i | 0.0251580 | + | 0.174978i | ||||
\(640\) | 632.282 | + | 1283.83i | 0.0390518 | + | 0.0792935i | ||||
\(641\) | −11938.8 | − | 13778.1i | −0.735655 | − | 0.848991i | 0.257441 | − | 0.966294i | \(-0.417121\pi\) |
−0.993096 | + | 0.117303i | \(0.962575\pi\) | |||||||
\(642\) | −3168.67 | − | 10791.5i | −0.194793 | − | 0.663405i | ||||
\(643\) | 30210.8i | 1.85287i | 0.376454 | + | 0.926435i | \(0.377143\pi\) | ||||
−0.376454 | + | 0.926435i | \(0.622857\pi\) | |||||||
\(644\) | 4736.55 | − | 3386.82i | 0.289823 | − | 0.207235i | ||||
\(645\) | 10075.9 | + | 1149.29i | 0.615101 | + | 0.0701600i | ||||
\(646\) | −3147.75 | + | 924.263i | −0.191713 | + | 0.0562920i | ||||
\(647\) | −3321.42 | + | 2878.02i | −0.201821 | + | 0.174879i | −0.749907 | − | 0.661543i | \(-0.769902\pi\) |
0.548086 | + | 0.836422i | \(0.315357\pi\) | |||||||
\(648\) | 183.599 | + | 285.686i | 0.0111303 | + | 0.0173191i | ||||
\(649\) | 656.477 | + | 4565.90i | 0.0397057 | + | 0.276159i | ||||
\(650\) | 1387.23 | + | 1423.62i | 0.0837104 | + | 0.0859061i | ||||
\(651\) | 4266.77 | − | 9342.93i | 0.256879 | − | 0.562486i | ||||
\(652\) | −9863.58 | − | 8546.84i | −0.592466 | − | 0.513375i | ||||
\(653\) | 29923.6 | + | 4302.37i | 1.79326 | + | 0.257832i | 0.956916 | − | 0.290366i | \(-0.0937771\pi\) |
0.836348 | + | 0.548198i | \(0.184686\pi\) | |||||||
\(654\) | 6076.73 | + | 13306.2i | 0.363332 | + | 0.795585i | ||||
\(655\) | 2268.68 | + | 956.965i | 0.135335 | + | 0.0570866i | ||||
\(656\) | 3649.48 | + | 1071.58i | 0.217208 | + | 0.0637779i | ||||
\(657\) | 10125.6 | − | 4624.19i | 0.601272 | − | 0.274592i | ||||
\(658\) | −11477.8 | − | 1650.26i | −0.680018 | − | 0.0977718i | ||||
\(659\) | 16083.2 | − | 18561.0i | 0.950704 | − | 1.09717i | −0.0444670 | − | 0.999011i | \(-0.514159\pi\) |
0.995171 | − | 0.0981597i | \(-0.0312956\pi\) | |||||||
\(660\) | −6673.63 | − | 4018.27i | −0.393592 | − | 0.236987i | ||||
\(661\) | 24809.6 | + | 15944.1i | 1.45988 | + | 0.938208i | 0.998704 | + | 0.0508990i | \(0.0162086\pi\) |
0.461176 | + | 0.887309i | \(0.347428\pi\) | |||||||
\(662\) | −12839.4 | + | 1846.03i | −0.753806 | + | 0.108381i | ||||
\(663\) | 1169.31 | + | 1819.48i | 0.0684951 | + | 0.106580i | ||||
\(664\) | −5075.04 | − | 5856.91i | −0.296611 | − | 0.342307i | ||||
\(665\) | 505.709 | + | 2910.64i | 0.0294895 | + | 0.169729i | ||||
\(666\) | 4723.05 | 0.274797 | ||||||||
\(667\) | 19966.3 | + | 1867.27i | 1.15907 | + | 0.108397i | ||||
\(668\) | 646.939i | 0.0374713i | ||||||||
\(669\) | −779.424 | + | 228.859i | −0.0450437 | + | 0.0132260i | ||||
\(670\) | 5523.76 | + | 8066.67i | 0.318510 | + | 0.465139i | ||||
\(671\) | −1480.32 | + | 951.346i | −0.0851672 | + | 0.0547337i | ||||
\(672\) | 1387.94 | − | 199.556i | 0.0796741 | − | 0.0114554i | ||||
\(673\) | 18301.2 | − | 28477.3i | 1.04823 | − | 1.63108i | 0.317717 | − | 0.948186i | \(-0.397084\pi\) |
0.730516 | − | 0.682896i | \(-0.239280\pi\) | |||||||
\(674\) | −3538.19 | + | 7747.56i | −0.202205 | + | 0.442767i | ||||
\(675\) | 10503.3 | + | 14416.1i | 0.598924 | + | 0.822036i | ||||
\(676\) | 1214.68 | − | 8448.25i | 0.0691099 | − | 0.480670i | ||||
\(677\) | −27337.2 | + | 12484.5i | −1.55193 | + | 0.708741i | −0.992738 | − | 0.120300i | \(-0.961615\pi\) |
−0.559189 | + | 0.829040i | \(0.688887\pi\) | |||||||
\(678\) | −1470.30 | + | 5007.39i | −0.0832840 | + | 0.283639i | ||||
\(679\) | 1599.28 | + | 469.592i | 0.0903901 | + | 0.0265409i | ||||
\(680\) | 2269.02 | + | 6967.50i | 0.127960 | + | 0.392929i | ||||
\(681\) | −980.821 | + | 6821.76i | −0.0551911 | + | 0.383863i | ||||
\(682\) | −18586.7 | − | 16105.5i | −1.04358 | − | 0.904266i | ||||
\(683\) | −25314.9 | − | 11560.9i | −1.41822 | − | 0.647681i | −0.448926 | − | 0.893569i | \(-0.648193\pi\) |
−0.969298 | + | 0.245888i | \(0.920921\pi\) | |||||||
\(684\) | −1076.34 | − | 691.719i | −0.0601677 | − | 0.0386674i | ||||
\(685\) | −20463.7 | + | 598.280i | −1.14143 | + | 0.0333709i | ||||
\(686\) | −11365.0 | + | 7303.82i | −0.632531 | + | 0.406503i | ||||
\(687\) | 10557.9 | − | 9148.46i | 0.586330 | − | 0.508058i | ||||
\(688\) | 1231.44 | + | 4193.91i | 0.0682388 | + | 0.232400i | ||||
\(689\) | −1484.32 | −0.0820727 | ||||||||
\(690\) | 523.950 | − | 8172.73i | 0.0289079 | − | 0.450914i | ||||
\(691\) | 8229.13 | 0.453040 | 0.226520 | − | 0.974006i | \(-0.427265\pi\) | ||||
0.226520 | + | 0.974006i | \(0.427265\pi\) | |||||||
\(692\) | 935.137 | + | 3184.78i | 0.0513708 | + | 0.174953i | ||||
\(693\) | 8359.00 | − | 7243.12i | 0.458200 | − | 0.397032i | ||||
\(694\) | −13162.1 | + | 8458.79i | −0.719925 | + | 0.462668i | ||||
\(695\) | −924.778 | − | 31631.3i | −0.0504731 | − | 1.72639i | ||||
\(696\) | 4062.51 | + | 2610.82i | 0.221249 | + | 0.142188i | ||||
\(697\) | 17715.6 | + | 8090.43i | 0.962733 | + | 0.439665i | ||||
\(698\) | 2610.60 | + | 2262.10i | 0.141565 | + | 0.122667i | ||||
\(699\) | 850.693 | − | 5916.70i | 0.0460317 | − | 0.320157i | ||||
\(700\) | 6465.44 | − | 1319.06i | 0.349101 | − | 0.0712226i | ||||
\(701\) | 6818.52 | + | 2002.10i | 0.367378 | + | 0.107872i | 0.460211 | − | 0.887810i | \(-0.347774\pi\) |
−0.0928325 | + | 0.995682i | \(0.529592\pi\) | |||||||
\(702\) | −639.275 | + | 2177.17i | −0.0343702 | + | 0.117054i | ||||
\(703\) | 2692.25 | − | 1229.51i | 0.144438 | − | 0.0659627i | ||||
\(704\) | 477.827 | − | 3323.36i | 0.0255807 | − | 0.177918i | ||||
\(705\) | −12008.1 | + | 11035.7i | −0.641490 | + | 0.589544i | ||||
\(706\) | 7801.61 | − | 17083.2i | 0.415889 | − | 0.910670i | ||||
\(707\) | −2236.72 | + | 3480.41i | −0.118982 | + | 0.185140i | ||||
\(708\) | −1155.92 | + | 166.196i | −0.0613587 | + | 0.00882206i | ||||
\(709\) | −1995.42 | + | 1282.38i | −0.105698 | + | 0.0679278i | −0.592422 | − | 0.805628i | \(-0.701828\pi\) |
0.486724 | + | 0.873556i | \(0.338192\pi\) | |||||||
\(710\) | 3297.72 | − | 2258.16i | 0.174312 | − | 0.119362i | ||||
\(711\) | 5978.22 | − | 1755.36i | 0.315331 | − | 0.0925896i | ||||
\(712\) | 11027.5i | 0.580438i | ||||||||
\(713\) | 6046.54 | − | 25138.0i | 0.317594 | − | 1.32037i | ||||
\(714\) | 7179.83 | 0.376328 | ||||||||
\(715\) | −798.306 | − | 4594.70i | −0.0417552 | − | 0.240325i | ||||
\(716\) | 389.357 | + | 449.342i | 0.0203226 | + | 0.0234535i | ||||
\(717\) | 9733.41 | + | 15145.5i | 0.506975 | + | 0.788868i | ||||
\(718\) | 7428.81 | − | 1068.10i | 0.386129 | − | 0.0555170i | ||||
\(719\) | 21967.4 | + | 14117.6i | 1.13943 | + | 0.732265i | 0.967506 | − | 0.252846i | \(-0.0813667\pi\) |
0.171920 | + | 0.985111i | \(0.445003\pi\) | |||||||
\(720\) | −1474.11 | + | 2448.23i | −0.0763012 | + | 0.126723i | ||||
\(721\) | 7571.35 | − | 8737.81i | 0.391084 | − | 0.451336i | ||||
\(722\) | 12784.8 | + | 1838.17i | 0.659002 | + | 0.0947502i | ||||
\(723\) | −408.984 | + | 186.777i | −0.0210377 | + | 0.00960761i | ||||
\(724\) | −10489.5 | − | 3080.00i | −0.538452 | − | 0.158104i | ||||
\(725\) | 19802.7 | + | 11148.3i | 1.01442 | + | 0.571084i | ||||
\(726\) | 3920.59 | + | 8584.90i | 0.200423 | + | 0.438864i | ||||
\(727\) | 2610.42 | + | 375.321i | 0.133171 | + | 0.0191470i | 0.208578 | − | 0.978006i | \(-0.433117\pi\) |
−0.0754072 | + | 0.997153i | \(0.524026\pi\) | |||||||
\(728\) | 634.411 | + | 549.721i | 0.0322979 | + | 0.0279863i | ||||
\(729\) | −5595.79 | + | 12253.1i | −0.284296 | + | 0.622521i | ||||
\(730\) | −12068.2 | − | 9854.70i | −0.611870 | − | 0.499642i | ||||
\(731\) | 3185.13 | + | 22153.1i | 0.161158 | + | 1.12088i | ||||
\(732\) | −240.845 | − | 374.763i | −0.0121611 | − | 0.0189230i | ||||
\(733\) | −16074.6 | + | 13928.8i | −0.810001 | + | 0.701870i | −0.957890 | − | 0.287134i | \(-0.907297\pi\) |
0.147890 | + | 0.989004i | \(0.452752\pi\) | |||||||
\(734\) | 17182.3 | − | 5045.16i | 0.864044 | − | 0.253706i | ||||
\(735\) | −710.279 | + | 6227.10i | −0.0356450 | + | 0.312503i | ||||
\(736\) | 3333.34 | − | 1160.96i | 0.166941 | − | 0.0581436i | ||||
\(737\) | − | 22937.5i | − | 1.14642i | ||||||
\(738\) | 2139.88 | + | 7287.75i | 0.106734 | + | 0.363504i | ||||
\(739\) | 9741.02 | + | 11241.7i | 0.484884 | + | 0.559586i | 0.944491 | − | 0.328536i | \(-0.106555\pi\) |
−0.459607 | + | 0.888122i | \(0.652010\pi\) | |||||||
\(740\) | −2920.80 | − | 5930.59i | −0.145095 | − | 0.294612i | ||||
\(741\) | 75.2245 | + | 523.198i | 0.00372934 | + | 0.0259381i | ||||
\(742\) | −2663.97 | + | 4145.23i | −0.131803 | + | 0.205089i | ||||
\(743\) | 13032.8 | + | 5951.90i | 0.643511 | + | 0.293881i | 0.710314 | − | 0.703885i | \(-0.248553\pi\) |
−0.0668036 | + | 0.997766i | \(0.521280\pi\) | |||||||
\(744\) | 4077.30 | − | 4705.46i | 0.200916 | − | 0.231869i | ||||
\(745\) | 5043.81 | − | 19240.9i | 0.248042 | − | 0.946218i | ||||
\(746\) | 8813.35 | + | 19298.6i | 0.432547 | + | 0.947145i | ||||
\(747\) | 4360.03 | − | 14848.9i | 0.213555 | − | 0.727300i | ||||
\(748\) | 4843.49 | − | 16495.4i | 0.236758 | − | 0.806325i | ||||
\(749\) | −9285.26 | − | 20331.9i | −0.452972 | − | 0.991870i | ||||
\(750\) | 4314.50 | − | 8216.73i | 0.210058 | − | 0.400043i | ||||
\(751\) | −7707.67 | + | 8895.13i | −0.374510 | + | 0.432208i | −0.911449 | − | 0.411414i | \(-0.865035\pi\) |
0.536939 | + | 0.843621i | \(0.319581\pi\) | |||||||
\(752\) | −6394.03 | − | 2920.06i | −0.310062 | − | 0.141600i | ||||
\(753\) | 11328.6 | − | 17627.7i | 0.548258 | − | 0.853106i | ||||
\(754\) | 411.430 | + | 2861.56i | 0.0198719 | + | 0.138212i | ||||
\(755\) | −35681.4 | + | 17572.9i | −1.71997 | + | 0.847079i | ||||
\(756\) | 4932.80 | + | 5692.75i | 0.237307 | + | 0.273867i | ||||
\(757\) | −9677.51 | − | 32958.6i | −0.464644 | − | 1.58243i | −0.775097 | − | 0.631842i | \(-0.782299\pi\) |
0.310454 | − | 0.950589i | \(-0.399519\pi\) | |||||||
\(758\) | − | 9091.68i | − | 0.435653i | ||||||
\(759\) | −11847.7 | + | 15126.2i | −0.566594 | + | 0.723382i | ||||
\(760\) | −202.950 | + | 1779.29i | −0.00968656 | + | 0.0849231i | ||||
\(761\) | 24736.2 | − | 7263.19i | 1.17830 | − | 0.345980i | 0.366781 | − | 0.930307i | \(-0.380460\pi\) |
0.811518 | + | 0.584328i | \(0.198642\pi\) | |||||||
\(762\) | −4386.79 | + | 3801.18i | −0.208552 | + | 0.180711i | ||||
\(763\) | 15717.0 | + | 24456.1i | 0.745731 | + | 1.16038i | ||||
\(764\) | 336.821 | + | 2342.64i | 0.0159499 | + | 0.110934i | ||||
\(765\) | −9255.18 | + | 11334.0i | −0.437414 | + | 0.535664i | ||||
\(766\) | −9058.87 | + | 19836.1i | −0.427298 | + | 0.935652i | ||||
\(767\) | −528.355 | − | 457.823i | −0.0248733 | − | 0.0215528i | ||||
\(768\) | 841.352 | + | 120.968i | 0.0395308 | + | 0.00568368i | ||||
\(769\) | −7522.17 | − | 16471.3i | −0.352739 | − | 0.772391i | −0.999949 | − | 0.0100794i | \(-0.996792\pi\) |
0.647210 | − | 0.762312i | \(-0.275936\pi\) | |||||||
\(770\) | −14264.3 | − | 6016.91i | −0.667596 | − | 0.281603i | ||||
\(771\) | −15412.6 | − | 4525.55i | −0.719937 | − | 0.211393i | ||||
\(772\) | −15322.9 | + | 6997.75i | −0.714359 | + | 0.326237i | ||||
\(773\) | −36983.1 | − | 5317.37i | −1.72081 | − | 0.247416i | −0.790052 | − | 0.613040i | \(-0.789946\pi\) |
−0.930763 | + | 0.365624i | \(0.880856\pi\) | |||||||
\(774\) | −5715.95 | + | 6596.55i | −0.265446 | + | 0.306341i | ||||
\(775\) | 17860.8 | − | 23226.4i | 0.827843 | − | 1.07654i | ||||
\(776\) | 849.997 | + | 546.260i | 0.0393210 | + | 0.0252701i | ||||
\(777\) | −6411.53 | + | 921.839i | −0.296026 | + | 0.0425622i | ||||
\(778\) | 5905.40 | + | 9188.98i | 0.272132 | + | 0.423446i | ||||
\(779\) | 3116.93 | + | 3597.12i | 0.143357 | + | 0.165443i | ||||
\(780\) | 1163.21 | − | 202.101i | 0.0533969 | − | 0.00927742i | ||||
\(781\) | −9377.05 | −0.429625 | ||||||||
\(782\) | 17740.2 | − | 3455.03i | 0.811237 | − | 0.157994i | ||||
\(783\) | 25941.7i | 1.18401i | ||||||||
\(784\) | −2591.90 | + | 761.051i | −0.118071 | + | 0.0346688i | ||||
\(785\) | −16428.1 | + | 11249.4i | −0.746936 | + | 0.511474i | ||||
\(786\) | 1230.31 | − | 790.673i | 0.0558317 | − | 0.0358809i | ||||
\(787\) | 10708.7 | − | 1539.68i | 0.485036 | − | 0.0697376i | 0.104541 | − | 0.994521i | \(-0.466663\pi\) |
0.380495 | + | 0.924783i | \(0.375754\pi\) | |||||||
\(788\) | 6432.86 | − | 10009.7i | 0.290814 | − | 0.452515i | ||||
\(789\) | 5319.48 | − | 11648.0i | 0.240023 | − | 0.525578i | ||||
\(790\) | −5901.16 | − | 6421.12i | −0.265764 | − | 0.289181i | ||||
\(791\) | −1476.02 | + | 10265.9i | −0.0663479 | + | 0.461460i | ||||
\(792\) | 6098.86 | − | 2785.26i | 0.273628 | − | 0.124962i | ||||
\(793\) | 75.1355 | − | 255.888i | 0.00336462 | − | 0.0114588i | ||||
\(794\) | −24912.3 | − | 7314.91i | −1.11348 | − | 0.326948i | ||||
\(795\) | 2145.94 | + | 6589.55i | 0.0957342 | + | 0.293971i | ||||
\(796\) | −167.967 | + | 1168.24i | −0.00747918 | + | 0.0520189i | ||||
\(797\) | −26898.2 | − | 23307.5i | −1.19546 | − | 1.03588i | −0.998460 | − | 0.0554724i | \(-0.982334\pi\) |
−0.197003 | − | 0.980403i | \(-0.563121\pi\) | |||||||
\(798\) | 1596.13 | + | 728.928i | 0.0708050 | + | 0.0323356i | ||||
\(799\) | −30278.6 | − | 19458.9i | −1.34065 | − | 0.861584i | ||||
\(800\) | 3985.78 | + | 336.976i | 0.176148 | + | 0.0148924i | ||||
\(801\) | −18525.3 | + | 11905.5i | −0.817177 | + | 0.525168i | ||||
\(802\) | −6112.68 | + | 5296.67i | −0.269135 | + | 0.233207i | ||||
\(803\) | 10298.6 | + | 35073.9i | 0.452591 | + | 1.54138i | ||||
\(804\) | 5806.93 | 0.254720 | ||||||||
\(805\) | −1280.81 | − | 16224.9i | −0.0560777 | − | 0.710374i | ||||
\(806\) | 3727.37 | 0.162892 | ||||||||
\(807\) | 332.973 | + | 1134.00i | 0.0145244 | + | 0.0494656i | ||||
\(808\) | −1895.34 | + | 1642.32i | −0.0825221 | + | 0.0715058i | ||||
\(809\) | 16096.6 | − | 10344.7i | 0.699539 | − | 0.449566i | −0.141927 | − | 0.989877i | \(-0.545330\pi\) |
0.841465 | + | 0.540311i | \(0.181693\pi\) | |||||||
\(810\) | 948.792 | − | 27.7390i | 0.0411570 | − | 0.00120327i | ||||
\(811\) | −15961.2 | − | 10257.6i | −0.691088 | − | 0.444135i | 0.147385 | − | 0.989079i | \(-0.452914\pi\) |
−0.838472 | + | 0.544944i | \(0.816551\pi\) | |||||||
\(812\) | 8729.83 | + | 3986.78i | 0.377287 | + | 0.172301i | ||||
\(813\) | −18085.4 | − | 15671.1i | −0.780177 | − | 0.676027i | ||||
\(814\) | −2207.30 | + | 15352.1i | −0.0950441 | + | 0.661046i | ||||
\(815\) | −34686.8 | + | 11296.0i | −1.49083 | + | 0.485500i | ||||
\(816\) | 4176.02 | + | 1226.19i | 0.179154 | + | 0.0526045i | ||||
\(817\) | −1541.00 | + | 5248.16i | −0.0659886 | + | 0.224737i | ||||
\(818\) | 15243.7 | − | 6961.57i | 0.651570 | − | 0.297562i | ||||
\(819\) | −238.564 | + | 1659.25i | −0.0101784 | + | 0.0707924i | ||||
\(820\) | 7827.67 | − | 7193.81i | 0.333359 | − | 0.306364i | ||||
\(821\) | −4580.96 | + | 10030.9i | −0.194734 | + | 0.426408i | −0.981660 | − | 0.190639i | \(-0.938944\pi\) |
0.786926 | + | 0.617047i | \(0.211671\pi\) | |||||||
\(822\) | −6574.07 | + | 10229.5i | −0.278950 | + | 0.434055i | ||||
\(823\) | −16762.8 | + | 2410.13i | −0.709982 | + | 0.102080i | −0.487839 | − | 0.872934i | \(-0.662215\pi\) |
−0.222144 | + | 0.975014i | \(0.571305\pi\) | |||||||
\(824\) | 5896.01 | − | 3789.13i | 0.249268 | − | 0.160195i | ||||
\(825\) | −19243.8 | + | 10186.8i | −0.812099 | + | 0.429889i | ||||
\(826\) | −2226.81 | + | 653.851i | −0.0938023 | + | 0.0275429i | ||||
\(827\) | 8885.67i | 0.373622i | 0.982396 | + | 0.186811i | \(0.0598152\pi\) | ||||
−0.982396 | + | 0.186811i | \(0.940185\pi\) | |||||||
\(828\) | 5549.08 | + | 4346.36i | 0.232903 | + | 0.182423i | ||||
\(829\) | −33325.1 | −1.39618 | −0.698088 | − | 0.716012i | \(-0.745965\pi\) | ||||
−0.698088 | + | 0.716012i | \(0.745965\pi\) | |||||||
\(830\) | −21341.6 | + | 3708.00i | −0.892504 | + | 0.155068i | ||||
\(831\) | 10457.3 | + | 12068.4i | 0.436534 | + | 0.503787i | ||||
\(832\) | 275.111 | + | 428.082i | 0.0114637 | + | 0.0178378i | ||||
\(833\) | −13690.9 | + | 1968.46i | −0.569464 | + | 0.0818765i | ||||
\(834\) | −15812.0 | − | 10161.7i | −0.656503 | − | 0.421909i | ||||
\(835\) | 1549.12 | + | 932.742i | 0.0642029 | + | 0.0386573i | ||||
\(836\) | 2751.43 | − | 3175.32i | 0.113828 | − | 0.131364i | ||||
\(837\) | 33106.3 | + | 4759.97i | 1.36717 | + | 0.196570i | ||||
\(838\) | −10248.3 | + | 4680.26i | −0.422462 | + | 0.192932i | ||||
\(839\) | 17801.5 | + | 5227.00i | 0.732511 | + | 0.215085i | 0.626655 | − | 0.779297i | \(-0.284424\pi\) |
0.105856 | + | 0.994381i | \(0.466242\pi\) | |||||||
\(840\) | 1523.26 | − | 3611.18i | 0.0625683 | − | 0.148331i | ||||
\(841\) | 3598.60 | + | 7879.83i | 0.147550 | + | 0.323089i | ||||
\(842\) | −26835.5 | − | 3858.36i | −1.09835 | − | 0.157919i | ||||
\(843\) | −3715.43 | − | 3219.44i | −0.151799 | − | 0.131534i | ||||
\(844\) | 7158.38 | − | 15674.7i | 0.291945 | − | 0.639270i | ||||
\(845\) | −18478.3 | − | 15089.1i | −0.752276 | − | 0.614295i | ||||
\(846\) | −1997.66 | − | 13894.0i | −0.0811832 | − | 0.564641i | ||||
\(847\) | 10140.3 | + | 15778.6i | 0.411363 | + | 0.640094i | ||||
\(848\) | −2257.39 | + | 1956.04i | −0.0914139 | + | 0.0792106i | ||||
\(849\) | −5900.84 | + | 1732.64i | −0.238535 | + | 0.0700402i | ||||
\(850\) | 19955.3 | + | 4612.32i | 0.805250 | + | 0.186119i | ||||
\(851\) | −15398.2 | + | 5363.02i | −0.620263 | + | 0.216031i | ||||
\(852\) | − | 2373.92i | − | 0.0954568i | ||||||
\(853\) | −11249.3 | − | 38311.6i | −0.451546 | − | 1.53783i | −0.799707 | − | 0.600391i | \(-0.795012\pi\) |
0.348161 | − | 0.937435i | \(-0.386806\pi\) | |||||||
\(854\) | −579.764 | − | 669.083i | −0.0232308 | − | 0.0268098i | ||||
\(855\) | −3208.18 | + | 1580.02i | −0.128324 | + | 0.0631993i | ||||
\(856\) | −1928.27 | − | 13411.4i | −0.0769942 | − | 0.535506i | ||||
\(857\) | 20327.8 | − | 31630.6i | 0.810249 | − | 1.26077i | −0.151940 | − | 0.988390i | \(-0.548552\pi\) |
0.962189 | − | 0.272383i | \(-0.0878117\pi\) | |||||||
\(858\) | −2519.63 | − | 1150.68i | −0.100255 | − | 0.0457850i | ||||
\(859\) | 4767.95 | − | 5502.50i | 0.189383 | − | 0.218560i | −0.653115 | − | 0.757258i | \(-0.726538\pi\) |
0.842499 | + | 0.538698i | \(0.181084\pi\) | |||||||
\(860\) | 11817.9 | + | 3097.94i | 0.468590 | + | 0.122836i | ||||
\(861\) | −4327.29 | − | 9475.43i | −0.171282 | − | 0.375055i | ||||
\(862\) | −5689.34 | + | 19376.1i | −0.224802 | + | 0.765606i | ||||
\(863\) | −8940.84 | + | 30449.7i | −0.352665 | + | 1.20107i | 0.571990 | + | 0.820260i | \(0.306172\pi\) |
−0.924655 | + | 0.380806i | \(0.875647\pi\) | |||||||
\(864\) | 1896.85 | + | 4153.52i | 0.0746900 | + | 0.163548i | ||||
\(865\) | 8974.33 | + | 2352.53i | 0.352759 | + | 0.0924721i | ||||
\(866\) | −11660.3 | + | 13456.7i | −0.457546 | + | 0.528036i | ||||
\(867\) | 5432.93 | + | 2481.13i | 0.212816 | + | 0.0971900i | ||||
\(868\) | 6689.68 | − | 10409.3i | 0.261593 | − | 0.407046i | ||||
\(869\) | 2911.85 | + | 20252.3i | 0.113668 | + | 0.790579i | ||||
\(870\) | 12108.9 | − | 5963.60i | 0.471874 | − | 0.232396i | ||||
\(871\) | 2276.53 | + | 2627.26i | 0.0885619 | + | 0.102206i | ||||
\(872\) | 4964.82 | + | 16908.6i | 0.192810 | + | 0.656650i | ||||
\(873\) | 2017.68i | 0.0782225i | ||||||||
\(874\) | 4294.54 | + | 1032.98i | 0.166207 | + | 0.0399784i | ||||
\(875\) | 6163.18 | − | 17383.5i | 0.238118 | − | 0.671622i | ||||
\(876\) | −8879.41 | + | 2607.23i | −0.342474 | + | 0.100559i | ||||
\(877\) | −34116.2 | + | 29561.9i | −1.31359 | + | 1.13824i | −0.332842 | + | 0.942983i | \(0.608008\pi\) |
−0.980753 | + | 0.195254i | \(0.937447\pi\) | |||||||
\(878\) | 11055.7 | + | 17203.0i | 0.424956 | + | 0.661245i | ||||
\(879\) | 1586.84 | + | 11036.7i | 0.0608904 | + | 0.423502i | ||||
\(880\) | −7268.98 | − | 5935.72i | −0.278451 | − | 0.227378i | ||||
\(881\) | 3357.89 | − | 7352.76i | 0.128411 | − | 0.281181i | −0.834496 | − | 0.551014i | \(-0.814241\pi\) |
0.962907 | + | 0.269833i | \(0.0869684\pi\) | |||||||
\(882\) | −4076.78 | − | 3532.55i | −0.155637 | − | 0.134861i | ||||
\(883\) | 44048.2 | + | 6333.18i | 1.67876 | + | 0.241369i | 0.914802 | − | 0.403902i | \(-0.132346\pi\) |
0.763954 | + | 0.645271i | \(0.223256\pi\) | |||||||
\(884\) | 1082.39 | + | 2370.09i | 0.0411816 | + | 0.0901752i | ||||
\(885\) | −1268.61 | + | 3007.50i | −0.0481852 | + | 0.114233i | ||||
\(886\) | 6677.76 | + | 1960.77i | 0.253210 | + | 0.0743490i | ||||
\(887\) | 23840.3 | − | 10887.5i | 0.902458 | − | 0.412139i | 0.0905280 | − | 0.995894i | \(-0.471145\pi\) |
0.811930 | + | 0.583755i | \(0.198417\pi\) | |||||||
\(888\) | −3886.59 | − | 558.807i | −0.146875 | − | 0.0211175i | ||||
\(889\) | −7554.24 | + | 8718.05i | −0.284995 | + | 0.328902i | ||||
\(890\) | 26405.6 | + | 15899.1i | 0.994515 | + | 0.598809i | ||||
\(891\) | −1873.44 | − | 1203.99i | −0.0704406 | − | 0.0452694i | ||||
\(892\) | −968.652 | + | 139.271i | −0.0363597 | + | 0.00522774i | ||||
\(893\) | −4755.61 | − | 7399.87i | −0.178209 | − | 0.277298i | ||||
\(894\) | −7736.81 | − | 8928.76i | −0.289438 | − | 0.334029i | ||||
\(895\) | 1637.33 | − | 284.477i | 0.0611507 | − | 0.0106246i | ||||
\(896\) | 1689.25 | 0.0629842 | ||||||||
\(897\) | −144.231 | − | 2908.43i | −0.00536869 | − | 0.108261i | ||||
\(898\) | − | 9309.34i | − | 0.345943i | ||||||
\(899\) | 40887.6 | − | 12005.7i | 1.51688 | − | 0.445397i | ||||
\(900\) | 3737.04 | + | 7059.61i | 0.138409 | + | 0.261467i | ||||
\(901\) | −12866.3 | + | 8268.69i | −0.475738 | + | 0.305738i | ||||
\(902\) | −24688.6 | + | 3549.69i | −0.911354 | + | 0.131033i | ||||
\(903\) | 6471.87 | − | 10070.4i | 0.238505 | − | 0.371122i | ||||
\(904\) | −2611.74 | + | 5718.92i | −0.0960899 | + | 0.210408i | ||||
\(905\) | −22498.7 | + | 20676.8i | −0.826387 | + | 0.759469i | ||||
\(906\) | −3362.06 | + | 23383.6i | −0.123286 | + | 0.857471i | ||||
\(907\) | 22791.5 | − | 10408.5i | 0.834376 | − | 0.381047i | 0.0480400 | − | 0.998845i | \(-0.484703\pi\) |
0.786337 | + | 0.617798i | \(0.211975\pi\) | |||||||
\(908\) | −2339.14 | + | 7966.37i | −0.0854923 | + | 0.291160i | ||||
\(909\) | −4805.23 | − | 1410.94i | −0.175335 | − | 0.0514829i | ||||
\(910\) | 2231.00 | − | 726.544i | 0.0812714 | − | 0.0264667i | ||||
\(911\) | −3091.05 | + | 21498.7i | −0.112416 | + | 0.781871i | 0.853141 | + | 0.521680i | \(0.174694\pi\) |
−0.965557 | + | 0.260191i | \(0.916215\pi\) | |||||||
\(912\) | 803.873 | + | 696.560i | 0.0291874 | + | 0.0252910i | ||||
\(913\) | 46228.2 | + | 21111.7i | 1.67572 | + | 0.765275i | ||||
\(914\) | 12860.6 | + | 8265.00i | 0.465416 | + | 0.299105i | ||||
\(915\) | −1244.63 | + | 36.3881i | −0.0449684 | + | 0.00131470i | ||||
\(916\) | 14158.1 | − | 9098.86i | 0.510695 | − | 0.328204i | ||||
\(917\) | 2196.54 | − | 1903.31i | 0.0791014 | − | 0.0685418i | ||||
\(918\) | 6587.01 | + | 22433.3i | 0.236823 | + | 0.806546i | ||||
\(919\) | −43987.6 | −1.57891 | −0.789454 | − | 0.613810i | \(-0.789636\pi\) | ||||
−0.789454 | + | 0.613810i | \(0.789636\pi\) | |||||||
\(920\) | 2025.97 | − | 9655.64i | 0.0726023 | − | 0.346019i | ||||
\(921\) | 11589.7 | 0.414652 | ||||||||
\(922\) | 4605.91 | + | 15686.3i | 0.164520 | + | 0.560304i | ||||
\(923\) | 1074.05 | − | 930.667i | 0.0383019 | − | 0.0331888i | ||||
\(924\) | −7735.57 | + | 4971.35i | −0.275413 | + | 0.176997i | ||||
\(925\) | −18412.1 | − | 1556.65i | −0.654473 | − | 0.0553321i | ||||
\(926\) | −24442.4 | − | 15708.2i | −0.867417 | − | 0.557455i | ||||
\(927\) | 12730.9 | + | 5814.01i | 0.451066 | + | 0.205995i | ||||
\(928\) | 4396.68 | + | 3809.74i | 0.155526 | + | 0.134764i | ||||
\(929\) | −7846.51 | + | 54573.7i | −0.277110 | + | 1.92735i | 0.0874573 | + | 0.996168i | \(0.472126\pi\) |
−0.364568 | + | 0.931177i | \(0.618783\pi\) | |||||||
\(930\) | −5388.81 | − | 16547.4i | −0.190007 | − | 0.583454i | ||||
\(931\) | −3243.45 | − | 952.362i | −0.114178 | − | 0.0335257i | ||||
\(932\) | 2028.80 | − | 6909.45i | 0.0713041 | − | 0.242840i | ||||
\(933\) | −16840.1 | + | 7690.60i | −0.590910 | + | 0.269859i | ||||
\(934\) | −566.284 | + | 3938.59i | −0.0198387 | + | 0.137981i | ||||
\(935\) | −32515.5 | − | 35380.5i | −1.13730 | − | 1.23751i | ||||
\(936\) | −422.128 | + | 924.332i | −0.0147411 | + | 0.0322785i | ||||
\(937\) | 11731.5 | − | 18254.6i | 0.409021 | − | 0.636449i | −0.574233 | − | 0.818692i | \(-0.694700\pi\) |
0.983253 | + | 0.182243i | \(0.0583359\pi\) | |||||||
\(938\) | 11422.9 | − | 1642.36i | 0.397623 | − | 0.0571696i | ||||
\(939\) | −28499.4 | + | 18315.4i | −0.990460 | + | 0.636530i | ||||
\(940\) | −16210.9 | + | 11100.6i | −0.562492 | + | 0.385174i | ||||
\(941\) | −18995.7 | + | 5577.65i | −0.658070 | + | 0.193227i | −0.593684 | − | 0.804698i | \(-0.702327\pi\) |
−0.0643859 | + | 0.997925i | \(0.520509\pi\) | |||||||
\(942\) | 11826.1i | 0.409038i | ||||||||
\(943\) | −15251.7 | − | 21329.9i | −0.526685 | − | 0.736581i | ||||
\(944\) | −1406.85 | −0.0485055 | ||||||||
\(945\) | 20743.5 | − | 3604.07i | 0.714058 | − | 0.124064i | ||||
\(946\) | −18770.5 | − | 21662.4i | −0.645119 | − | 0.744507i | ||||
\(947\) | −1827.54 | − | 2843.71i | −0.0627107 | − | 0.0975798i | 0.808482 | − | 0.588521i | \(-0.200289\pi\) |
−0.871193 | + | 0.490941i | \(0.836653\pi\) | |||||||
\(948\) | −5127.14 | + | 737.171i | −0.175656 | + | 0.0252555i | ||||
\(949\) | −4660.66 | − | 2995.23i | −0.159422 | − | 0.102454i | ||||
\(950\) | 3967.95 | + | 3051.31i | 0.135513 | + | 0.104208i | ||||
\(951\) | 2273.95 | − | 2624.28i | 0.0775371 | − | 0.0894826i | ||||
\(952\) | 8561.51 | + | 1230.96i | 0.291471 | + | 0.0419072i | ||||
\(953\) | 41148.6 | − | 18791.9i | 1.39867 | − | 0.638752i | 0.433688 | − | 0.901063i | \(-0.357212\pi\) |
0.964983 | + | 0.262312i | \(0.0844848\pi\) | |||||||
\(954\) | −5723.11 | − | 1680.46i | −0.194227 | − | 0.0570302i | ||||
\(955\) | 6095.15 | + | 2571.03i | 0.206528 | + | 0.0871170i | ||||
\(956\) | 9009.84 | + | 19728.8i | 0.304811 | + | 0.667443i | ||||
\(957\) | −31345.5 | − | 4506.80i | −1.05878 | − | 0.152230i | ||||
\(958\) | −1373.42 | − | 1190.07i | −0.0463185 | − | 0.0401352i | ||||
\(959\) | −10038.8 | + | 21981.8i | −0.338028 | + | 0.740177i | ||||
\(960\) | 1502.70 | − | 1840.24i | 0.0505204 | − | 0.0618681i | ||||
\(961\) | −3579.39 | − | 24895.2i | −0.120150 | − | 0.835662i | ||||
\(962\) | −1270.86 | − | 1977.50i | −0.0425928 | − | 0.0662757i | ||||
\(963\) | 20448.4 | − | 17718.6i | 0.684257 | − | 0.592912i | ||||
\(964\) | −519.711 | + | 152.601i | −0.0173639 | + | 0.00509849i | ||||
\(965\) | −5335.91 | + | 46780.5i | −0.177999 | + | 1.56054i | ||||
\(966\) | −8381.17 | − | 4817.10i | −0.279151 | − | 0.160443i | ||||
\(967\) | − | 47762.8i | − | 1.58836i | −0.607680 | − | 0.794182i | \(-0.707899\pi\) | ||
0.607680 | − | 0.794182i | \(-0.292101\pi\) | |||||||
\(968\) | 3203.21 | + | 10909.1i | 0.106359 | + | 0.362224i | ||||
\(969\) | 3566.63 | + | 4116.11i | 0.118242 | + | 0.136459i | ||||
\(970\) | 2533.54 | − | 1247.76i | 0.0838630 | − | 0.0413022i | ||||
\(971\) | 8217.69 | + | 57155.3i | 0.271594 | + | 1.88898i | 0.431913 | + | 0.901915i | \(0.357839\pi\) |
−0.160319 | + | 0.987065i | \(0.551252\pi\) | |||||||
\(972\) | −8026.90 | + | 12490.1i | −0.264879 | + | 0.412161i | ||||
\(973\) | −33977.9 | − | 15517.2i | −1.11951 | − | 0.511263i | ||||
\(974\) | 8598.56 | − | 9923.27i | 0.282870 | − | 0.326450i | ||||
\(975\) | 1193.15 | − | 3076.72i | 0.0391911 | − | 0.101061i | ||||
\(976\) | −222.941 | − | 488.174i | −0.00731166 | − | 0.0160103i | ||||
\(977\) | 3188.68 | − | 10859.7i | 0.104417 | − | 0.355610i | −0.890666 | − | 0.454658i | \(-0.849762\pi\) |
0.995083 | + | 0.0990478i | \(0.0315797\pi\) | |||||||
\(978\) | −6104.43 | + | 20789.8i | −0.199589 | + | 0.679738i | ||||
\(979\) | −30040.6 | − | 65779.8i | −0.980697 | − | 2.14743i | ||||
\(980\) | −1914.58 | + | 7303.65i | −0.0624071 | + | 0.238068i | ||||
\(981\) | −23045.1 | + | 26595.4i | −0.750023 | + | 0.865573i | ||||
\(982\) | −1697.01 | − | 775.000i | −0.0551465 | − | 0.0251846i | ||||
\(983\) | 5182.85 | − | 8064.67i | 0.168166 | − | 0.261671i | −0.746934 | − | 0.664898i | \(-0.768475\pi\) |
0.915100 | + | 0.403227i | \(0.132111\pi\) | |||||||
\(984\) | −898.649 | − | 6250.24i | −0.0291137 | − | 0.202490i | ||||
\(985\) | −14693.9 | − | 29835.5i | −0.475315 | − | 0.965114i | ||||
\(986\) | 19507.2 | + | 22512.5i | 0.630058 | + | 0.727125i | ||||
\(987\) | 5423.63 | + | 18471.2i | 0.174910 | + | 0.595689i | ||||
\(988\) | 636.778i | 0.0205047i | ||||||||
\(989\) | 11144.9 | − | 27996.7i | 0.358329 | − | 0.900145i | ||||
\(990\) | 2123.81 | − | 18619.6i | 0.0681808 | − | 0.597749i | ||||
\(991\) | 52641.2 | − | 15456.9i | 1.68739 | − | 0.495462i | 0.709521 | − | 0.704684i | \(-0.248911\pi\) |
0.977868 | + | 0.209222i | \(0.0670930\pi\) | |||||||
\(992\) | 5668.67 | − | 4911.93i | 0.181432 | − | 0.157212i | ||||
\(993\) | 11642.6 | + | 18116.2i | 0.372071 | + | 0.578953i | ||||
\(994\) | −671.412 | − | 4669.77i | −0.0214244 | − | 0.149010i | ||||
\(995\) | 2555.21 | + | 2086.54i | 0.0814126 | + | 0.0664800i | ||||
\(996\) | −5344.70 | + | 11703.3i | −0.170034 | + | 0.372322i | ||||
\(997\) | −23151.3 | − | 20060.7i | −0.735416 | − | 0.637241i | 0.204414 | − | 0.978885i | \(-0.434471\pi\) |
−0.939830 | + | 0.341643i | \(0.889017\pi\) | |||||||
\(998\) | −3642.84 | − | 523.761i | −0.115543 | − | 0.0166126i | ||||
\(999\) | −8762.42 | − | 19187.0i | −0.277508 | − | 0.607658i |
(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 | 230.4.j.a.9.8 | ✓ | 360 | |
5.4 | even | 2 | inner | 230.4.j.a.9.29 | yes | 360 | |
23.18 | even | 11 | inner | 230.4.j.a.179.29 | yes | 360 | |
115.64 | even | 22 | inner | 230.4.j.a.179.8 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.4.j.a.9.8 | ✓ | 360 | 1.1 | even | 1 | trivial | |
230.4.j.a.9.29 | yes | 360 | 5.4 | even | 2 | inner | |
230.4.j.a.179.8 | yes | 360 | 115.64 | even | 22 | inner | |
230.4.j.a.179.29 | yes | 360 | 23.18 | even | 11 | inner |