Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,4,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), 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: | \(4.48414516044\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 76.3 |
Dual form | 76.4.k.a.51.3 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.67496 | + | 0.919012i | −0.945742 | + | 0.324920i | ||||
\(3\) | −7.61194 | + | 2.77052i | −1.46492 | + | 0.533187i | −0.946716 | − | 0.322070i | \(-0.895621\pi\) |
−0.518204 | + | 0.855257i | \(0.673399\pi\) | |||||||
\(4\) | 6.31083 | − | 4.91664i | 0.788854 | − | 0.614581i | ||||
\(5\) | 2.53263 | − | 14.3633i | 0.226525 | − | 1.28469i | −0.633222 | − | 0.773970i | \(-0.718268\pi\) |
0.859747 | − | 0.510719i | \(-0.170621\pi\) | |||||||
\(6\) | 17.8155 | − | 14.4065i | 1.21219 | − | 0.980239i | ||||
\(7\) | −10.1706 | + | 5.87199i | −0.549160 | + | 0.317058i | −0.748783 | − | 0.662815i | \(-0.769362\pi\) |
0.199623 | + | 0.979873i | \(0.436028\pi\) | |||||||
\(8\) | −12.3628 | + | 18.9516i | −0.546363 | + | 0.837549i | ||||
\(9\) | 29.5827 | − | 24.8228i | 1.09566 | − | 0.919364i | ||||
\(10\) | 6.42533 | + | 40.7487i | 0.203187 | + | 1.28859i | ||||
\(11\) | 28.3521 | + | 16.3691i | 0.777133 | + | 0.448678i | 0.835413 | − | 0.549622i | \(-0.185228\pi\) |
−0.0582801 | + | 0.998300i | \(0.518562\pi\) | |||||||
\(12\) | −34.4160 | + | 54.9095i | −0.827921 | + | 1.32092i | ||||
\(13\) | −17.6504 | + | 48.4941i | −0.376565 | + | 1.03460i | 0.596205 | + | 0.802832i | \(0.296674\pi\) |
−0.972770 | + | 0.231772i | \(0.925548\pi\) | |||||||
\(14\) | 21.8095 | − | 25.0543i | 0.416345 | − | 0.478288i | ||||
\(15\) | 20.5155 | + | 116.349i | 0.353138 | + | 2.00275i | ||||
\(16\) | 15.6532 | − | 62.0562i | 0.244582 | − | 0.969629i | ||||
\(17\) | 81.6344 | + | 68.4994i | 1.16466 | + | 0.977267i | 0.999959 | − | 0.00907602i | \(-0.00288903\pi\) |
0.164703 | + | 0.986343i | \(0.447333\pi\) | |||||||
\(18\) | −56.3201 | + | 93.5870i | −0.737487 | + | 1.22548i | ||||
\(19\) | 20.1743 | − | 80.3243i | 0.243594 | − | 0.969877i | ||||
\(20\) | −54.6361 | − | 103.096i | −0.610850 | − | 1.15265i | ||||
\(21\) | 61.1495 | − | 72.8751i | 0.635424 | − | 0.757269i | ||||
\(22\) | −90.8840 | − | 17.7307i | −0.880752 | − | 0.171827i | ||||
\(23\) | 37.0419 | − | 6.53149i | 0.335816 | − | 0.0592135i | −0.00319739 | − | 0.999995i | \(-0.501018\pi\) |
0.339014 | + | 0.940781i | \(0.389907\pi\) | |||||||
\(24\) | 41.5990 | − | 178.510i | 0.353807 | − | 1.51825i | ||||
\(25\) | −82.4276 | − | 30.0012i | −0.659421 | − | 0.240010i | ||||
\(26\) | 2.64748 | − | 145.941i | 0.0199698 | − | 1.10082i | ||||
\(27\) | −47.0534 | + | 81.4990i | −0.335387 | + | 0.580907i | ||||
\(28\) | −35.3144 | + | 87.0623i | −0.238350 | + | 0.587616i | ||||
\(29\) | 148.555 | + | 177.041i | 0.951242 | + | 1.13365i | 0.990923 | + | 0.134434i | \(0.0429215\pi\) |
−0.0396805 | + | 0.999212i | \(0.512634\pi\) | |||||||
\(30\) | −161.804 | − | 292.375i | −0.984710 | − | 1.77934i | ||||
\(31\) | 84.4478 | + | 146.268i | 0.489267 | + | 0.847435i | 0.999924 | − | 0.0123495i | \(-0.00393107\pi\) |
−0.510657 | + | 0.859785i | \(0.670598\pi\) | |||||||
\(32\) | 15.1587 | + | 180.384i | 0.0837407 | + | 0.996488i | ||||
\(33\) | −261.165 | − | 46.0504i | −1.37767 | − | 0.242920i | ||||
\(34\) | −281.321 | − | 108.210i | −1.41900 | − | 0.545820i | ||||
\(35\) | 58.5826 | + | 160.954i | 0.282922 | + | 0.777322i | ||||
\(36\) | 64.6464 | − | 302.100i | 0.299289 | − | 1.39861i | ||||
\(37\) | − | 380.764i | − | 1.69182i | −0.533329 | − | 0.845908i | \(-0.679059\pi\) | ||
0.533329 | − | 0.845908i | \(-0.320941\pi\) | |||||||
\(38\) | 19.8537 | + | 233.405i | 0.0847550 | + | 0.996402i | ||||
\(39\) | − | 418.035i | − | 1.71639i | ||||||
\(40\) | 240.896 | + | 225.567i | 0.952225 | + | 0.891633i | ||||
\(41\) | 12.5475 | + | 34.4739i | 0.0477948 | + | 0.131315i | 0.961293 | − | 0.275527i | \(-0.0888522\pi\) |
−0.913499 | + | 0.406842i | \(0.866630\pi\) | |||||||
\(42\) | −96.5994 | + | 251.135i | −0.354895 | + | 0.922643i | ||||
\(43\) | 28.2235 | + | 4.97657i | 0.100094 | + | 0.0176493i | 0.223471 | − | 0.974711i | \(-0.428261\pi\) |
−0.123377 | + | 0.992360i | \(0.539372\pi\) | |||||||
\(44\) | 259.406 | − | 36.0945i | 0.888793 | − | 0.123669i | ||||
\(45\) | −281.615 | − | 487.771i | −0.932904 | − | 1.61584i | ||||
\(46\) | −93.0832 | + | 51.5135i | −0.298356 | + | 0.165114i | ||||
\(47\) | 201.568 | + | 240.219i | 0.625568 | + | 0.745523i | 0.982017 | − | 0.188792i | \(-0.0604570\pi\) |
−0.356449 | + | 0.934315i | \(0.616013\pi\) | |||||||
\(48\) | 52.7767 | + | 515.736i | 0.158701 | + | 1.55084i | ||||
\(49\) | −102.539 | + | 177.603i | −0.298949 | + | 0.517794i | ||||
\(50\) | 248.062 | + | 4.50005i | 0.701626 | + | 0.0127281i | ||||
\(51\) | −811.175 | − | 295.244i | −2.22720 | − | 0.810635i | ||||
\(52\) | 127.039 | + | 392.819i | 0.338792 | + | 1.04758i | ||||
\(53\) | 404.995 | − | 71.4115i | 1.04963 | − | 0.185078i | 0.377878 | − | 0.925855i | \(-0.376654\pi\) |
0.671750 | + | 0.740778i | \(0.265543\pi\) | |||||||
\(54\) | 50.9676 | − | 261.249i | 0.128441 | − | 0.658361i | ||||
\(55\) | 306.919 | − | 365.771i | 0.752452 | − | 0.896738i | ||||
\(56\) | 14.4533 | − | 265.343i | 0.0344893 | − | 0.633177i | ||||
\(57\) | 68.9748 | + | 667.318i | 0.160280 | + | 1.55067i | ||||
\(58\) | −560.083 | − | 337.054i | −1.26797 | − | 0.763059i | ||||
\(59\) | −417.475 | − | 350.303i | −0.921197 | − | 0.772976i | 0.0530186 | − | 0.998594i | \(-0.483116\pi\) |
−0.974216 | + | 0.225617i | \(0.927560\pi\) | |||||||
\(60\) | 701.517 | + | 633.392i | 1.50942 | + | 1.36284i | ||||
\(61\) | 55.5403 | + | 314.985i | 0.116577 | + | 0.661142i | 0.985957 | + | 0.166998i | \(0.0534073\pi\) |
−0.869380 | + | 0.494144i | \(0.835482\pi\) | |||||||
\(62\) | −360.317 | − | 313.652i | −0.738069 | − | 0.642482i | ||||
\(63\) | −155.114 | + | 426.172i | −0.310199 | + | 0.852264i | ||||
\(64\) | −206.324 | − | 468.588i | −0.402976 | − | 0.915211i | ||||
\(65\) | 651.832 | + | 376.335i | 1.24384 | + | 0.718133i | ||||
\(66\) | 740.927 | − | 116.831i | 1.38185 | − | 0.217892i | ||||
\(67\) | 75.4476 | − | 63.3080i | 0.137573 | − | 0.115437i | −0.571404 | − | 0.820669i | \(-0.693601\pi\) |
0.708977 | + | 0.705231i | \(0.249157\pi\) | |||||||
\(68\) | 851.968 | + | 30.9209i | 1.51936 | + | 0.0551429i | ||||
\(69\) | −263.866 | + | 152.343i | −0.460372 | + | 0.265796i | ||||
\(70\) | −304.625 | − | 376.709i | −0.520139 | − | 0.643219i | ||||
\(71\) | −107.761 | + | 611.141i | −0.180124 | + | 1.02154i | 0.751937 | + | 0.659235i | \(0.229120\pi\) |
−0.932061 | + | 0.362301i | \(0.881991\pi\) | |||||||
\(72\) | 104.707 | + | 867.518i | 0.171387 | + | 1.41997i | ||||
\(73\) | −961.042 | + | 349.791i | −1.54084 | + | 0.560821i | −0.966247 | − | 0.257617i | \(-0.917063\pi\) |
−0.574595 | + | 0.818438i | \(0.694841\pi\) | |||||||
\(74\) | 349.927 | + | 1018.53i | 0.549705 | + | 1.60002i | ||||
\(75\) | 710.553 | 1.09397 | ||||||||
\(76\) | −267.610 | − | 606.103i | −0.403907 | − | 0.914800i | ||||
\(77\) | −384.476 | −0.569028 | ||||||||
\(78\) | 384.180 | + | 1118.23i | 0.557689 | + | 1.62326i | ||||
\(79\) | 611.831 | − | 222.688i | 0.871346 | − | 0.317144i | 0.132634 | − | 0.991165i | \(-0.457656\pi\) |
0.738712 | + | 0.674021i | \(0.235434\pi\) | |||||||
\(80\) | −851.686 | − | 381.997i | −1.19027 | − | 0.533857i | ||||
\(81\) | −48.6844 | + | 276.103i | −0.0667825 | + | 0.378742i | ||||
\(82\) | −65.2460 | − | 80.6852i | −0.0878685 | − | 0.108661i | ||||
\(83\) | 639.853 | − | 369.419i | 0.846180 | − | 0.488542i | −0.0131801 | − | 0.999913i | \(-0.504195\pi\) |
0.859360 | + | 0.511371i | \(0.170862\pi\) | |||||||
\(84\) | 27.6032 | − | 760.553i | 0.0358542 | − | 0.987894i | ||||
\(85\) | 1190.62 | − | 999.053i | 1.51931 | − | 1.27485i | ||||
\(86\) | −80.0703 | + | 12.6256i | −0.100398 | + | 0.0158309i | ||||
\(87\) | −1621.29 | − | 936.053i | −1.99794 | − | 1.15351i | ||||
\(88\) | −660.729 | + | 334.949i | −0.800386 | + | 0.405746i | ||||
\(89\) | 120.266 | − | 330.429i | 0.143238 | − | 0.393543i | −0.847241 | − | 0.531209i | \(-0.821738\pi\) |
0.990479 | + | 0.137666i | \(0.0439600\pi\) | |||||||
\(90\) | 1201.58 | + | 1045.96i | 1.40730 | + | 1.22504i | ||||
\(91\) | −105.242 | − | 596.857i | −0.121235 | − | 0.687556i | ||||
\(92\) | 201.652 | − | 223.341i | 0.228519 | − | 0.253097i | ||||
\(93\) | −1048.05 | − | 879.419i | −1.16858 | − | 0.980553i | ||||
\(94\) | −759.951 | − | 457.334i | −0.833861 | − | 0.501813i | ||||
\(95\) | −1102.63 | − | 493.200i | −1.19081 | − | 0.532645i | ||||
\(96\) | −615.143 | − | 1331.07i | −0.653988 | − | 1.41512i | ||||
\(97\) | −460.544 | + | 548.855i | −0.482074 | + | 0.574513i | −0.951183 | − | 0.308627i | \(-0.900131\pi\) |
0.469109 | + | 0.883140i | \(0.344575\pi\) | |||||||
\(98\) | 111.069 | − | 569.317i | 0.114487 | − | 0.586834i | ||||
\(99\) | 1245.06 | − | 219.537i | 1.26397 | − | 0.222872i | ||||
\(100\) | −667.692 | + | 215.935i | −0.667692 | + | 0.215935i | ||||
\(101\) | 616.659 | + | 224.445i | 0.607523 | + | 0.221120i | 0.627419 | − | 0.778682i | \(-0.284111\pi\) |
−0.0198959 | + | 0.999802i | \(0.506333\pi\) | |||||||
\(102\) | 2441.20 | + | 44.2852i | 2.36975 | + | 0.0429891i | ||||
\(103\) | −637.228 | + | 1103.71i | −0.609592 | + | 1.05584i | 0.381716 | + | 0.924280i | \(0.375333\pi\) |
−0.991308 | + | 0.131564i | \(0.958000\pi\) | |||||||
\(104\) | −700.831 | − | 934.025i | −0.660790 | − | 0.880660i | ||||
\(105\) | −891.856 | − | 1062.87i | −0.828916 | − | 0.987864i | ||||
\(106\) | −1017.72 | + | 563.218i | −0.932542 | + | 0.516081i | ||||
\(107\) | 7.84900 | + | 13.5949i | 0.00709151 | + | 0.0122828i | 0.869549 | − | 0.493846i | \(-0.164409\pi\) |
−0.862458 | + | 0.506129i | \(0.831076\pi\) | |||||||
\(108\) | 103.755 | + | 745.671i | 0.0924428 | + | 0.664373i | ||||
\(109\) | 364.022 | + | 64.1869i | 0.319881 | + | 0.0564036i | 0.331283 | − | 0.943531i | \(-0.392518\pi\) |
−0.0114025 | + | 0.999935i | \(0.503630\pi\) | |||||||
\(110\) | −484.847 | + | 1260.49i | −0.420258 | + | 1.09257i | ||||
\(111\) | 1054.91 | + | 2898.35i | 0.902054 | + | 2.47837i | ||||
\(112\) | 205.191 | + | 723.064i | 0.173114 | + | 0.610028i | ||||
\(113\) | − | 1079.64i | − | 0.898793i | −0.893333 | − | 0.449396i | \(-0.851639\pi\) | ||
0.893333 | − | 0.449396i | \(-0.148361\pi\) | |||||||
\(114\) | −797.778 | − | 1721.66i | −0.655428 | − | 1.41446i | ||||
\(115\) | − | 548.585i | − | 0.444833i | ||||||
\(116\) | 1807.96 | + | 386.885i | 1.44711 | + | 0.309667i | ||||
\(117\) | 681.614 | + | 1872.72i | 0.538592 | + | 1.47977i | ||||
\(118\) | 1438.66 | + | 553.383i | 1.12237 | + | 0.431721i | ||||
\(119\) | −1232.50 | − | 217.323i | −0.949436 | − | 0.167411i | ||||
\(120\) | −2458.63 | − | 1049.60i | −1.87034 | − | 0.798456i | ||||
\(121\) | −129.607 | − | 224.487i | −0.0973760 | − | 0.168660i | ||||
\(122\) | −438.043 | − | 791.530i | −0.325070 | − | 0.587391i | ||||
\(123\) | −191.022 | − | 227.651i | −0.140031 | − | 0.166883i | ||||
\(124\) | 1252.08 | + | 507.872i | 0.906777 | + | 0.367809i | ||||
\(125\) | 271.879 | − | 470.908i | 0.194541 | − | 0.336954i | ||||
\(126\) | 23.2664 | − | 1282.55i | 0.0164503 | − | 0.906812i | ||||
\(127\) | 1230.15 | + | 447.738i | 0.859513 | + | 0.312837i | 0.733913 | − | 0.679244i | \(-0.237692\pi\) |
0.125600 | + | 0.992081i | \(0.459914\pi\) | |||||||
\(128\) | 982.545 | + | 1063.84i | 0.678481 | + | 0.734618i | ||||
\(129\) | −228.623 | + | 40.3125i | −0.156040 | + | 0.0275141i | ||||
\(130\) | −2089.48 | − | 407.641i | −1.40969 | − | 0.275019i | ||||
\(131\) | 1341.25 | − | 1598.44i | 0.894544 | − | 1.06608i | −0.102905 | − | 0.994691i | \(-0.532814\pi\) |
0.997449 | − | 0.0713850i | \(-0.0227419\pi\) | |||||||
\(132\) | −1874.58 | + | 993.439i | −1.23607 | + | 0.655059i | ||||
\(133\) | 266.480 | + | 935.409i | 0.173735 | + | 0.609852i | ||||
\(134\) | −143.638 | + | 238.684i | −0.0926006 | + | 0.153874i | ||||
\(135\) | 1051.42 | + | 882.248i | 0.670311 | + | 0.562458i | ||||
\(136\) | −2307.40 | + | 700.257i | −1.45484 | + | 0.441519i | ||||
\(137\) | 131.120 | + | 743.616i | 0.0817686 | + | 0.463733i | 0.998007 | + | 0.0630999i | \(0.0200987\pi\) |
−0.916239 | + | 0.400633i | \(0.868790\pi\) | |||||||
\(138\) | 565.825 | − | 650.007i | 0.349031 | − | 0.400958i | ||||
\(139\) | −1050.78 | + | 2887.00i | −0.641195 | + | 1.76167i | 0.00674491 | + | 0.999977i | \(0.497853\pi\) |
−0.647940 | + | 0.761691i | \(0.724369\pi\) | |||||||
\(140\) | 1161.06 | + | 727.727i | 0.700911 | + | 0.439315i | ||||
\(141\) | −2199.86 | − | 1270.09i | −1.31391 | − | 0.758587i | ||||
\(142\) | −273.391 | − | 1733.81i | −0.161566 | − | 1.02464i | ||||
\(143\) | −1294.23 | + | 1085.99i | −0.756845 | + | 0.635068i | ||||
\(144\) | −1077.35 | − | 2224.35i | −0.623465 | − | 1.28724i | ||||
\(145\) | 2919.13 | − | 1685.36i | 1.67186 | − | 0.965251i | ||||
\(146\) | 2249.29 | − | 1818.89i | 1.27502 | − | 1.03104i | ||||
\(147\) | 288.470 | − | 1635.99i | 0.161854 | − | 0.917922i | ||||
\(148\) | −1872.08 | − | 2402.94i | −1.03976 | − | 1.33460i | ||||
\(149\) | 101.722 | − | 37.0239i | 0.0559290 | − | 0.0203565i | −0.313904 | − | 0.949455i | \(-0.601637\pi\) |
0.369833 | + | 0.929098i | \(0.379415\pi\) | |||||||
\(150\) | −1900.70 | + | 653.007i | −1.03461 | + | 0.355452i | ||||
\(151\) | 2935.07 | 1.58181 | 0.790903 | − | 0.611941i | \(-0.209611\pi\) | ||||
0.790903 | + | 0.611941i | \(0.209611\pi\) | |||||||
\(152\) | 1272.86 | + | 1375.37i | 0.679228 | + | 0.733927i | ||||
\(153\) | 4115.31 | 2.17453 | ||||||||
\(154\) | 1028.46 | − | 353.338i | 0.538153 | − | 0.184888i | ||||
\(155\) | 2314.76 | − | 842.504i | 1.19952 | − | 0.436590i | ||||
\(156\) | −2055.33 | − | 2638.15i | −1.05486 | − | 1.35398i | ||||
\(157\) | −92.0804 | + | 522.214i | −0.0468077 | + | 0.265460i | −0.999226 | − | 0.0393339i | \(-0.987476\pi\) |
0.952418 | + | 0.304794i | \(0.0985875\pi\) | |||||||
\(158\) | −1431.97 | + | 1157.96i | −0.721022 | + | 0.583054i | ||||
\(159\) | −2884.95 | + | 1665.63i | −1.43894 | + | 0.830772i | ||||
\(160\) | 2629.29 | + | 239.117i | 1.29915 | + | 0.118149i | ||||
\(161\) | −338.386 | + | 283.939i | −0.165643 | + | 0.138991i | ||||
\(162\) | −123.513 | − | 783.307i | −0.0599020 | − | 0.379891i | ||||
\(163\) | −917.706 | − | 529.838i | −0.440983 | − | 0.254602i | 0.263031 | − | 0.964787i | \(-0.415278\pi\) |
−0.704015 | + | 0.710185i | \(0.748611\pi\) | |||||||
\(164\) | 248.681 | + | 155.868i | 0.118407 | + | 0.0742148i | ||||
\(165\) | −1322.87 | + | 3634.55i | −0.624153 | + | 1.71485i | ||||
\(166\) | −1372.08 | + | 1576.21i | −0.641530 | + | 0.736975i | ||||
\(167\) | 481.871 | + | 2732.83i | 0.223283 | + | 1.26630i | 0.865940 | + | 0.500148i | \(0.166721\pi\) |
−0.642656 | + | 0.766155i | \(0.722168\pi\) | |||||||
\(168\) | 625.120 | + | 2059.82i | 0.287078 | + | 0.945942i | ||||
\(169\) | −357.142 | − | 299.678i | −0.162559 | − | 0.136403i | ||||
\(170\) | −2266.73 | + | 3766.63i | −1.02265 | + | 1.69934i | ||||
\(171\) | −1397.07 | − | 2876.99i | −0.624775 | − | 1.28660i | ||||
\(172\) | 202.582 | − | 107.359i | 0.0898065 | − | 0.0475932i | ||||
\(173\) | −554.593 | + | 660.938i | −0.243728 | + | 0.290464i | −0.874015 | − | 0.485898i | \(-0.838493\pi\) |
0.630287 | + | 0.776362i | \(0.282937\pi\) | |||||||
\(174\) | 5197.13 | + | 1013.92i | 2.26433 | + | 0.441753i | ||||
\(175\) | 1014.50 | − | 178.885i | 0.438225 | − | 0.0772708i | ||||
\(176\) | 1459.60 | − | 1503.19i | 0.625124 | − | 0.643792i | ||||
\(177\) | 4148.32 | + | 1509.87i | 1.76162 | + | 0.641178i | ||||
\(178\) | −18.0394 | + | 994.410i | −0.00759612 | + | 0.418731i | ||||
\(179\) | 108.039 | − | 187.128i | 0.0451128 | − | 0.0781376i | −0.842587 | − | 0.538560i | \(-0.818969\pi\) |
0.887700 | + | 0.460422i | \(0.152302\pi\) | |||||||
\(180\) | −4175.42 | − | 1693.64i | −1.72899 | − | 0.701315i | ||||
\(181\) | −594.801 | − | 708.856i | −0.244261 | − | 0.291099i | 0.629960 | − | 0.776628i | \(-0.283071\pi\) |
−0.874220 | + | 0.485529i | \(0.838627\pi\) | |||||||
\(182\) | 830.037 | + | 1499.85i | 0.338057 | + | 0.610859i | ||||
\(183\) | −1295.44 | − | 2243.77i | −0.523288 | − | 0.906362i | ||||
\(184\) | −334.159 | + | 782.750i | −0.133883 | + | 0.313615i | ||||
\(185\) | −5469.01 | − | 964.334i | −2.17346 | − | 0.383239i | ||||
\(186\) | 3611.69 | + | 1389.24i | 1.42377 | + | 0.547656i | ||||
\(187\) | 1193.23 | + | 3278.38i | 0.466619 | + | 1.28202i | ||||
\(188\) | 2453.13 | + | 524.946i | 0.951666 | + | 0.203647i | ||||
\(189\) | − | 1105.19i | − | 0.425348i | ||||||
\(190\) | 3402.74 | + | 305.965i | 1.29927 | + | 0.116827i | ||||
\(191\) | 942.661i | 0.357113i | 0.983930 | + | 0.178556i | \(0.0571427\pi\) | ||||
−0.983930 | + | 0.178556i | \(0.942857\pi\) | |||||||
\(192\) | 2868.76 | + | 2995.24i | 1.07831 | + | 1.12585i | ||||
\(193\) | −1540.38 | − | 4232.16i | −0.574503 | − | 1.57843i | −0.797310 | − | 0.603570i | \(-0.793744\pi\) |
0.222807 | − | 0.974863i | \(-0.428478\pi\) | |||||||
\(194\) | 727.533 | − | 1891.41i | 0.269246 | − | 0.699976i | ||||
\(195\) | −6004.35 | − | 1058.73i | −2.20503 | − | 0.388806i | ||||
\(196\) | 226.104 | + | 1624.98i | 0.0823994 | + | 0.592192i | ||||
\(197\) | 2085.29 | + | 3611.83i | 0.754167 | + | 1.30626i | 0.945787 | + | 0.324787i | \(0.105293\pi\) |
−0.191620 | + | 0.981469i | \(0.561374\pi\) | |||||||
\(198\) | −3128.72 | + | 1731.48i | −1.12297 | + | 0.621468i | ||||
\(199\) | 147.987 | + | 176.364i | 0.0527161 | + | 0.0628245i | 0.791758 | − | 0.610835i | \(-0.209166\pi\) |
−0.739042 | + | 0.673659i | \(0.764722\pi\) | |||||||
\(200\) | 1587.60 | − | 1191.23i | 0.561303 | − | 0.421165i | ||||
\(201\) | −398.907 | + | 690.926i | −0.139984 | + | 0.242459i | ||||
\(202\) | −1855.81 | − | 33.6658i | −0.646406 | − | 0.0117263i | ||||
\(203\) | −2550.48 | − | 928.299i | −0.881816 | − | 0.320955i | ||||
\(204\) | −6570.80 | + | 2125.03i | −2.25514 | + | 0.729322i | ||||
\(205\) | 526.937 | − | 92.9131i | 0.179526 | − | 0.0316553i | ||||
\(206\) | 690.236 | − | 3538.01i | 0.233452 | − | 1.19662i | ||||
\(207\) | 933.670 | − | 1112.71i | 0.313500 | − | 0.373615i | ||||
\(208\) | 2733.08 | + | 1854.41i | 0.911081 | + | 0.618173i | ||||
\(209\) | 1886.82 | − | 1947.13i | 0.624468 | − | 0.644428i | ||||
\(210\) | 3362.47 | + | 2023.52i | 1.10492 | + | 0.664932i | ||||
\(211\) | −71.9895 | − | 60.4063i | −0.0234880 | − | 0.0197087i | 0.630968 | − | 0.775809i | \(-0.282658\pi\) |
−0.654456 | + | 0.756100i | \(0.727102\pi\) | |||||||
\(212\) | 2204.75 | − | 2441.88i | 0.714259 | − | 0.791081i | ||||
\(213\) | −872.911 | − | 4950.52i | −0.280802 | − | 1.59251i | ||||
\(214\) | −33.4896 | − | 29.1524i | −0.0106977 | − | 0.00931223i | ||||
\(215\) | 142.960 | − | 392.778i | 0.0453477 | − | 0.124592i | ||||
\(216\) | −962.822 | − | 1899.29i | −0.303295 | − | 0.598288i | ||||
\(217\) | −1717.77 | − | 991.754i | −0.537372 | − | 0.310252i | ||||
\(218\) | −1032.73 | + | 162.843i | −0.320851 | + | 0.0505924i | ||||
\(219\) | 6346.30 | − | 5325.18i | 1.95819 | − | 1.64311i | ||||
\(220\) | 138.544 | − | 3817.33i | 0.0424576 | − | 1.16984i | ||||
\(221\) | −4762.70 | + | 2749.75i | −1.44965 | + | 0.836959i | ||||
\(222\) | −5485.48 | − | 6783.50i | −1.65838 | − | 2.05081i | ||||
\(223\) | 972.046 | − | 5512.75i | 0.291897 | − | 1.65543i | −0.387657 | − | 0.921804i | \(-0.626715\pi\) |
0.679554 | − | 0.733626i | \(-0.262174\pi\) | |||||||
\(224\) | −1213.38 | − | 1745.60i | −0.361931 | − | 0.520681i | ||||
\(225\) | −3183.15 | + | 1158.57i | −0.943155 | + | 0.343280i | ||||
\(226\) | 992.198 | + | 2887.98i | 0.292036 | + | 0.850025i | ||||
\(227\) | −6536.88 | −1.91131 | −0.955656 | − | 0.294487i | \(-0.904851\pi\) | ||||
−0.955656 | + | 0.294487i | \(0.904851\pi\) | |||||||
\(228\) | 3716.25 | + | 3872.20i | 1.07945 | + | 1.12475i | ||||
\(229\) | −916.612 | −0.264504 | −0.132252 | − | 0.991216i | \(-0.542221\pi\) | ||||
−0.132252 | + | 0.991216i | \(0.542221\pi\) | |||||||
\(230\) | 504.156 | + | 1467.44i | 0.144535 | + | 0.420697i | ||||
\(231\) | 2926.61 | − | 1065.20i | 0.833579 | − | 0.303398i | ||||
\(232\) | −5191.76 | + | 626.633i | −1.46921 | + | 0.177330i | ||||
\(233\) | 856.300 | − | 4856.32i | 0.240764 | − | 1.36544i | −0.589363 | − | 0.807868i | \(-0.700621\pi\) |
0.830128 | − | 0.557574i | \(-0.188268\pi\) | |||||||
\(234\) | −3544.34 | − | 4383.04i | −0.990175 | − | 1.22448i | ||||
\(235\) | 3960.83 | − | 2286.79i | 1.09947 | − | 0.634781i | ||||
\(236\) | −4356.93 | − | 158.129i | −1.20175 | − | 0.0436156i | ||||
\(237\) | −4040.26 | + | 3390.18i | −1.10735 | + | 0.929181i | ||||
\(238\) | 3496.61 | − | 551.351i | 0.952316 | − | 0.150163i | ||||
\(239\) | −456.109 | − | 263.335i | −0.123444 | − | 0.0712707i | 0.437006 | − | 0.899458i | \(-0.356039\pi\) |
−0.560451 | + | 0.828188i | \(0.689372\pi\) | |||||||
\(240\) | 7541.32 | + | 548.124i | 2.02829 | + | 0.147422i | ||||
\(241\) | −488.559 | + | 1342.30i | −0.130584 | + | 0.358778i | −0.987703 | − | 0.156341i | \(-0.950030\pi\) |
0.857119 | + | 0.515119i | \(0.172252\pi\) | |||||||
\(242\) | 553.001 | + | 481.382i | 0.146894 | + | 0.127870i | ||||
\(243\) | −835.587 | − | 4738.85i | −0.220588 | − | 1.25102i | ||||
\(244\) | 1899.17 | + | 1714.74i | 0.498287 | + | 0.449898i | ||||
\(245\) | 2291.27 | + | 1922.60i | 0.597485 | + | 0.501350i | ||||
\(246\) | 720.189 | + | 433.405i | 0.186657 | + | 0.112329i | ||||
\(247\) | 3539.17 | + | 2396.09i | 0.911709 | + | 0.617245i | ||||
\(248\) | −3816.01 | − | 207.859i | −0.977085 | − | 0.0532220i | ||||
\(249\) | −3847.04 | + | 4584.72i | −0.979101 | + | 1.16685i | ||||
\(250\) | −294.495 | + | 1509.52i | −0.0745020 | + | 0.381882i | ||||
\(251\) | −1994.04 | + | 351.602i | −0.501444 | + | 0.0884181i | −0.418648 | − | 0.908148i | \(-0.637496\pi\) |
−0.0827958 | + | 0.996567i | \(0.526385\pi\) | |||||||
\(252\) | 1116.44 | + | 3452.14i | 0.279083 | + | 0.862955i | ||||
\(253\) | 1157.13 | + | 421.161i | 0.287542 | + | 0.104657i | ||||
\(254\) | −3702.08 | − | 67.1587i | −0.914524 | − | 0.0165902i | ||||
\(255\) | −6295.07 | + | 10903.4i | −1.54593 | + | 2.67763i | ||||
\(256\) | −3605.95 | − | 1942.76i | −0.880360 | − | 0.474307i | ||||
\(257\) | 3225.67 | + | 3844.21i | 0.782926 | + | 0.933054i | 0.999062 | − | 0.0433089i | \(-0.0137900\pi\) |
−0.216136 | + | 0.976363i | \(0.569346\pi\) | |||||||
\(258\) | 574.511 | − | 317.942i | 0.138634 | − | 0.0767217i | ||||
\(259\) | 2235.84 | + | 3872.59i | 0.536404 | + | 0.929078i | ||||
\(260\) | 5963.91 | − | 829.836i | 1.42256 | − | 0.197939i | ||||
\(261\) | 8789.33 | + | 1549.80i | 2.08447 | + | 0.367548i | ||||
\(262\) | −2118.80 | + | 5508.38i | −0.499618 | + | 1.29889i | ||||
\(263\) | 61.7945 | + | 169.779i | 0.0144883 | + | 0.0398062i | 0.946726 | − | 0.322040i | \(-0.104369\pi\) |
−0.932238 | + | 0.361847i | \(0.882146\pi\) | |||||||
\(264\) | 4101.45 | − | 4380.17i | 0.956163 | − | 1.02114i | ||||
\(265\) | − | 5997.91i | − | 1.39037i | ||||||
\(266\) | −1572.48 | − | 2257.28i | −0.362461 | − | 0.520312i | ||||
\(267\) | 2848.40i | 0.652882i | ||||||||
\(268\) | 164.874 | − | 770.475i | 0.0375794 | − | 0.175613i | ||||
\(269\) | −1310.44 | − | 3600.40i | −0.297021 | − | 0.816060i | −0.994994 | − | 0.0999352i | \(-0.968136\pi\) |
0.697972 | − | 0.716125i | \(-0.254086\pi\) | |||||||
\(270\) | −3623.31 | − | 1393.71i | −0.816695 | − | 0.314142i | ||||
\(271\) | −986.505 | − | 173.948i | −0.221129 | − | 0.0389910i | 0.0619859 | − | 0.998077i | \(-0.480257\pi\) |
−0.283115 | + | 0.959086i | \(0.591368\pi\) | |||||||
\(272\) | 5528.66 | − | 3993.69i | 1.23244 | − | 0.890268i | ||||
\(273\) | 2454.70 | + | 4251.67i | 0.544195 | + | 0.942573i | ||||
\(274\) | −1034.13 | − | 1868.64i | −0.228008 | − | 0.412003i | ||||
\(275\) | −1845.90 | − | 2199.86i | −0.404771 | − | 0.482387i | ||||
\(276\) | −916.196 | + | 2258.74i | −0.199813 | + | 0.492610i | ||||
\(277\) | −616.578 | + | 1067.94i | −0.133742 | + | 0.231648i | −0.925116 | − | 0.379684i | \(-0.876033\pi\) |
0.791374 | + | 0.611332i | \(0.209366\pi\) | |||||||
\(278\) | 157.612 | − | 8688.29i | 0.0340035 | − | 1.87442i | ||||
\(279\) | 6128.98 | + | 2230.77i | 1.31517 | + | 0.478683i | ||||
\(280\) | −3774.58 | − | 879.612i | −0.805623 | − | 0.187739i | ||||
\(281\) | −1779.56 | + | 313.785i | −0.377793 | + | 0.0666151i | −0.359320 | − | 0.933214i | \(-0.616991\pi\) |
−0.0184727 | + | 0.999829i | \(0.505880\pi\) | |||||||
\(282\) | 7051.76 | + | 1375.74i | 1.48910 | + | 0.290511i | ||||
\(283\) | 1997.64 | − | 2380.69i | 0.419601 | − | 0.500061i | −0.514291 | − | 0.857616i | \(-0.671945\pi\) |
0.933892 | + | 0.357555i | \(0.116389\pi\) | |||||||
\(284\) | 2324.70 | + | 4386.63i | 0.485725 | + | 0.916544i | ||||
\(285\) | 9759.55 | + | 699.365i | 2.02844 | + | 0.145357i | ||||
\(286\) | 2463.98 | − | 4094.38i | 0.509433 | − | 0.846525i | ||||
\(287\) | −330.046 | − | 276.942i | −0.0678816 | − | 0.0569594i | ||||
\(288\) | 4926.06 | + | 4959.95i | 1.00789 | + | 1.01482i | ||||
\(289\) | 1118.87 | + | 6345.45i | 0.227738 | + | 1.29156i | ||||
\(290\) | −6259.68 | + | 7190.98i | −1.26752 | + | 1.45610i | ||||
\(291\) | 1985.02 | − | 5453.80i | 0.399876 | − | 1.09865i | ||||
\(292\) | −4345.18 | + | 6932.58i | −0.870830 | + | 1.38938i | ||||
\(293\) | −7291.43 | − | 4209.71i | −1.45382 | − | 0.839365i | −0.455127 | − | 0.890426i | \(-0.650406\pi\) |
−0.998696 | + | 0.0510612i | \(0.983740\pi\) | |||||||
\(294\) | 731.853 | + | 4641.33i | 0.145179 | + | 0.920707i | ||||
\(295\) | −6088.81 | + | 5109.12i | −1.20171 | + | 1.00835i | ||||
\(296\) | 7216.07 | + | 4707.30i | 1.41698 | + | 0.924345i | ||||
\(297\) | −2668.12 | + | 1540.44i | −0.521280 | + | 0.300961i | ||||
\(298\) | −238.078 | + | 192.522i | −0.0462801 | + | 0.0374244i | ||||
\(299\) | −337.067 | + | 1911.60i | −0.0651942 | + | 0.369735i | ||||
\(300\) | 4484.18 | − | 3493.54i | 0.862982 | − | 0.672332i | ||||
\(301\) | −316.272 | + | 115.114i | −0.0605635 | + | 0.0220433i | ||||
\(302\) | −7851.20 | + | 2697.37i | −1.49598 | + | 0.513960i | ||||
\(303\) | −5315.80 | −1.00787 | ||||||||
\(304\) | −4668.83 | − | 2509.27i | −0.880842 | − | 0.473410i | ||||
\(305\) | 4664.87 | 0.875770 | ||||||||
\(306\) | −11008.3 | + | 3782.02i | −2.05655 | + | 0.706549i | ||||
\(307\) | −5840.57 | + | 2125.79i | −1.08579 | + | 0.395197i | −0.822061 | − | 0.569399i | \(-0.807176\pi\) |
−0.263733 | + | 0.964596i | \(0.584954\pi\) | |||||||
\(308\) | −2426.36 | + | 1890.33i | −0.448880 | + | 0.349713i | ||||
\(309\) | 1792.69 | − | 10166.8i | 0.330040 | − | 1.87175i | ||||
\(310\) | −5417.62 | + | 4380.96i | −0.992581 | + | 0.802650i | ||||
\(311\) | 3157.81 | − | 1823.16i | 0.575765 | − | 0.332418i | −0.183684 | − | 0.982985i | \(-0.558802\pi\) |
0.759448 | + | 0.650568i | \(0.225469\pi\) | |||||||
\(312\) | 7922.42 | + | 5168.08i | 1.43756 | + | 0.937772i | ||||
\(313\) | 6630.35 | − | 5563.52i | 1.19735 | − | 1.00469i | 0.197644 | − | 0.980274i | \(-0.436671\pi\) |
0.999702 | − | 0.0244189i | \(-0.00777354\pi\) | |||||||
\(314\) | −233.609 | − | 1481.52i | −0.0419852 | − | 0.266265i | ||||
\(315\) | 5728.38 | + | 3307.28i | 1.02463 | + | 0.591569i | ||||
\(316\) | 2766.28 | − | 4413.50i | 0.492455 | − | 0.785693i | ||||
\(317\) | 290.670 | − | 798.611i | 0.0515006 | − | 0.141497i | −0.911275 | − | 0.411798i | \(-0.864901\pi\) |
0.962776 | + | 0.270301i | \(0.0871232\pi\) | |||||||
\(318\) | 6186.40 | − | 7106.79i | 1.09093 | − | 1.25324i | ||||
\(319\) | 1313.85 | + | 7451.19i | 0.230600 | + | 1.30780i | ||||
\(320\) | −7252.99 | + | 1776.72i | −1.26705 | + | 0.310380i | ||||
\(321\) | −97.4110 | − | 81.7375i | −0.0169375 | − | 0.0142123i | ||||
\(322\) | 644.224 | − | 1070.51i | 0.111494 | − | 0.185270i | ||||
\(323\) | 7149.08 | − | 5175.30i | 1.23153 | − | 0.891522i | ||||
\(324\) | 1050.26 | + | 1981.81i | 0.180086 | + | 0.339816i | ||||
\(325\) | 2909.76 | − | 3467.72i | 0.496630 | − | 0.591860i | ||||
\(326\) | 2941.76 | + | 573.912i | 0.499781 | + | 0.0975033i | ||||
\(327\) | −2948.75 | + | 519.944i | −0.498673 | + | 0.0879295i | ||||
\(328\) | −808.457 | − | 188.399i | −0.136096 | − | 0.0317152i | ||||
\(329\) | −3460.63 | − | 1259.57i | −0.579911 | − | 0.211070i | ||||
\(330\) | 198.425 | − | 10938.0i | 0.0330997 | − | 1.82460i | ||||
\(331\) | −2637.94 | + | 4569.05i | −0.438049 | + | 0.758723i | −0.997539 | − | 0.0701138i | \(-0.977664\pi\) |
0.559490 | + | 0.828837i | \(0.310997\pi\) | |||||||
\(332\) | 2221.70 | − | 5477.27i | 0.367264 | − | 0.905434i | ||||
\(333\) | −9451.64 | − | 11264.0i | −1.55540 | − | 1.85365i | ||||
\(334\) | −3800.49 | − | 6867.36i | −0.622615 | − | 1.12505i | ||||
\(335\) | −718.229 | − | 1244.01i | −0.117137 | − | 0.202888i | ||||
\(336\) | −3565.17 | − | 4935.44i | −0.578857 | − | 0.801340i | ||||
\(337\) | 4815.66 | + | 849.130i | 0.778414 | + | 0.137255i | 0.548719 | − | 0.836007i | \(-0.315116\pi\) |
0.229695 | + | 0.973263i | \(0.426227\pi\) | |||||||
\(338\) | 1230.75 | + | 473.409i | 0.198059 | + | 0.0761835i | ||||
\(339\) | 2991.15 | + | 8218.12i | 0.479224 | + | 1.31666i | ||||
\(340\) | 2601.85 | − | 12158.7i | 0.415015 | − | 1.93941i | ||||
\(341\) | 5529.33i | 0.878093i | ||||||||
\(342\) | 6381.10 | + | 6411.92i | 1.00892 | + | 1.01379i | ||||
\(343\) | − | 6436.63i | − | 1.01325i | ||||||
\(344\) | −443.235 | + | 473.356i | −0.0694698 | + | 0.0741908i | ||||
\(345\) | 1519.87 | + | 4175.80i | 0.237179 | + | 0.651645i | ||||
\(346\) | 876.104 | − | 2277.66i | 0.136126 | − | 0.353896i | ||||
\(347\) | 2366.12 | + | 417.211i | 0.366052 | + | 0.0645448i | 0.353649 | − | 0.935378i | \(-0.384941\pi\) |
0.0124029 | + | 0.999923i | \(0.496052\pi\) | |||||||
\(348\) | −14833.9 | + | 2064.04i | −2.28501 | + | 0.317943i | ||||
\(349\) | −2079.57 | − | 3601.93i | −0.318960 | − | 0.552455i | 0.661311 | − | 0.750111i | \(-0.270000\pi\) |
−0.980271 | + | 0.197657i | \(0.936667\pi\) | |||||||
\(350\) | −2549.36 | + | 1410.85i | −0.389340 | + | 0.215466i | ||||
\(351\) | −3121.71 | − | 3720.31i | −0.474713 | − | 0.565741i | ||||
\(352\) | −2522.93 | + | 5362.38i | −0.382024 | + | 0.811976i | ||||
\(353\) | −3397.45 | + | 5884.56i | −0.512261 | + | 0.887262i | 0.487638 | + | 0.873046i | \(0.337859\pi\) |
−0.999899 | + | 0.0142160i | \(0.995475\pi\) | |||||||
\(354\) | −12484.2 | − | 226.473i | −1.87437 | − | 0.0340026i | ||||
\(355\) | 8505.06 | + | 3095.59i | 1.27155 | + | 0.462808i | ||||
\(356\) | −865.620 | − | 2676.59i | −0.128870 | − | 0.398480i | ||||
\(357\) | 9983.80 | − | 1760.41i | 1.48011 | − | 0.260983i | ||||
\(358\) | −117.026 | + | 599.850i | −0.0172766 | + | 0.0885560i | ||||
\(359\) | −3239.06 | + | 3860.16i | −0.476187 | + | 0.567497i | −0.949649 | − | 0.313317i | \(-0.898560\pi\) |
0.473462 | + | 0.880814i | \(0.343004\pi\) | |||||||
\(360\) | 12725.6 | + | 693.164i | 1.86305 | + | 0.101480i | ||||
\(361\) | −6045.00 | − | 3240.97i | −0.881323 | − | 0.472513i | ||||
\(362\) | 2242.52 | + | 1349.53i | 0.325591 | + | 0.195939i | ||||
\(363\) | 1608.51 | + | 1349.70i | 0.232575 | + | 0.195154i | ||||
\(364\) | −3598.70 | − | 3249.23i | −0.518195 | − | 0.467873i | ||||
\(365\) | 2590.17 | + | 14689.6i | 0.371441 | + | 2.10654i | ||||
\(366\) | 5527.31 | + | 4811.47i | 0.789391 | + | 0.687157i | ||||
\(367\) | 3673.23 | − | 10092.1i | 0.522456 | − | 1.43544i | −0.345323 | − | 0.938484i | \(-0.612231\pi\) |
0.867778 | − | 0.496951i | \(-0.165547\pi\) | |||||||
\(368\) | 174.506 | − | 2400.92i | 0.0247194 | − | 0.340100i | ||||
\(369\) | 1226.93 | + | 708.368i | 0.173093 | + | 0.0999354i | ||||
\(370\) | 15515.6 | − | 2446.53i | 2.18005 | − | 0.343755i | ||||
\(371\) | −3699.71 | + | 3104.42i | −0.517734 | + | 0.434430i | ||||
\(372\) | −10937.9 | − | 396.974i | −1.52447 | − | 0.0553283i | ||||
\(373\) | 2502.23 | − | 1444.66i | 0.347347 | − | 0.200541i | −0.316169 | − | 0.948703i | \(-0.602397\pi\) |
0.663516 | + | 0.748162i | \(0.269063\pi\) | |||||||
\(374\) | −6204.72 | − | 7672.94i | −0.857856 | − | 1.06085i | ||||
\(375\) | −764.866 | + | 4337.77i | −0.105327 | + | 0.597337i | ||||
\(376\) | −7044.47 | + | 850.250i | −0.966199 | + | 0.116618i | ||||
\(377\) | −11207.5 | + | 4079.20i | −1.53108 | + | 0.557267i | ||||
\(378\) | 1015.68 | + | 2956.34i | 0.138204 | + | 0.402269i | ||||
\(379\) | 4731.78 | 0.641306 | 0.320653 | − | 0.947197i | \(-0.396098\pi\) | ||||
0.320653 | + | 0.947197i | \(0.396098\pi\) | |||||||
\(380\) | −9383.38 | + | 2308.71i | −1.26673 | + | 0.311670i | ||||
\(381\) | −10604.3 | −1.42592 | ||||||||
\(382\) | −866.317 | − | 2521.58i | −0.116033 | − | 0.337737i | ||||
\(383\) | −1772.93 | + | 645.295i | −0.236535 | + | 0.0860915i | −0.457568 | − | 0.889175i | \(-0.651279\pi\) |
0.221033 | + | 0.975266i | \(0.429057\pi\) | |||||||
\(384\) | −10426.5 | − | 5375.73i | −1.38561 | − | 0.714399i | ||||
\(385\) | −973.736 | + | 5522.33i | −0.128899 | + | 0.731024i | ||||
\(386\) | 8009.86 | + | 9905.23i | 1.05620 | + | 1.30612i | ||||
\(387\) | 958.460 | − | 553.367i | 0.125895 | − | 0.0726854i | ||||
\(388\) | −207.892 | + | 5728.06i | −0.0272013 | + | 0.749480i | ||||
\(389\) | 505.496 | − | 424.161i | 0.0658860 | − | 0.0552849i | −0.609250 | − | 0.792978i | \(-0.708529\pi\) |
0.675136 | + | 0.737693i | \(0.264085\pi\) | |||||||
\(390\) | 17034.4 | − | 2686.01i | 2.21172 | − | 0.348748i | ||||
\(391\) | 3471.30 | + | 2004.16i | 0.448980 | + | 0.259219i | ||||
\(392\) | −2098.19 | − | 4138.95i | −0.270344 | − | 0.533288i | ||||
\(393\) | −5781.00 | + | 15883.2i | −0.742017 | + | 2.03867i | ||||
\(394\) | −8897.40 | − | 7745.10i | −1.13768 | − | 0.990337i | ||||
\(395\) | −1648.99 | − | 9351.88i | −0.210050 | − | 1.19125i | ||||
\(396\) | 6777.96 | − | 7506.96i | 0.860114 | − | 0.952624i | ||||
\(397\) | 34.3737 | + | 28.8430i | 0.00434551 | + | 0.00364632i | 0.644958 | − | 0.764218i | \(-0.276875\pi\) |
−0.640612 | + | 0.767865i | \(0.721319\pi\) | |||||||
\(398\) | −557.939 | − | 335.764i | −0.0702687 | − | 0.0422873i | ||||
\(399\) | −4620.00 | − | 6381.99i | −0.579672 | − | 0.800750i | ||||
\(400\) | −3152.02 | + | 4645.53i | −0.394002 | + | 0.580692i | ||||
\(401\) | 6334.05 | − | 7548.63i | 0.788796 | − | 0.940051i | −0.210499 | − | 0.977594i | \(-0.567509\pi\) |
0.999295 | + | 0.0375433i | \(0.0119532\pi\) | |||||||
\(402\) | 432.090 | − | 2214.80i | 0.0536086 | − | 0.274787i | ||||
\(403\) | −8583.67 | + | 1513.53i | −1.06100 | + | 0.187083i | ||||
\(404\) | 4995.15 | − | 1615.45i | 0.615144 | − | 0.198940i | ||||
\(405\) | 3842.44 | + | 1398.54i | 0.471438 | + | 0.171590i | ||||
\(406\) | 7675.55 | + | 139.241i | 0.938254 | + | 0.0170207i | ||||
\(407\) | 6232.75 | − | 10795.4i | 0.759081 | − | 1.31477i | ||||
\(408\) | 15623.7 | − | 11723.0i | 1.89581 | − | 1.42249i | ||||
\(409\) | 951.582 | + | 1134.05i | 0.115043 | + | 0.137103i | 0.820493 | − | 0.571657i | \(-0.193699\pi\) |
−0.705449 | + | 0.708760i | \(0.749255\pi\) | |||||||
\(410\) | −1324.15 | + | 732.800i | −0.159500 | + | 0.0882693i | ||||
\(411\) | −3058.28 | − | 5297.09i | −0.367041 | − | 0.635733i | ||||
\(412\) | 1405.12 | + | 10098.4i | 0.168022 | + | 1.20755i | ||||
\(413\) | 6302.95 | + | 1111.38i | 0.750963 | + | 0.132415i | ||||
\(414\) | −1474.94 | + | 3834.50i | −0.175095 | + | 0.455206i | ||||
\(415\) | −3685.55 | − | 10126.0i | −0.435944 | − | 1.19775i | ||||
\(416\) | −9015.10 | − | 2448.74i | −1.06250 | − | 0.288604i | ||||
\(417\) | − | 24886.9i | − | 2.92258i | ||||||
\(418\) | −3257.73 | + | 6942.49i | −0.381198 | + | 0.812365i | ||||
\(419\) | 939.736i | 0.109568i | 0.998498 | + | 0.0547841i | \(0.0174471\pi\) | ||||
−0.998498 | + | 0.0547841i | \(0.982553\pi\) | |||||||
\(420\) | −10854.1 | − | 2322.67i | −1.26102 | − | 0.269845i | ||||
\(421\) | 2622.69 | + | 7205.77i | 0.303615 | + | 0.834175i | 0.993865 | + | 0.110604i | \(0.0352785\pi\) |
−0.690250 | + | 0.723571i | \(0.742499\pi\) | |||||||
\(422\) | 248.083 | + | 95.4254i | 0.0286173 | + | 0.0110077i | ||||
\(423\) | 11925.9 | + | 2102.85i | 1.37081 | + | 0.241712i | ||||
\(424\) | −3653.50 | + | 8558.13i | −0.418466 | + | 0.980235i | ||||
\(425\) | −4673.86 | − | 8095.37i | −0.533449 | − | 0.923960i | ||||
\(426\) | 6884.60 | + | 12440.2i | 0.783004 | + | 1.41486i | ||||
\(427\) | −2414.47 | − | 2877.45i | −0.273640 | − | 0.326111i | ||||
\(428\) | 116.375 | + | 47.2042i | 0.0131430 | + | 0.00533107i | ||||
\(429\) | 6842.85 | − | 11852.2i | 0.770107 | − | 1.33386i | ||||
\(430\) | −21.4433 | + | 1182.05i | −0.00240485 | + | 0.132566i | ||||
\(431\) | 1447.02 | + | 526.674i | 0.161719 | + | 0.0588607i | 0.421611 | − | 0.906777i | \(-0.361465\pi\) |
−0.259892 | + | 0.965638i | \(0.583687\pi\) | |||||||
\(432\) | 4320.98 | + | 4195.68i | 0.481234 | + | 0.467280i | ||||
\(433\) | −7907.30 | + | 1394.27i | −0.877600 | + | 0.154744i | −0.594258 | − | 0.804275i | \(-0.702554\pi\) |
−0.283342 | + | 0.959019i | \(0.591443\pi\) | |||||||
\(434\) | 5506.40 | + | 1074.25i | 0.609022 | + | 0.118815i | ||||
\(435\) | −17550.9 | + | 20916.4i | −1.93449 | + | 2.30543i | ||||
\(436\) | 2612.87 | − | 1384.69i | 0.287004 | − | 0.152098i | ||||
\(437\) | 222.656 | − | 3107.14i | 0.0243732 | − | 0.340125i | ||||
\(438\) | −12082.2 | + | 20077.0i | −1.31806 | + | 2.19022i | ||||
\(439\) | 2098.68 | + | 1761.00i | 0.228165 | + | 0.191453i | 0.749702 | − | 0.661776i | \(-0.230197\pi\) |
−0.521537 | + | 0.853228i | \(0.674641\pi\) | |||||||
\(440\) | 3137.57 | + | 10338.5i | 0.339950 | + | 1.12016i | ||||
\(441\) | 1375.23 | + | 7799.31i | 0.148497 | + | 0.842167i | ||||
\(442\) | 10213.0 | − | 11732.4i | 1.09905 | − | 1.26257i | ||||
\(443\) | 4691.95 | − | 12891.0i | 0.503208 | − | 1.38255i | −0.384917 | − | 0.922951i | \(-0.625770\pi\) |
0.888125 | − | 0.459602i | \(-0.152008\pi\) | |||||||
\(444\) | 20907.6 | + | 13104.4i | 2.23475 | + | 1.40069i | ||||
\(445\) | −4441.44 | − | 2564.27i | −0.473134 | − | 0.273164i | ||||
\(446\) | 2466.10 | + | 15639.7i | 0.261823 | + | 1.66045i | ||||
\(447\) | −671.729 | + | 563.648i | −0.0710776 | + | 0.0596412i | ||||
\(448\) | 4849.98 | + | 3554.28i | 0.511473 | + | 0.374831i | ||||
\(449\) | 2731.78 | − | 1577.19i | 0.287128 | − | 0.165774i | −0.349518 | − | 0.936930i | \(-0.613655\pi\) |
0.636646 | + | 0.771156i | \(0.280321\pi\) | |||||||
\(450\) | 7450.05 | − | 6024.48i | 0.780442 | − | 0.631104i | ||||
\(451\) | −208.559 | + | 1182.80i | −0.0217753 | + | 0.123494i | ||||
\(452\) | −5308.18 | − | 6813.40i | −0.552380 | − | 0.709016i | ||||
\(453\) | −22341.6 | + | 8131.68i | −2.31722 | + | 0.843399i | ||||
\(454\) | 17485.9 | − | 6007.47i | 1.80761 | − | 0.621023i | ||||
\(455\) | −8839.35 | −0.910759 | ||||||||
\(456\) | −13499.4 | − | 6942.72i | −1.38634 | − | 0.712988i | ||||
\(457\) | 6731.40 | 0.689019 | 0.344510 | − | 0.938783i | \(-0.388045\pi\) | ||||
0.344510 | + | 0.938783i | \(0.388045\pi\) | |||||||
\(458\) | 2451.90 | − | 842.378i | 0.250152 | − | 0.0859426i | ||||
\(459\) | −9423.81 | + | 3429.99i | −0.958313 | + | 0.348797i | ||||
\(460\) | −2697.20 | − | 3462.03i | −0.273386 | − | 0.350909i | ||||
\(461\) | 1197.37 | − | 6790.65i | 0.120970 | − | 0.686057i | −0.862650 | − | 0.505802i | \(-0.831197\pi\) |
0.983620 | − | 0.180255i | \(-0.0576922\pi\) | |||||||
\(462\) | −6849.64 | + | 5538.96i | −0.689771 | + | 0.557783i | ||||
\(463\) | −4185.19 | + | 2416.32i | −0.420091 | + | 0.242540i | −0.695116 | − | 0.718897i | \(-0.744647\pi\) |
0.275025 | + | 0.961437i | \(0.411314\pi\) | |||||||
\(464\) | 13311.9 | − | 6447.51i | 1.33187 | − | 0.645083i | ||||
\(465\) | −15285.6 | + | 12826.2i | −1.52442 | + | 1.27914i | ||||
\(466\) | 2172.45 | + | 13777.4i | 0.215958 | + | 1.36958i | ||||
\(467\) | 2409.77 | + | 1391.28i | 0.238781 | + | 0.137860i | 0.614617 | − | 0.788826i | \(-0.289311\pi\) |
−0.375835 | + | 0.926687i | \(0.622644\pi\) | |||||||
\(468\) | 13509.1 | + | 8467.17i | 1.33431 | + | 0.836314i | ||||
\(469\) | −395.602 | + | 1086.91i | −0.0389493 | + | 0.107012i | ||||
\(470\) | −8493.49 | + | 9757.12i | −0.833564 | + | 0.957580i | ||||
\(471\) | −745.894 | − | 4230.17i | −0.0729702 | − | 0.413835i | ||||
\(472\) | 11799.9 | − | 3581.09i | 1.15071 | − | 0.349222i | ||||
\(473\) | 718.733 | + | 603.088i | 0.0698676 | + | 0.0586259i | ||||
\(474\) | 7691.92 | − | 12781.7i | 0.745362 | − | 1.23857i | ||||
\(475\) | −4072.74 | + | 6015.69i | −0.393411 | + | 0.581092i | ||||
\(476\) | −8846.59 | + | 4688.27i | −0.851854 | + | 0.451442i | ||||
\(477\) | 10208.2 | − | 12165.7i | 0.979877 | − | 1.16777i | ||||
\(478\) | 1462.08 | + | 285.240i | 0.139904 | + | 0.0272941i | ||||
\(479\) | 5632.43 | − | 993.149i | 0.537270 | − | 0.0947351i | 0.101572 | − | 0.994828i | \(-0.467613\pi\) |
0.435698 | + | 0.900093i | \(0.356502\pi\) | |||||||
\(480\) | −20676.5 | + | 5464.35i | −1.96614 | + | 0.519609i | ||||
\(481\) | 18464.8 | + | 6720.64i | 1.75036 | + | 0.637079i | ||||
\(482\) | 73.2816 | − | 4039.60i | 0.00692507 | − | 0.381740i | ||||
\(483\) | 1789.11 | − | 3098.83i | 0.168545 | − | 0.291929i | ||||
\(484\) | −1921.65 | − | 779.464i | −0.180471 | − | 0.0732029i | ||||
\(485\) | 6716.96 | + | 8004.96i | 0.628869 | + | 0.749457i | ||||
\(486\) | 6590.22 | + | 11908.3i | 0.615100 | + | 1.11147i | ||||
\(487\) | −2854.16 | − | 4943.55i | −0.265573 | − | 0.459987i | 0.702140 | − | 0.712039i | \(-0.252228\pi\) |
−0.967714 | + | 0.252052i | \(0.918895\pi\) | |||||||
\(488\) | −6656.09 | − | 2841.51i | −0.617432 | − | 0.263584i | ||||
\(489\) | 8453.45 | + | 1490.57i | 0.781755 | + | 0.137845i | ||||
\(490\) | −7895.96 | − | 3037.19i | −0.727965 | − | 0.280012i | ||||
\(491\) | 2260.87 | + | 6211.70i | 0.207804 | + | 0.570937i | 0.999184 | − | 0.0403876i | \(-0.0128593\pi\) |
−0.791380 | + | 0.611324i | \(0.790637\pi\) | |||||||
\(492\) | −2324.78 | − | 497.480i | −0.213027 | − | 0.0455856i | ||||
\(493\) | 24628.6i | 2.24993i | ||||||||
\(494\) | −11669.2 | − | 3156.91i | −1.06280 | − | 0.287522i | ||||
\(495\) | − | 18439.1i | − | 1.67429i | ||||||
\(496\) | 10398.7 | − | 2950.95i | 0.941363 | − | 0.267140i | ||||
\(497\) | −2492.63 | − | 6848.43i | −0.224969 | − | 0.618097i | ||||
\(498\) | 6077.26 | − | 15799.4i | 0.546845 | − | 1.42167i | ||||
\(499\) | −5819.06 | − | 1026.06i | −0.522038 | − | 0.0920494i | −0.0935812 | − | 0.995612i | \(-0.529831\pi\) |
−0.428457 | + | 0.903562i | \(0.640943\pi\) | |||||||
\(500\) | −599.505 | − | 4308.55i | −0.0536213 | − | 0.385368i | ||||
\(501\) | −11239.3 | − | 19467.1i | −1.00227 | − | 1.73598i | ||||
\(502\) | 5010.84 | − | 2773.07i | 0.445508 | − | 0.246550i | ||||
\(503\) | 4720.62 | + | 5625.82i | 0.418453 | + | 0.498693i | 0.933554 | − | 0.358436i | \(-0.116690\pi\) |
−0.515101 | + | 0.857130i | \(0.672246\pi\) | |||||||
\(504\) | −6158.99 | − | 8208.33i | −0.544332 | − | 0.725452i | ||||
\(505\) | 4785.54 | − | 8288.80i | 0.421691 | − | 0.730389i | ||||
\(506\) | −3482.33 | − | 63.1722i | −0.305945 | − | 0.00555009i | ||||
\(507\) | 3548.81 | + | 1291.66i | 0.310864 | + | 0.113145i | ||||
\(508\) | 9964.64 | − | 3222.61i | 0.870294 | − | 0.281457i | ||||
\(509\) | −633.425 | + | 111.690i | −0.0551592 | + | 0.00972606i | −0.201160 | − | 0.979558i | \(-0.564471\pi\) |
0.146000 | + | 0.989285i | \(0.453360\pi\) | |||||||
\(510\) | 6818.73 | − | 34951.4i | 0.592036 | − | 3.03465i | ||||
\(511\) | 7720.40 | − | 9200.81i | 0.668357 | − | 0.796517i | ||||
\(512\) | 11431.2 | + | 1882.89i | 0.986704 | + | 0.162525i | ||||
\(513\) | 5597.08 | + | 5423.72i | 0.481710 | + | 0.466790i | ||||
\(514\) | −12161.4 | − | 7318.67i | −1.04361 | − | 0.628040i | ||||
\(515\) | 14239.0 | + | 11948.0i | 1.21834 | + | 1.02231i | ||||
\(516\) | −1244.60 | + | 1378.47i | −0.106183 | + | 0.117604i | ||||
\(517\) | 1782.70 | + | 10110.2i | 0.151650 | + | 0.860050i | ||||
\(518\) | −9539.75 | − | 8304.27i | −0.809175 | − | 0.704380i | ||||
\(519\) | 2390.39 | − | 6567.54i | 0.202170 | − | 0.555458i | ||||
\(520\) | −15190.6 | + | 7700.68i | −1.28106 | + | 0.649418i | ||||
\(521\) | 7161.13 | + | 4134.48i | 0.602178 | + | 0.347668i | 0.769898 | − | 0.638167i | \(-0.220307\pi\) |
−0.167720 | + | 0.985835i | \(0.553640\pi\) | |||||||
\(522\) | −24935.4 | + | 3931.86i | −2.09079 | + | 0.329680i | ||||
\(523\) | −5195.71 | + | 4359.72i | −0.434402 | + | 0.364507i | −0.833610 | − | 0.552354i | \(-0.813730\pi\) |
0.399207 | + | 0.916861i | \(0.369285\pi\) | |||||||
\(524\) | 605.445 | − | 16681.9i | 0.0504752 | − | 1.39075i | ||||
\(525\) | −7226.75 | + | 4172.36i | −0.600764 | + | 0.346851i | ||||
\(526\) | −321.327 | − | 397.362i | −0.0266360 | − | 0.0329388i | ||||
\(527\) | −3125.42 | + | 17725.1i | −0.258340 | + | 1.46512i | ||||
\(528\) | −6945.79 | + | 15486.1i | −0.572494 | + | 1.27641i | ||||
\(529\) | −10103.8 | + | 3677.48i | −0.830426 | + | 0.302250i | ||||
\(530\) | 5512.15 | + | 16044.2i | 0.451759 | + | 1.31493i | ||||
\(531\) | −21045.6 | −1.71996 | ||||||||
\(532\) | 6280.78 | + | 4593.02i | 0.511854 | + | 0.374310i | ||||
\(533\) | −1893.25 | −0.153857 | ||||||||
\(534\) | −2617.72 | − | 7619.37i | −0.212134 | − | 0.617458i | ||||
\(535\) | 215.145 | − | 78.3065i | 0.0173861 | − | 0.00632801i | ||||
\(536\) | 267.045 | + | 2212.51i | 0.0215197 | + | 0.178295i | ||||
\(537\) | −303.941 | + | 1723.73i | −0.0244246 | + | 0.138519i | ||||
\(538\) | 6814.18 | + | 8426.61i | 0.546060 | + | 0.675273i | ||||
\(539\) | −5814.40 | + | 3356.95i | −0.464646 | + | 0.268263i | ||||
\(540\) | 10973.0 | + | 398.251i | 0.874453 | + | 0.0317370i | ||||
\(541\) | −3993.09 | + | 3350.60i | −0.317332 | + | 0.266273i | −0.787514 | − | 0.616296i | \(-0.788632\pi\) |
0.470183 | + | 0.882569i | \(0.344188\pi\) | |||||||
\(542\) | 2798.72 | − | 441.308i | 0.221800 | − | 0.0349738i | ||||
\(543\) | 6491.49 | + | 3747.87i | 0.513033 | + | 0.296199i | ||||
\(544\) | −11118.7 | + | 15763.9i | −0.876305 | + | 1.24241i | ||||
\(545\) | 1843.87 | − | 5065.98i | 0.144922 | − | 0.398170i | ||||
\(546\) | −10473.6 | − | 9117.14i | −0.820929 | − | 0.714611i | ||||
\(547\) | −3169.60 | − | 17975.7i | −0.247756 | − | 1.40509i | −0.814004 | − | 0.580859i | \(-0.802717\pi\) |
0.566249 | − | 0.824235i | \(-0.308394\pi\) | |||||||
\(548\) | 4483.57 | + | 4048.17i | 0.349505 | + | 0.315564i | ||||
\(549\) | 9461.84 | + | 7939.43i | 0.735559 | + | 0.617207i | ||||
\(550\) | 6959.41 | + | 4188.13i | 0.539546 | + | 0.324695i | ||||
\(551\) | 17217.7 | − | 8360.92i | 1.33121 | − | 0.646438i | ||||
\(552\) | 374.975 | − | 6884.04i | 0.0289131 | − | 0.530805i | ||||
\(553\) | −4915.06 | + | 5857.54i | −0.377956 | + | 0.450430i | ||||
\(554\) | 667.868 | − | 3423.35i | 0.0512184 | − | 0.262535i | ||||
\(555\) | 44301.5 | − | 7811.55i | 3.38828 | − | 0.597445i | ||||
\(556\) | 7563.04 | + | 23385.7i | 0.576878 | + | 1.78377i | ||||
\(557\) | 3188.14 | + | 1160.39i | 0.242524 | + | 0.0882714i | 0.460422 | − | 0.887700i | \(-0.347698\pi\) |
−0.217899 | + | 0.975971i | \(0.569920\pi\) | |||||||
\(558\) | −18444.9 | − | 334.605i | −1.39934 | − | 0.0253852i | ||||
\(559\) | −739.491 | + | 1280.84i | −0.0559519 | + | 0.0969116i | ||||
\(560\) | 10905.2 | − | 1115.96i | 0.822911 | − | 0.0842107i | ||||
\(561\) | −18165.6 | − | 21648.9i | −1.36712 | − | 1.62927i | ||||
\(562\) | 4471.89 | − | 2474.80i | 0.335650 | − | 0.185753i | ||||
\(563\) | 6233.36 | + | 10796.5i | 0.466616 | + | 0.808203i | 0.999273 | − | 0.0381284i | \(-0.0121396\pi\) |
−0.532657 | + | 0.846331i | \(0.678806\pi\) | |||||||
\(564\) | −20127.5 | + | 2800.60i | −1.50270 | + | 0.209090i | ||||
\(565\) | −15507.1 | − | 2734.32i | −1.15467 | − | 0.203599i | ||||
\(566\) | −3155.71 | + | 8204.10i | −0.234354 | + | 0.609265i | ||||
\(567\) | −1126.13 | − | 3094.01i | −0.0834089 | − | 0.229164i | ||||
\(568\) | −10249.9 | − | 9597.63i | −0.757173 | − | 0.708992i | ||||
\(569\) | − | 8757.76i | − | 0.645245i | −0.946528 | − | 0.322623i | \(-0.895436\pi\) | ||
0.946528 | − | 0.322623i | \(-0.104564\pi\) | |||||||
\(570\) | −26749.1 | + | 7098.37i | −1.96561 | + | 0.521610i | ||||
\(571\) | − | 301.034i | − | 0.0220629i | −0.999939 | − | 0.0110314i | \(-0.996489\pi\) | ||
0.999939 | − | 0.0110314i | \(-0.00351149\pi\) | |||||||
\(572\) | −2828.25 | + | 13216.7i | −0.206740 | + | 0.966119i | ||||
\(573\) | −2611.66 | − | 7175.48i | −0.190408 | − | 0.523142i | ||||
\(574\) | 1137.37 | + | 437.492i | 0.0827057 | + | 0.0318128i | ||||
\(575\) | −3249.23 | − | 572.927i | −0.235656 | − | 0.0415525i | ||||
\(576\) | −17735.3 | − | 8740.56i | −1.28293 | − | 0.632274i | ||||
\(577\) | −2301.70 | − | 3986.67i | −0.166068 | − | 0.287638i | 0.770966 | − | 0.636876i | \(-0.219774\pi\) |
−0.937034 | + | 0.349238i | \(0.886440\pi\) | |||||||
\(578\) | −8824.49 | − | 15945.6i | −0.635036 | − | 1.14749i | ||||
\(579\) | 23450.6 | + | 27947.3i | 1.68320 | + | 2.00596i | ||||
\(580\) | 10135.8 | − | 24988.3i | 0.725632 | − | 1.78894i | ||||
\(581\) | −4338.45 | + | 7514.42i | −0.309792 | + | 0.536576i | ||||
\(582\) | −297.744 | + | 16413.0i | −0.0212060 | + | 1.16897i | ||||
\(583\) | 12651.4 | + | 4604.72i | 0.898741 | + | 0.327115i | ||||
\(584\) | 5252.07 | − | 22537.6i | 0.372144 | − | 1.59694i | ||||
\(585\) | 28624.7 | − | 5047.30i | 2.02305 | − | 0.356718i | ||||
\(586\) | 23373.1 | + | 4559.90i | 1.64767 | + | 0.321446i | ||||
\(587\) | −14796.6 | + | 17633.9i | −1.04041 | + | 1.23991i | −0.0702318 | + | 0.997531i | \(0.522374\pi\) |
−0.970180 | + | 0.242384i | \(0.922071\pi\) | |||||||
\(588\) | −6223.12 | − | 11742.8i | −0.436458 | − | 0.823579i | ||||
\(589\) | 13452.5 | − | 3832.37i | 0.941091 | − | 0.268098i | ||||
\(590\) | 11592.0 | − | 19262.4i | 0.808872 | − | 1.34410i | ||||
\(591\) | −25879.8 | − | 21715.7i | −1.80127 | − | 1.51145i | ||||
\(592\) | −23628.8 | − | 5960.18i | −1.64043 | − | 0.413787i | ||||
\(593\) | −3804.28 | − | 21575.2i | −0.263446 | − | 1.49407i | −0.773425 | − | 0.633888i | \(-0.781458\pi\) |
0.509980 | − | 0.860187i | \(-0.329653\pi\) | |||||||
\(594\) | 5721.44 | − | 6572.66i | 0.395208 | − | 0.454006i | ||||
\(595\) | −6242.93 | + | 17152.3i | −0.430143 | + | 1.18181i | ||||
\(596\) | 459.919 | − | 733.784i | 0.0316091 | − | 0.0504312i | ||||
\(597\) | −1615.09 | − | 932.470i | −0.110722 | − | 0.0639254i | ||||
\(598\) | −855.144 | − | 5423.22i | −0.0584773 | − | 0.370856i | ||||
\(599\) | −11734.4 | + | 9846.31i | −0.800423 | + | 0.671635i | −0.948301 | − | 0.317371i | \(-0.897200\pi\) |
0.147879 | + | 0.989006i | \(0.452756\pi\) | |||||||
\(600\) | −8784.41 | + | 13466.1i | −0.597704 | + | 0.916252i | ||||
\(601\) | −6822.14 | + | 3938.76i | −0.463030 | + | 0.267330i | −0.713317 | − | 0.700841i | \(-0.752808\pi\) |
0.250288 | + | 0.968172i | \(0.419475\pi\) | |||||||
\(602\) | 740.225 | − | 598.582i | 0.0501151 | − | 0.0405256i | ||||
\(603\) | 660.458 | − | 3745.65i | 0.0446036 | − | 0.252959i | ||||
\(604\) | 18522.7 | − | 14430.7i | 1.24781 | − | 0.972147i | ||||
\(605\) | −3552.61 | + | 1293.04i | −0.238734 | + | 0.0868921i | ||||
\(606\) | 14219.6 | − | 4885.29i | 0.953186 | − | 0.327477i | ||||
\(607\) | −11698.8 | −0.782270 | −0.391135 | − | 0.920333i | \(-0.627917\pi\) | ||||
−0.391135 | + | 0.920333i | \(0.627917\pi\) | |||||||
\(608\) | 14795.0 | + | 2421.49i | 0.986869 | + | 0.161521i | ||||
\(609\) | 21986.0 | 1.46292 | ||||||||
\(610\) | −12478.4 | + | 4287.07i | −0.828252 | + | 0.284555i | ||||
\(611\) | −15207.0 | + | 5534.89i | −1.00689 | + | 0.366477i | ||||
\(612\) | 25971.1 | − | 20233.5i | 1.71539 | − | 1.33643i | ||||
\(613\) | −2078.30 | + | 11786.6i | −0.136936 | + | 0.776603i | 0.836556 | + | 0.547881i | \(0.184566\pi\) |
−0.973492 | + | 0.228721i | \(0.926546\pi\) | |||||||
\(614\) | 13669.7 | − | 11054.0i | 0.898474 | − | 0.726550i | ||||
\(615\) | −3753.59 | + | 2167.14i | −0.246113 | + | 0.142093i | ||||
\(616\) | 4753.19 | − | 7286.42i | 0.310895 | − | 0.476588i | ||||
\(617\) | 10818.6 | − | 9077.86i | 0.705898 | − | 0.592319i | −0.217547 | − | 0.976050i | \(-0.569805\pi\) |
0.923445 | + | 0.383731i | \(0.125361\pi\) | |||||||
\(618\) | 4548.08 | + | 28843.4i | 0.296037 | + | 1.87743i | ||||
\(619\) | −25062.6 | − | 14469.9i | −1.62738 | − | 0.939571i | −0.984869 | − | 0.173298i | \(-0.944558\pi\) |
−0.642515 | − | 0.766273i | \(-0.722109\pi\) | |||||||
\(620\) | 10465.8 | − | 16697.7i | 0.677928 | − | 1.08161i | ||||
\(621\) | −1210.64 | + | 3326.21i | −0.0782308 | + | 0.214937i | ||||
\(622\) | −6771.50 | + | 7778.95i | −0.436515 | + | 0.501459i | ||||
\(623\) | 717.097 | + | 4066.86i | 0.0461154 | + | 0.261533i | ||||
\(624\) | −25941.7 | − | 6543.60i | −1.66426 | − | 0.419797i | ||||
\(625\) | −14474.7 | − | 12145.7i | −0.926378 | − | 0.777323i | ||||
\(626\) | −12623.0 | + | 20975.6i | −0.805935 | + | 1.33922i | ||||
\(627\) | −8967.79 | + | 20048.9i | −0.571194 | + | 1.27699i | ||||
\(628\) | 1986.44 | + | 3748.33i | 0.126222 | + | 0.238176i | ||||
\(629\) | 26082.1 | − | 31083.4i | 1.65336 | − | 1.97039i | ||||
\(630\) | −18362.6 | − | 3582.40i | −1.16125 | − | 0.226549i | ||||
\(631\) | 19107.6 | − | 3369.18i | 1.20548 | − | 0.212559i | 0.465417 | − | 0.885092i | \(-0.345904\pi\) |
0.740068 | + | 0.672532i | \(0.234793\pi\) | |||||||
\(632\) | −3343.64 | + | 14348.2i | −0.210447 | + | 0.903071i | ||||
\(633\) | 715.337 | + | 260.361i | 0.0449164 | + | 0.0163482i | ||||
\(634\) | −43.5993 | + | 2403.38i | −0.00273115 | + | 0.150553i | ||||
\(635\) | 9546.49 | − | 16535.0i | 0.596600 | − | 1.03334i | ||||
\(636\) | −10017.1 | + | 24695.8i | −0.624537 | + | 1.53970i | ||||
\(637\) | −6802.86 | − | 8107.33i | −0.423138 | − | 0.504277i | ||||
\(638\) | −10362.2 | − | 18724.2i | −0.643016 | − | 1.16191i | ||||
\(639\) | 11982.4 | + | 20754.1i | 0.741810 | + | 1.28485i | ||||
\(640\) | 17768.6 | − | 11418.2i | 1.09745 | − | 0.705228i | ||||
\(641\) | 4887.71 | + | 861.835i | 0.301175 | + | 0.0531052i | 0.322193 | − | 0.946674i | \(-0.395580\pi\) |
−0.0210188 | + | 0.999779i | \(0.506691\pi\) | |||||||
\(642\) | 335.688 | + | 129.123i | 0.0206364 | + | 0.00793780i | ||||
\(643\) | −4374.14 | − | 12017.9i | −0.268273 | − | 0.737073i | −0.998545 | − | 0.0539172i | \(-0.982829\pi\) |
0.730273 | − | 0.683156i | \(-0.239393\pi\) | |||||||
\(644\) | −739.467 | + | 3455.61i | −0.0452470 | + | 0.211444i | ||||
\(645\) | 3385.88i | 0.206696i | ||||||||
\(646\) | −14367.3 | + | 20413.8i | −0.875040 | + | 1.24330i | ||||
\(647\) | 10768.5i | 0.654334i | 0.944967 | + | 0.327167i | \(0.106094\pi\) | ||||
−0.944967 | + | 0.327167i | \(0.893906\pi\) | |||||||
\(648\) | −4630.71 | − | 4336.05i | −0.280728 | − | 0.262864i | ||||
\(649\) | −6102.14 | − | 16765.5i | −0.369076 | − | 1.01403i | ||||
\(650\) | −4596.63 | + | 11950.1i | −0.277376 | + | 0.721112i | ||||
\(651\) | 15823.2 | + | 2790.06i | 0.952629 | + | 0.167974i | ||||
\(652\) | −8396.51 | + | 1168.32i | −0.504345 | + | 0.0701760i | ||||
\(653\) | 14850.6 | + | 25722.0i | 0.889968 | + | 1.54147i | 0.839912 | + | 0.542723i | \(0.182607\pi\) |
0.0500561 | + | 0.998746i | \(0.484060\pi\) | |||||||
\(654\) | 7409.95 | − | 4100.76i | 0.443046 | − | 0.245187i | ||||
\(655\) | −19561.9 | − | 23312.9i | −1.16694 | − | 1.39070i | ||||
\(656\) | 2335.73 | − | 239.022i | 0.139017 | − | 0.0142260i | ||||
\(657\) | −19747.4 | + | 34203.6i | −1.17263 | + | 2.03106i | ||||
\(658\) | 10414.6 | + | 188.929i | 0.617027 | + | 0.0111934i | ||||
\(659\) | −20476.3 | − | 7452.75i | −1.21038 | − | 0.440543i | −0.343546 | − | 0.939136i | \(-0.611628\pi\) |
−0.866837 | + | 0.498592i | \(0.833850\pi\) | |||||||
\(660\) | 9521.40 | + | 29441.1i | 0.561546 | + | 1.73636i | ||||
\(661\) | −8246.94 | + | 1454.16i | −0.485278 | + | 0.0855676i | −0.410934 | − | 0.911665i | \(-0.634797\pi\) |
−0.0743438 | + | 0.997233i | \(0.523686\pi\) | |||||||
\(662\) | 2857.38 | − | 14646.3i | 0.167757 | − | 0.859887i | ||||
\(663\) | 28635.2 | − | 34126.1i | 1.67737 | − | 1.99901i | ||||
\(664\) | −909.285 | + | 16693.3i | −0.0531432 | + | 0.975638i | ||||
\(665\) | 14110.4 | − | 1458.47i | 0.822825 | − | 0.0850483i | ||||
\(666\) | 35634.5 | + | 21444.7i | 2.07329 | + | 1.24769i | ||||
\(667\) | 6659.12 | + | 5587.66i | 0.386570 | + | 0.324371i | ||||
\(668\) | 16477.4 | + | 14877.2i | 0.954383 | + | 0.861703i | ||||
\(669\) | 7874.02 | + | 44655.8i | 0.455048 | + | 2.58071i | ||||
\(670\) | 3064.50 | + | 2667.62i | 0.176704 | + | 0.153819i | ||||
\(671\) | −3581.32 | + | 9839.61i | −0.206044 | + | 0.566101i | ||||
\(672\) | 14072.4 | + | 9925.67i | 0.807820 | + | 0.569778i | ||||
\(673\) | −20558.5 | − | 11869.5i | −1.17752 | − | 0.679844i | −0.222083 | − | 0.975028i | \(-0.571286\pi\) |
−0.955440 | + | 0.295184i | \(0.904619\pi\) | |||||||
\(674\) | −13662.1 | + | 2154.26i | −0.780775 | + | 0.123114i | ||||
\(675\) | 6323.57 | − | 5306.11i | 0.360584 | − | 0.302566i | ||||
\(676\) | −3727.28 | − | 135.276i | −0.212066 | − | 0.00769663i | ||||
\(677\) | −19671.6 | + | 11357.4i | −1.11675 | + | 0.644756i | −0.940569 | − | 0.339601i | \(-0.889708\pi\) |
−0.176181 | + | 0.984358i | \(0.556375\pi\) | |||||||
\(678\) | −15553.8 | − | 19234.3i | −0.881031 | − | 1.08951i | ||||
\(679\) | 1461.13 | − | 8286.49i | 0.0825818 | − | 0.468345i | ||||
\(680\) | 4214.19 | + | 34915.3i | 0.237657 | + | 1.96903i | ||||
\(681\) | 49758.3 | − | 18110.5i | 2.79992 | − | 1.01909i | ||||
\(682\) | −5081.52 | − | 14790.7i | −0.285310 | − | 0.830449i | ||||
\(683\) | 25910.8 | 1.45161 | 0.725803 | − | 0.687902i | \(-0.241468\pi\) | ||||
0.725803 | + | 0.687902i | \(0.241468\pi\) | |||||||
\(684\) | −22961.8 | − | 11287.3i | −1.28358 | − | 0.630968i | ||||
\(685\) | 11012.8 | 0.614276 | ||||||||
\(686\) | 5915.34 | + | 17217.7i | 0.329226 | + | 0.958274i | ||||
\(687\) | 6977.20 | − | 2539.49i | 0.387477 | − | 0.141030i | ||||
\(688\) | 750.616 | − | 1673.55i | 0.0415944 | − | 0.0927374i | ||||
\(689\) | −3685.29 | + | 20900.3i | −0.203771 | + | 1.15564i | ||||
\(690\) | −7903.19 | − | 9773.32i | −0.436043 | − | 0.539223i | ||||
\(691\) | −19994.6 | + | 11543.9i | −1.10077 | + | 0.635529i | −0.936423 | − | 0.350874i | \(-0.885884\pi\) |
−0.164345 | + | 0.986403i | \(0.552551\pi\) | |||||||
\(692\) | −250.346 | + | 6897.81i | −0.0137525 | + | 0.378924i | ||||
\(693\) | −11373.8 | + | 9543.79i | −0.623458 | + | 0.523144i | ||||
\(694\) | −6712.70 | + | 1058.47i | −0.367162 | + | 0.0578948i | ||||
\(695\) | 38805.5 | + | 22404.4i | 2.11795 | + | 1.22280i | ||||
\(696\) | 37783.3 | − | 19153.8i | 2.05772 | − | 1.04314i | ||||
\(697\) | −1337.14 | + | 3673.76i | −0.0726653 | + | 0.199646i | ||||
\(698\) | 8872.99 | + | 7723.86i | 0.481157 | + | 0.418843i | ||||
\(699\) | 6936.42 | + | 39338.4i | 0.375336 | + | 2.12863i | ||||
\(700\) | 5522.86 | − | 6116.87i | 0.298206 | − | 0.330280i | ||||
\(701\) | 1067.29 | + | 895.561i | 0.0575049 | + | 0.0482523i | 0.671087 | − | 0.741379i | \(-0.265828\pi\) |
−0.613582 | + | 0.789631i | \(0.710272\pi\) | |||||||
\(702\) | 11769.5 | + | 7082.79i | 0.632777 | + | 0.380801i | ||||
\(703\) | −30584.6 | − | 7681.63i | −1.64085 | − | 0.412117i | ||||
\(704\) | 1820.65 | − | 16662.8i | 0.0974692 | − | 0.892047i | ||||
\(705\) | −23814.0 | + | 28380.5i | −1.27218 | + | 1.51613i | ||||
\(706\) | 3680.07 | − | 18863.3i | 0.196177 | − | 1.00556i | ||||
\(707\) | −7589.73 | + | 1338.27i | −0.403736 | + | 0.0711895i | ||||
\(708\) | 33602.8 | − | 10867.3i | 1.78372 | − | 0.576862i | ||||
\(709\) | −7642.38 | − | 2781.60i | −0.404818 | − | 0.147342i | 0.131583 | − | 0.991305i | \(-0.457994\pi\) |
−0.536400 | + | 0.843964i | \(0.680216\pi\) | |||||||
\(710\) | −25595.6 | − | 464.325i | −1.35294 | − | 0.0245434i | ||||
\(711\) | 12571.9 | − | 21775.1i | 0.663125 | − | 1.14857i | ||||
\(712\) | 4775.32 | + | 6364.25i | 0.251352 | + | 0.334986i | ||||
\(713\) | 4083.46 | + | 4866.48i | 0.214483 | + | 0.255611i | ||||
\(714\) | −25088.4 | + | 13884.3i | −1.31500 | + | 0.727739i | ||||
\(715\) | 12320.5 | + | 21339.8i | 0.644421 | + | 1.11617i | ||||
\(716\) | −238.230 | − | 1712.12i | −0.0124345 | − | 0.0893646i | ||||
\(717\) | 4201.45 | + | 740.829i | 0.218837 | + | 0.0385868i | ||||
\(718\) | 5116.82 | − | 13302.5i | 0.265958 | − | 0.691428i | ||||
\(719\) | −3928.03 | − | 10792.2i | −0.203743 | − | 0.559778i | 0.795171 | − | 0.606386i | \(-0.207381\pi\) |
−0.998913 | + | 0.0466075i | \(0.985159\pi\) | |||||||
\(720\) | −34677.4 | + | 9840.77i | −1.79493 | + | 0.509366i | ||||
\(721\) | − | 14967.2i | − | 0.773103i | ||||||
\(722\) | 19148.6 | + | 3114.04i | 0.987033 | + | 0.160516i | ||||
\(723\) | − | 11571.1i | − | 0.595206i | ||||||
\(724\) | −7238.88 | − | 1549.05i | −0.371590 | − | 0.0795165i | ||||
\(725\) | −6933.61 | − | 19049.9i | −0.355183 | − | 0.975857i | ||||
\(726\) | −5543.09 | − | 2132.15i | −0.283366 | − | 0.108997i | ||||
\(727\) | −26113.4 | − | 4604.49i | −1.33218 | − | 0.234899i | −0.538184 | − | 0.842827i | \(-0.680890\pi\) |
−0.793992 | + | 0.607929i | \(0.792001\pi\) | |||||||
\(728\) | 12612.5 | + | 5384.31i | 0.642100 | + | 0.274115i | ||||
\(729\) | 15704.6 | + | 27201.2i | 0.797877 | + | 1.38196i | ||||
\(730\) | −20428.5 | − | 36913.7i | −1.03575 | − | 1.87156i | ||||
\(731\) | 1963.12 | + | 2339.55i | 0.0993277 | + | 0.118374i | ||||
\(732\) | −19207.1 | − | 7790.83i | −0.969831 | − | 0.393385i | ||||
\(733\) | 386.704 | − | 669.791i | 0.0194860 | − | 0.0337507i | −0.856118 | − | 0.516780i | \(-0.827130\pi\) |
0.875604 | + | 0.483030i | \(0.160464\pi\) | |||||||
\(734\) | −550.969 | + | 30371.8i | −0.0277066 | + | 1.52731i | ||||
\(735\) | −22767.6 | − | 8286.74i | −1.14258 | − | 0.415866i | ||||
\(736\) | 1739.68 | + | 6582.75i | 0.0871270 | + | 0.329678i | ||||
\(737\) | 3175.39 | − | 559.906i | 0.158707 | − | 0.0279843i | ||||
\(738\) | −3932.99 | − | 767.294i | −0.196172 | − | 0.0382716i | ||||
\(739\) | 6042.15 | − | 7200.75i | 0.300763 | − | 0.358435i | −0.594404 | − | 0.804167i | \(-0.702612\pi\) |
0.895167 | + | 0.445731i | \(0.147056\pi\) | |||||||
\(740\) | −39255.3 | + | 20803.4i | −1.95007 | + | 1.03345i | ||||
\(741\) | −33578.4 | − | 8433.56i | −1.66469 | − | 0.418103i | ||||
\(742\) | 7043.57 | − | 11704.3i | 0.348487 | − | 0.579081i | ||||
\(743\) | −28337.9 | − | 23778.3i | −1.39921 | − | 1.17408i | −0.961446 | − | 0.274993i | \(-0.911324\pi\) |
−0.437769 | − | 0.899088i | \(-0.644231\pi\) | |||||||
\(744\) | 29623.2 | − | 8990.14i | 1.45973 | − | 0.443003i | ||||
\(745\) | −274.159 | − | 1554.83i | −0.0134824 | − | 0.0764626i | ||||
\(746\) | −5365.71 | + | 6164.00i | −0.263341 | + | 0.302520i | ||||
\(747\) | 9758.54 | − | 26811.4i | 0.477974 | − | 1.31322i | ||||
\(748\) | 23648.9 | + | 14822.6i | 1.15600 | + | 0.724556i | ||||
\(749\) | −159.658 | − | 92.1785i | −0.00778875 | − | 0.00449683i | ||||
\(750\) | −1940.48 | − | 12306.3i | −0.0944749 | − | 0.599149i | ||||
\(751\) | −18765.1 | + | 15745.7i | −0.911780 | + | 0.765074i | −0.972457 | − | 0.233083i | \(-0.925118\pi\) |
0.0606771 | + | 0.998157i | \(0.480674\pi\) | |||||||
\(752\) | 18062.3 | − | 8748.34i | 0.875883 | − | 0.424228i | ||||
\(753\) | 14204.4 | − | 8200.90i | 0.687432 | − | 0.396889i | ||||
\(754\) | 26230.8 | − | 21211.6i | 1.26694 | − | 1.02451i | ||||
\(755\) | 7433.45 | − | 42157.2i | 0.358319 | − | 2.03213i | ||||
\(756\) | −5433.83 | − | 6974.67i | −0.261411 | − | 0.335537i | ||||
\(757\) | 2571.67 | − | 936.012i | 0.123473 | − | 0.0449405i | −0.279545 | − | 0.960133i | \(-0.590184\pi\) |
0.403018 | + | 0.915192i | \(0.367961\pi\) | |||||||
\(758\) | −12657.3 | + | 4348.56i | −0.606510 | + | 0.208373i | ||||
\(759\) | −9974.84 | −0.477027 | ||||||||
\(760\) | 22978.4 | − | 14799.2i | 1.09673 | − | 0.706345i | ||||
\(761\) | −24446.6 | −1.16450 | −0.582252 | − | 0.813008i | \(-0.697828\pi\) | ||||
−0.582252 | + | 0.813008i | \(0.697828\pi\) | |||||||
\(762\) | 28366.1 | − | 9745.48i | 1.34855 | − | 0.463309i | ||||
\(763\) | −4079.22 | + | 1484.72i | −0.193549 | + | 0.0704461i | ||||
\(764\) | 4634.73 | + | 5948.98i | 0.219475 | + | 0.281710i | ||||
\(765\) | 10422.6 | − | 59109.4i | 0.492587 | − | 2.79360i | ||||
\(766\) | 4149.50 | − | 3355.49i | 0.195728 | − | 0.158275i | ||||
\(767\) | 24356.3 | − | 14062.1i | 1.14661 | − | 0.661998i | ||||
\(768\) | 32830.8 | + | 4797.81i | 1.54255 | + | 0.225425i | ||||
\(769\) | −10141.9 | + | 8510.06i | −0.475587 | + | 0.399065i | −0.848828 | − | 0.528670i | \(-0.822691\pi\) |
0.373241 | + | 0.927734i | \(0.378246\pi\) | |||||||
\(770\) | −2470.39 | − | 15666.9i | −0.115619 | − | 0.733241i | ||||
\(771\) | −35204.1 | − | 20325.1i | −1.64442 | − | 0.949403i | ||||
\(772\) | −30529.1 | − | 19135.0i | −1.42327 | − | 0.892075i | ||||
\(773\) | 1853.69 | − | 5092.97i | 0.0862518 | − | 0.236975i | −0.889067 | − | 0.457778i | \(-0.848646\pi\) |
0.975318 | + | 0.220803i | \(0.0708678\pi\) | |||||||
\(774\) | −2055.29 | + | 2361.07i | −0.0954470 | + | 0.109647i | ||||
\(775\) | −2572.62 | − | 14590.0i | −0.119240 | − | 0.676245i | ||||
\(776\) | −4708.06 | − | 15513.4i | −0.217796 | − | 0.717653i | ||||
\(777\) | −27748.2 | − | 23283.5i | −1.28116 | − | 1.07502i | ||||
\(778\) | −962.372 | + | 1599.17i | −0.0443480 | + | 0.0736929i | ||||
\(779\) | 3022.23 | − | 312.382i | 0.139002 | − | 0.0143675i | ||||
\(780\) | −43097.9 | + | 22839.8i | −1.97840 | + | 1.04846i | ||||
\(781\) | −13059.0 | + | 15563.2i | −0.598322 | + | 0.713052i | ||||
\(782\) | −11127.4 | − | 2170.87i | −0.508844 | − | 0.0992714i | ||||
\(783\) | −21418.7 | + | 3776.70i | −0.977577 | + | 0.172373i | ||||
\(784\) | 9416.33 | + | 9143.28i | 0.428951 | + | 0.416512i | ||||
\(785\) | 7267.49 | + | 2645.15i | 0.330430 | + | 0.120267i | ||||
\(786\) | 867.124 | − | 47799.6i | 0.0393502 | − | 2.16916i | ||||
\(787\) | 11938.2 | − | 20677.6i | 0.540726 | − | 0.936564i | −0.458137 | − | 0.888882i | \(-0.651483\pi\) |
0.998863 | − | 0.0476828i | \(-0.0151837\pi\) | |||||||
\(788\) | 30918.0 | + | 12541.0i | 1.39773 | + | 0.566949i | ||||
\(789\) | −940.753 | − | 1121.15i | −0.0424483 | − | 0.0505879i | ||||
\(790\) | 13005.5 | + | 23500.5i | 0.585714 | + | 1.05837i | ||||
\(791\) | 6339.61 | + | 10980.5i | 0.284969 | + | 0.493581i | ||||
\(792\) | −11231.8 | + | 26309.9i | −0.503919 | + | 1.18040i | ||||
\(793\) | −16255.2 | − | 2866.23i | −0.727919 | − | 0.128352i | ||||
\(794\) | −118.455 | − | 45.5640i | −0.00529449 | − | 0.00203653i | ||||
\(795\) | 16617.3 | + | 45655.7i | 0.741328 | + | 2.03678i | ||||
\(796\) | 1801.04 | + | 385.404i | 0.0801960 | + | 0.0171611i | ||||
\(797\) | − | 21112.3i | − | 0.938315i | −0.883114 | − | 0.469158i | \(-0.844558\pi\) | ||
0.883114 | − | 0.469158i | \(-0.155442\pi\) | |||||||
\(798\) | 18223.4 | + | 12825.7i | 0.808400 | + | 0.568956i | ||||
\(799\) | 33417.4i | 1.47963i | ||||||||
\(800\) | 4162.23 | − | 15323.4i | 0.183946 | − | 0.677203i | ||||
\(801\) | −4644.38 | − | 12760.3i | −0.204870 | − | 0.562876i | ||||
\(802\) | −10006.1 | + | 26013.3i | −0.440556 | + | 1.14534i | ||||
\(803\) | −32973.3 | − | 5814.08i | −1.44907 | − | 0.255510i | ||||
\(804\) | 879.607 | + | 6321.60i | 0.0385837 | + | 0.277296i | ||||
\(805\) | 3221.29 | + | 5579.43i | 0.141038 | + | 0.244285i | ||||
\(806\) | 21570.0 | − | 11937.1i | 0.942645 | − | 0.521672i | ||||
\(807\) | 19950.0 | + | 23775.4i | 0.870225 | + | 1.03709i | ||||
\(808\) | −11877.2 | + | 8911.88i | −0.517127 | + | 0.388018i | ||||
\(809\) | −9894.21 | + | 17137.3i | −0.429990 | + | 0.744764i | −0.996872 | − | 0.0790347i | \(-0.974816\pi\) |
0.566882 | + | 0.823799i | \(0.308150\pi\) | |||||||
\(810\) | −11563.7 | − | 209.774i | −0.501612 | − | 0.00909964i | ||||
\(811\) | 28751.6 | + | 10464.7i | 1.24489 | + | 0.453103i | 0.878672 | − | 0.477426i | \(-0.158430\pi\) |
0.366218 | + | 0.930529i | \(0.380652\pi\) | |||||||
\(812\) | −20659.8 | + | 6681.46i | −0.892876 | + | 0.288760i | ||||
\(813\) | 7991.15 | − | 1409.06i | 0.344726 | − | 0.0607844i | ||||
\(814\) | −6751.22 | + | 34605.3i | −0.290700 | + | 1.49007i | ||||
\(815\) | −9934.41 | + | 11839.4i | −0.426978 | + | 0.508853i | ||||
\(816\) | −31019.2 | + | 45717.0i | −1.33075 | + | 1.96129i | ||||
\(817\) | 969.128 | − | 2166.64i | 0.0415000 | − | 0.0927797i | ||||
\(818\) | −3587.65 | − | 2159.03i | −0.153349 | − | 0.0922844i | ||||
\(819\) | −17929.0 | − | 15044.2i | −0.764946 | − | 0.641866i | ||||
\(820\) | 2868.59 | − | 3177.12i | 0.122165 | − | 0.135305i | ||||
\(821\) | −6658.47 | − | 37762.1i | −0.283048 | − | 1.60524i | −0.712176 | − | 0.702001i | \(-0.752290\pi\) |
0.429128 | − | 0.903244i | \(-0.358821\pi\) | |||||||
\(822\) | 13048.9 | + | 11358.9i | 0.553688 | + | 0.481981i | ||||
\(823\) | −1487.58 | + | 4087.11i | −0.0630060 | + | 0.173108i | −0.967201 | − | 0.254012i | \(-0.918250\pi\) |
0.904195 | + | 0.427120i | \(0.140472\pi\) | |||||||
\(824\) | −13039.2 | − | 25721.4i | −0.551263 | − | 1.08744i | ||||
\(825\) | 20145.6 | + | 11631.1i | 0.850159 | + | 0.490840i | ||||
\(826\) | −17881.5 | + | 2819.59i | −0.753241 | + | 0.118772i | ||||
\(827\) | 26225.8 | − | 22006.1i | 1.10274 | − | 0.925305i | 0.105129 | − | 0.994459i | \(-0.466474\pi\) |
0.997606 | + | 0.0691538i | \(0.0220299\pi\) | |||||||
\(828\) | 421.463 | − | 11612.6i | 0.0176894 | − | 0.487399i | ||||
\(829\) | 27764.5 | − | 16029.8i | 1.16321 | − | 0.671578i | 0.211137 | − | 0.977456i | \(-0.432283\pi\) |
0.952071 | + | 0.305878i | \(0.0989500\pi\) | |||||||
\(830\) | 19164.6 | + | 23699.5i | 0.801462 | + | 0.991111i | ||||
\(831\) | 1734.59 | − | 9837.38i | 0.0724097 | − | 0.410656i | ||||
\(832\) | 26365.4 | − | 1734.71i | 1.09863 | − | 0.0722839i | ||||
\(833\) | −20536.5 | + | 7474.66i | −0.854197 | + | 0.310902i | ||||
\(834\) | 22871.3 | + | 66571.4i | 0.949604 | + | 2.76400i | ||||
\(835\) | 40472.7 | 1.67739 | ||||||||
\(836\) | 2334.06 | − | 21564.8i | 0.0965611 | − | 0.892146i | ||||
\(837\) | −15894.2 | −0.656374 | ||||||||
\(838\) | −863.629 | − | 2513.76i | −0.0356009 | − | 0.103623i | ||||
\(839\) | 19349.4 | − | 7042.61i | 0.796204 | − | 0.289795i | 0.0882917 | − | 0.996095i | \(-0.471859\pi\) |
0.707913 | + | 0.706300i | \(0.249637\pi\) | |||||||
\(840\) | 31168.9 | − | 3762.01i | 1.28027 | − | 0.154526i | ||||
\(841\) | −5039.84 | + | 28582.3i | −0.206644 | + | 1.17194i | ||||
\(842\) | −13637.8 | − | 16864.9i | −0.558181 | − | 0.690264i | ||||
\(843\) | 12676.6 | − | 7318.83i | 0.517918 | − | 0.299020i | ||||
\(844\) | −751.310 | − | 27.2677i | −0.0306412 | − | 0.00111208i | ||||
\(845\) | −5208.86 | + | 4370.76i | −0.212060 | + | 0.177939i | ||||
\(846\) | −33833.7 | + | 5334.96i | −1.37497 | + | 0.216808i | ||||
\(847\) | 2636.37 | + | 1522.11i | 0.106950 | + | 0.0617476i | ||||
\(848\) | 1907.94 | − | 26250.3i | 0.0772630 | − | 1.06302i | ||||
\(849\) | −8610.14 | + | 23656.2i | −0.348056 | + | 0.956275i | ||||
\(850\) | 19942.2 | + | 17359.5i | 0.804718 | + | 0.700500i | ||||
\(851\) | −2486.96 | − | 14104.2i | −0.100178 | − | 0.568140i | ||||
\(852\) | −29848.8 | − | 26950.1i | −1.20024 | − | 1.08368i | ||||
\(853\) | 25473.2 | + | 21374.5i | 1.02249 | + | 0.857973i | 0.989939 | − | 0.141497i | \(-0.0451917\pi\) |
0.0325533 | + | 0.999470i | \(0.489636\pi\) | |||||||
\(854\) | 9103.01 | + | 5478.14i | 0.364753 | + | 0.219506i | ||||
\(855\) | −44861.3 | + | 12780.1i | −1.79441 | + | 0.511193i | ||||
\(856\) | −354.679 | − | 19.3195i | −0.0141620 | − | 0.000771408i | ||||
\(857\) | −10542.9 | + | 12564.6i | −0.420233 | + | 0.500814i | −0.934078 | − | 0.357069i | \(-0.883776\pi\) |
0.513845 | + | 0.857883i | \(0.328221\pi\) | |||||||
\(858\) | −7412.07 | + | 37992.7i | −0.294923 | + | 1.51171i | ||||
\(859\) | −12491.3 | + | 2202.56i | −0.496156 | + | 0.0874857i | −0.416126 | − | 0.909307i | \(-0.636613\pi\) |
−0.0800297 | + | 0.996792i | \(0.525502\pi\) | |||||||
\(860\) | −1028.96 | − | 3181.64i | −0.0407990 | − | 0.126155i | ||||
\(861\) | 3279.57 | + | 1193.66i | 0.129811 | + | 0.0472473i | ||||
\(862\) | −4354.75 | − | 78.9987i | −0.172069 | − | 0.00312147i | ||||
\(863\) | −19935.0 | + | 34528.4i | −0.786321 | + | 1.36195i | 0.141886 | + | 0.989883i | \(0.454683\pi\) |
−0.928207 | + | 0.372064i | \(0.878650\pi\) | |||||||
\(864\) | −15414.3 | − | 7252.25i | −0.606952 | − | 0.285563i | ||||
\(865\) | 8088.65 | + | 9639.68i | 0.317945 | + | 0.378912i | ||||
\(866\) | 19870.4 | − | 10996.5i | 0.779703 | − | 0.431498i | ||||
\(867\) | −26097.0 | − | 45201.4i | −1.02226 | − | 1.77061i | ||||
\(868\) | −15716.6 | + | 2186.86i | −0.614583 | + | 0.0855149i | ||||
\(869\) | 20991.9 | + | 3701.43i | 0.819448 | + | 0.144491i | ||||
\(870\) | 27725.6 | − | 72079.9i | 1.08044 | − | 2.80890i | ||||
\(871\) | 1738.39 | + | 4776.18i | 0.0676268 | + | 0.185803i | ||||
\(872\) | −5716.77 | + | 6105.26i | −0.222012 | + | 0.237099i | ||||
\(873\) | 27668.6i | 1.07267i | ||||||||
\(874\) | 2259.90 | + | 8516.09i | 0.0874626 | + | 0.329589i | ||||
\(875\) | 6385.88i | 0.246722i | ||||||||
\(876\) | 13868.4 | − | 64808.8i | 0.534898 | − | 2.49964i | ||||
\(877\) | 3973.52 | + | 10917.2i | 0.152995 | + | 0.420349i | 0.992384 | − | 0.123181i | \(-0.0393095\pi\) |
−0.839390 | + | 0.543530i | \(0.817087\pi\) | |||||||
\(878\) | −7232.25 | − | 2781.89i | −0.277992 | − | 0.106930i | ||||
\(879\) | 67165.1 | + | 11843.0i | 2.57727 | + | 0.454443i | ||||
\(880\) | −17894.1 | − | 24771.7i | −0.685467 | − | 0.948925i | ||||
\(881\) | 317.217 | + | 549.435i | 0.0121309 | + | 0.0210113i | 0.872027 | − | 0.489458i | \(-0.162805\pi\) |
−0.859896 | + | 0.510469i | \(0.829472\pi\) | |||||||
\(882\) | −10846.3 | − | 19599.0i | −0.414076 | − | 0.748223i | ||||
\(883\) | 15074.9 | + | 17965.6i | 0.574531 | + | 0.684699i | 0.972554 | − | 0.232676i | \(-0.0747482\pi\) |
−0.398023 | + | 0.917375i | \(0.630304\pi\) | |||||||
\(884\) | −16537.1 | + | 40769.7i | −0.629188 | + | 1.55117i | ||||
\(885\) | 32192.8 | − | 55759.5i | 1.22277 | − | 2.11789i | ||||
\(886\) | −703.772 | + | 38795.0i | −0.0266859 | + | 1.47104i | ||||
\(887\) | 15340.1 | + | 5583.35i | 0.580689 | + | 0.211354i | 0.615629 | − | 0.788036i | \(-0.288902\pi\) |
−0.0349402 | + | 0.999389i | \(0.511124\pi\) | |||||||
\(888\) | −67970.0 | − | 15839.4i | −2.56861 | − | 0.598576i | ||||
\(889\) | −15140.5 | + | 2669.67i | −0.571198 | + | 0.100718i | ||||
\(890\) | 14237.3 | + | 2777.58i | 0.536219 | + | 0.104612i | ||||
\(891\) | −5899.85 | + | 7031.17i | −0.221832 | + | 0.264369i | ||||
\(892\) | −20969.8 | − | 39569.2i | −0.787131 | − | 1.48529i | ||||
\(893\) | 23361.9 | − | 11344.6i | 0.875451 | − | 0.425119i | ||||
\(894\) | 1278.85 | − | 2125.06i | 0.0478424 | − | 0.0794997i | ||||
\(895\) | −2414.15 | − | 2025.71i | −0.0901634 | − | 0.0756561i | ||||
\(896\) | −16239.9 | − | 5050.38i | −0.605511 | − | 0.188305i | ||||
\(897\) | −2730.39 | − | 15484.8i | −0.101633 | − | 0.576392i | ||||
\(898\) | −5857.94 | + | 6729.47i | −0.217686 | + | 0.250073i | ||||
\(899\) | −13350.3 | + | 36679.6i | −0.495280 | + | 1.36077i | ||||
\(900\) | −14392.0 | + | 22961.9i | −0.533038 | + | 0.850442i | ||||
\(901\) | 37953.1 | + | 21912.3i | 1.40333 | + | 0.810214i | ||||
\(902\) | −529.118 | − | 3355.61i | −0.0195318 | − | 0.123869i | ||||
\(903\) | 2088.52 | − | 1752.48i | 0.0769675 | − | 0.0645834i | ||||
\(904\) | 20460.8 | + | 13347.3i | 0.752783 | + | 0.491067i | ||||
\(905\) | −11687.9 | + | 6748.01i | −0.429303 | + | 0.247858i | ||||
\(906\) | 52289.8 | − | 42284.1i | 1.91745 | − | 1.55055i | ||||
\(907\) | 1433.16 | − | 8127.87i | 0.0524668 | − | 0.297554i | −0.947271 | − | 0.320432i | \(-0.896172\pi\) |
0.999738 | + | 0.0228782i | \(0.00728298\pi\) | |||||||
\(908\) | −41253.1 | + | 32139.5i | −1.50775 | + | 1.17465i | ||||
\(909\) | 23813.8 | − | 8667.52i | 0.868926 | − | 0.316263i | ||||
\(910\) | 23644.9 | − | 8123.47i | 0.861342 | − | 0.295924i | ||||
\(911\) | 12279.1 | 0.446568 | 0.223284 | − | 0.974753i | \(-0.428322\pi\) | ||||
0.223284 | + | 0.974753i | \(0.428322\pi\) | |||||||
\(912\) | 42490.9 | + | 6165.35i | 1.54278 | + | 0.223854i | ||||
\(913\) | 24188.2 | 0.876793 | ||||||||
\(914\) | −18006.2 | + | 6186.24i | −0.651634 | + | 0.223876i | ||||
\(915\) | −35508.7 | + | 12924.1i | −1.28293 | + | 0.466949i | ||||
\(916\) | −5784.58 | + | 4506.65i | −0.208655 | + | 0.162559i | ||||
\(917\) | −4255.27 | + | 24132.8i | −0.153240 | + | 0.869069i | ||||
\(918\) | 22056.1 | − | 17835.7i | 0.792985 | − | 0.641247i | ||||
\(919\) | −11737.6 | + | 6776.68i | −0.421312 | + | 0.243245i | −0.695639 | − | 0.718392i | \(-0.744879\pi\) |
0.274326 | + | 0.961637i | \(0.411545\pi\) | |||||||
\(920\) | 10396.5 | + | 6782.03i | 0.372570 | + | 0.243040i | ||||
\(921\) | 38568.5 | − | 32362.8i | 1.37989 | − | 1.15786i | ||||
\(922\) | 3037.76 | + | 19265.1i | 0.108507 | + | 0.688138i | ||||
\(923\) | −27734.7 | − | 16012.6i | −0.989057 | − | 0.571032i | ||||
\(924\) | 13232.1 | − | 21111.4i | 0.471110 | − | 0.751639i | ||||
\(925\) | −11423.4 | + | 31385.5i | −0.406052 | + | 1.11562i | ||||
\(926\) | 8974.59 | − | 10309.8i | 0.318492 | − | 0.365876i | ||||
\(927\) | 8546.32 | + | 48468.6i | 0.302802 | + | 1.71728i | ||||
\(928\) | −29683.4 | + | 29480.6i | −1.05001 | + | 1.04283i | ||||
\(929\) | −21933.4 | − | 18404.3i | −0.774607 | − | 0.649973i | 0.167277 | − | 0.985910i | \(-0.446503\pi\) |
−0.941884 | + | 0.335937i | \(0.890947\pi\) | |||||||
\(930\) | 29101.1 | − | 48357.2i | 1.02609 | − | 1.70505i | ||||
\(931\) | 12197.2 | + | 11819.4i | 0.429375 | + | 0.416075i | ||||
\(932\) | −18472.8 | − | 34857.5i | −0.649246 | − | 1.22510i | ||||
\(933\) | −18985.9 | + | 22626.6i | −0.666208 | + | 0.793955i | ||||
\(934\) | −7724.65 | − | 1507.02i | −0.270619 | − | 0.0527956i | ||||
\(935\) | 50110.2 | − | 8835.78i | 1.75271 | − | 0.309049i | ||||
\(936\) | −43917.6 | − | 10234.4i | −1.53365 | − | 0.357394i | ||||
\(937\) | 44273.3 | + | 16114.2i | 1.54359 | + | 0.561821i | 0.966903 | − | 0.255143i | \(-0.0821226\pi\) |
0.576688 | + | 0.816965i | \(0.304345\pi\) | |||||||
\(938\) | 59.3385 | − | 3271.00i | 0.00206554 | − | 0.113861i | ||||
\(939\) | −35056.0 | + | 60718.7i | −1.21833 | + | 2.11020i | ||||
\(940\) | 13752.8 | − | 33905.5i | 0.477200 | − | 1.17646i | ||||
\(941\) | 24775.4 | + | 29526.2i | 0.858296 | + | 1.02288i | 0.999459 | + | 0.0328905i | \(0.0104713\pi\) |
−0.141163 | + | 0.989986i | \(0.545084\pi\) | |||||||
\(942\) | 5882.82 | + | 10630.1i | 0.203474 | + | 0.367671i | ||||
\(943\) | 689.950 | + | 1195.03i | 0.0238259 | + | 0.0412677i | ||||
\(944\) | −28273.3 | + | 20423.6i | −0.974808 | + | 0.704164i | ||||
\(945\) | −15874.1 | − | 2799.04i | −0.546440 | − | 0.0963521i | ||||
\(946\) | −2476.83 | − | 952.714i | −0.0851254 | − | 0.0327435i | ||||
\(947\) | −8128.27 | − | 22332.2i | −0.278916 | − | 0.766315i | −0.997486 | − | 0.0708607i | \(-0.977425\pi\) |
0.718570 | − | 0.695454i | \(-0.244797\pi\) | |||||||
\(948\) | −8829.09 | + | 41259.4i | −0.302485 | + | 1.41355i | ||||
\(949\) | − | 52778.9i | − | 1.80535i | ||||||
\(950\) | 5365.94 | − | 19834.6i | 0.183257 | − | 0.677390i | ||||
\(951\) | 6884.29i | 0.234741i | ||||||||
\(952\) | 19355.7 | − | 20671.1i | 0.658951 | − | 0.703732i | ||||
\(953\) | 4736.46 | + | 13013.3i | 0.160996 | + | 0.442332i | 0.993793 | − | 0.111246i | \(-0.0354842\pi\) |
−0.832797 | + | 0.553578i | \(0.813262\pi\) | |||||||
\(954\) | −16126.2 | + | 41924.1i | −0.547278 | + | 1.42279i | ||||
\(955\) | 13539.7 | + | 2387.41i | 0.458779 | + | 0.0808952i | ||||
\(956\) | −4173.15 | + | 580.664i | −0.141181 | + | 0.0196444i | ||||
\(957\) | −30644.6 | − | 53078.0i | −1.03511 | − | 1.79286i | ||||
\(958\) | −14153.8 | + | 7832.90i | −0.477337 | + | 0.264165i | ||||
\(959\) | −5700.07 | − | 6793.08i | −0.191934 | − | 0.228738i | ||||
\(960\) | 50286.9 | − | 33618.9i | 1.69063 | − | 1.13025i | ||||
\(961\) | 632.637 | − | 1095.76i | 0.0212359 | − | 0.0367816i | ||||
\(962\) | −55569.0 | − | 1008.07i | −1.86239 | − | 0.0337852i | ||||
\(963\) | 569.657 | + | 207.338i | 0.0190623 | + | 0.00693809i | ||||
\(964\) | 3516.42 | + | 10873.1i | 0.117486 | + | 0.363278i | ||||
\(965\) | −64688.9 | + | 11406.4i | −2.15794 | + | 0.380502i | ||||
\(966\) | −1937.94 | + | 9933.47i | −0.0645468 | + | 0.330853i | ||||
\(967\) | 31295.4 | − | 37296.4i | 1.04074 | − | 1.24030i | 0.0706605 | − | 0.997500i | \(-0.477489\pi\) |
0.970076 | − | 0.242801i | \(-0.0780662\pi\) | |||||||
\(968\) | 5856.68 | + | 319.015i | 0.194464 | + | 0.0105925i | ||||
\(969\) | −40080.1 | + | 59200.8i | −1.32875 | + | 1.96265i | ||||
\(970\) | −25324.3 | − | 15240.0i | −0.838261 | − | 0.504460i | ||||
\(971\) | −3082.67 | − | 2586.67i | −0.101882 | − | 0.0854893i | 0.590424 | − | 0.807093i | \(-0.298961\pi\) |
−0.692306 | + | 0.721604i | \(0.743405\pi\) | |||||||
\(972\) | −28572.5 | − | 25797.8i | −0.942863 | − | 0.851301i | ||||
\(973\) | −6265.37 | − | 35532.7i | −0.206432 | − | 1.17073i | ||||
\(974\) | 12177.9 | + | 10600.8i | 0.400623 | + | 0.348738i | ||||
\(975\) | −12541.6 | + | 34457.7i | −0.411950 | + | 1.13182i | ||||
\(976\) | 20416.2 | + | 1483.90i | 0.669575 | + | 0.0486666i | ||||
\(977\) | 22632.7 | + | 13067.0i | 0.741131 | + | 0.427892i | 0.822480 | − | 0.568793i | \(-0.192590\pi\) |
−0.0813493 | + | 0.996686i | \(0.525923\pi\) | |||||||
\(978\) | −23982.5 | + | 3781.61i | −0.784127 | + | 0.123643i | ||||
\(979\) | 8818.60 | − | 7399.68i | 0.287889 | − | 0.241568i | ||||
\(980\) | 23912.6 | + | 867.873i | 0.779449 | + | 0.0282890i | ||||
\(981\) | 12362.1 | − | 7137.24i | 0.402334 | − | 0.232288i | ||||
\(982\) | −11756.4 | − | 14538.3i | −0.382038 | − | 0.472439i | ||||
\(983\) | −2201.24 | + | 12483.8i | −0.0714228 | + | 0.405059i | 0.928046 | + | 0.372466i | \(0.121488\pi\) |
−0.999469 | + | 0.0325929i | \(0.989624\pi\) | |||||||
\(984\) | 6675.89 | − | 805.764i | 0.216280 | − | 0.0261045i | ||||
\(985\) | 57159.0 | − | 20804.2i | 1.84897 | − | 0.672971i | ||||
\(986\) | −22634.0 | − | 65880.5i | −0.731048 | − | 2.12785i | ||||
\(987\) | 29831.8 | 0.962063 | ||||||||
\(988\) | 34115.9 | − | 2279.52i | 1.09855 | − | 0.0734021i | ||||
\(989\) | 1077.96 | 0.0346583 | ||||||||
\(990\) | 16945.7 | + | 49323.8i | 0.544011 | + | 1.58345i | ||||
\(991\) | 28290.6 | − | 10296.9i | 0.906841 | − | 0.330063i | 0.153850 | − | 0.988094i | \(-0.450833\pi\) |
0.752991 | + | 0.658031i | \(0.228611\pi\) | |||||||
\(992\) | −25104.2 | + | 17450.2i | −0.803487 | + | 0.558513i | ||||
\(993\) | 7421.21 | − | 42087.8i | 0.237165 | − | 1.34503i | ||||
\(994\) | 12961.5 | + | 16028.5i | 0.413595 | + | 0.511463i | ||||
\(995\) | 2907.95 | − | 1678.91i | 0.0926516 | − | 0.0534924i | ||||
\(996\) | −1736.57 | + | 47847.9i | −0.0552463 | + | 1.52221i | ||||
\(997\) | −27086.9 | + | 22728.6i | −0.860431 | + | 0.721987i | −0.962061 | − | 0.272835i | \(-0.912039\pi\) |
0.101630 | + | 0.994822i | \(0.467594\pi\) | |||||||
\(998\) | 16508.7 | − | 2603.13i | 0.523622 | − | 0.0825656i | ||||
\(999\) | 31031.9 | + | 17916.3i | 0.982787 | + | 0.567413i |
(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 | 76.4.k.a.3.3 | ✓ | 168 | |
4.3 | odd | 2 | inner | 76.4.k.a.3.13 | yes | 168 | |
19.13 | odd | 18 | inner | 76.4.k.a.51.13 | yes | 168 | |
76.51 | even | 18 | inner | 76.4.k.a.51.3 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.4.k.a.3.3 | ✓ | 168 | 1.1 | even | 1 | trivial | |
76.4.k.a.3.13 | yes | 168 | 4.3 | odd | 2 | inner | |
76.4.k.a.51.3 | yes | 168 | 76.51 | even | 18 | inner | |
76.4.k.a.51.13 | yes | 168 | 19.13 | odd | 18 | inner |