Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(3,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([33, 32]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.k (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Character | \(\chi\) | \(=\) | 230.3 |
Dual form | 230.3.k.a.77.6 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13214 | − | 0.847507i | −0.566068 | − | 0.423753i | ||||
\(3\) | −1.16785 | + | 0.435585i | −0.389283 | + | 0.145195i | −0.536482 | − | 0.843912i | \(-0.680247\pi\) |
0.147199 | + | 0.989107i | \(0.452974\pi\) | |||||||
\(4\) | 0.563465 | + | 1.91899i | 0.140866 | + | 0.479746i | ||||
\(5\) | −0.970697 | + | 4.90487i | −0.194139 | + | 0.980974i | ||||
\(6\) | 1.69133 | + | 0.496618i | 0.281888 | + | 0.0827696i | ||||
\(7\) | −1.47212 | + | 6.76723i | −0.210303 | + | 0.966748i | 0.744063 | + | 0.668109i | \(0.232896\pi\) |
−0.954366 | + | 0.298638i | \(0.903468\pi\) | |||||||
\(8\) | 0.988434 | − | 2.65009i | 0.123554 | − | 0.331262i | ||||
\(9\) | −5.62761 | + | 4.87635i | −0.625290 | + | 0.541817i | ||||
\(10\) | 5.25587 | − | 4.73031i | 0.525587 | − | 0.473031i | ||||
\(11\) | 2.87974 | − | 20.0290i | 0.261795 | − | 1.82082i | −0.257560 | − | 0.966262i | \(-0.582919\pi\) |
0.519355 | − | 0.854559i | \(-0.326172\pi\) | |||||||
\(12\) | −1.49392 | − | 1.99565i | −0.124494 | − | 0.166304i | ||||
\(13\) | −4.81784 | − | 22.1472i | −0.370603 | − | 1.70363i | −0.664074 | − | 0.747666i | \(-0.731174\pi\) |
0.293472 | − | 0.955968i | \(-0.405189\pi\) | |||||||
\(14\) | 7.40192 | − | 6.41380i | 0.528708 | − | 0.458128i | ||||
\(15\) | −1.00286 | − | 6.15097i | −0.0668574 | − | 0.410064i | ||||
\(16\) | −3.36501 | + | 2.16256i | −0.210313 | + | 0.135160i | ||||
\(17\) | −8.58281 | + | 4.68657i | −0.504871 | + | 0.275681i | −0.711434 | − | 0.702753i | \(-0.751954\pi\) |
0.206563 | + | 0.978433i | \(0.433772\pi\) | |||||||
\(18\) | 10.5040 | − | 0.751258i | 0.583553 | − | 0.0417366i | ||||
\(19\) | 4.79184 | + | 16.3195i | 0.252202 | + | 0.858921i | 0.984116 | + | 0.177524i | \(0.0568088\pi\) |
−0.731915 | + | 0.681396i | \(0.761373\pi\) | |||||||
\(20\) | −9.95933 | + | 0.900969i | −0.497967 | + | 0.0450485i | ||||
\(21\) | −1.22849 | − | 8.54434i | −0.0584996 | − | 0.406873i | ||||
\(22\) | −20.2350 | + | 20.2350i | −0.919772 | + | 0.919772i | ||||
\(23\) | −22.4924 | + | 4.80525i | −0.977932 | + | 0.208924i | ||||
\(24\) | 3.52546i | 0.146894i | ||||||||
\(25\) | −23.1155 | − | 9.52228i | −0.924620 | − | 0.380891i | ||||
\(26\) | −13.3155 | + | 29.1568i | −0.512134 | + | 1.12142i | ||||
\(27\) | 9.82431 | − | 17.9919i | 0.363863 | − | 0.666366i | ||||
\(28\) | −13.8157 | + | 0.988119i | −0.493418 | + | 0.0352900i | ||||
\(29\) | 11.5682 | − | 39.3978i | 0.398905 | − | 1.35855i | −0.478202 | − | 0.878250i | \(-0.658711\pi\) |
0.877107 | − | 0.480295i | \(-0.159470\pi\) | |||||||
\(30\) | −4.07761 | + | 7.81366i | −0.135920 | + | 0.260455i | ||||
\(31\) | −2.17305 | − | 4.75832i | −0.0700984 | − | 0.153494i | 0.871339 | − | 0.490681i | \(-0.163252\pi\) |
−0.941438 | + | 0.337187i | \(0.890525\pi\) | |||||||
\(32\) | 5.64244 | + | 0.403555i | 0.176326 | + | 0.0126111i | ||||
\(33\) | 5.36125 | + | 24.6452i | 0.162462 | + | 0.746826i | ||||
\(34\) | 13.6888 | + | 1.96815i | 0.402612 | + | 0.0578869i | ||||
\(35\) | −31.7634 | − | 13.7895i | −0.907526 | − | 0.393986i | ||||
\(36\) | −12.5286 | − | 8.05165i | −0.348017 | − | 0.223657i | ||||
\(37\) | −31.9169 | − | 2.28274i | −0.862620 | − | 0.0616958i | −0.366985 | − | 0.930227i | \(-0.619610\pi\) |
−0.495635 | + | 0.868531i | \(0.665065\pi\) | |||||||
\(38\) | 8.40587 | − | 22.5370i | 0.221207 | − | 0.593079i | ||||
\(39\) | 15.2735 | + | 23.7661i | 0.391629 | + | 0.609386i | ||||
\(40\) | 12.0389 | + | 7.42058i | 0.300972 | + | 0.185514i | ||||
\(41\) | 12.0005 | − | 13.8493i | 0.292694 | − | 0.337787i | −0.590289 | − | 0.807192i | \(-0.700986\pi\) |
0.882983 | + | 0.469405i | \(0.155532\pi\) | |||||||
\(42\) | −5.85057 | + | 10.7145i | −0.139299 | + | 0.255107i | ||||
\(43\) | −70.7046 | + | 26.3715i | −1.64429 | + | 0.613290i | −0.989760 | − | 0.142743i | \(-0.954408\pi\) |
−0.654534 | + | 0.756033i | \(0.727135\pi\) | |||||||
\(44\) | 40.0581 | − | 5.75948i | 0.910410 | − | 0.130897i | ||||
\(45\) | −18.4552 | − | 32.3362i | −0.410115 | − | 0.718581i | ||||
\(46\) | 29.5370 | + | 13.6223i | 0.642108 | + | 0.296137i | ||||
\(47\) | −43.6965 | + | 43.6965i | −0.929713 | + | 0.929713i | −0.997687 | − | 0.0679744i | \(-0.978346\pi\) |
0.0679744 | + | 0.997687i | \(0.478346\pi\) | |||||||
\(48\) | 2.98785 | − | 3.99130i | 0.0622468 | − | 0.0831520i | ||||
\(49\) | 0.943657 | + | 0.430954i | 0.0192583 | + | 0.00879497i | ||||
\(50\) | 18.0997 | + | 30.3711i | 0.361994 | + | 0.607421i | ||||
\(51\) | 7.98202 | − | 9.21175i | 0.156510 | − | 0.180622i | ||||
\(52\) | 39.7856 | − | 21.7246i | 0.765107 | − | 0.417780i | ||||
\(53\) | 46.0696 | + | 10.0218i | 0.869237 | + | 0.189091i | 0.625000 | − | 0.780625i | \(-0.285099\pi\) |
0.244237 | + | 0.969716i | \(0.421463\pi\) | |||||||
\(54\) | −26.3707 | + | 12.0431i | −0.488346 | + | 0.223020i | ||||
\(55\) | 95.4444 | + | 33.5669i | 1.73535 | + | 0.610307i | ||||
\(56\) | 16.4787 | + | 10.5902i | 0.294263 | + | 0.189111i | ||||
\(57\) | −12.7047 | − | 16.9714i | −0.222889 | − | 0.297745i | ||||
\(58\) | −46.4867 | + | 34.7995i | −0.801495 | + | 0.599992i | ||||
\(59\) | 30.1663 | − | 46.9397i | 0.511294 | − | 0.795589i | −0.485613 | − | 0.874174i | \(-0.661404\pi\) |
0.996907 | + | 0.0785847i | \(0.0250401\pi\) | |||||||
\(60\) | 11.2385 | − | 5.39033i | 0.187309 | − | 0.0898388i | ||||
\(61\) | −1.15464 | − | 2.52830i | −0.0189285 | − | 0.0414476i | 0.899932 | − | 0.436031i | \(-0.143616\pi\) |
−0.918860 | + | 0.394583i | \(0.870889\pi\) | |||||||
\(62\) | −1.57252 | + | 7.22874i | −0.0253632 | + | 0.116593i | ||||
\(63\) | −24.7149 | − | 45.2619i | −0.392300 | − | 0.718443i | ||||
\(64\) | −6.04600 | − | 5.23889i | −0.0944687 | − | 0.0818576i | ||||
\(65\) | 113.306 | − | 2.13260i | 1.74317 | − | 0.0328093i | ||||
\(66\) | 14.8174 | − | 32.4455i | 0.224505 | − | 0.491598i | ||||
\(67\) | −57.8369 | − | 43.2961i | −0.863237 | − | 0.646211i | 0.0730960 | − | 0.997325i | \(-0.476712\pi\) |
−0.936333 | + | 0.351114i | \(0.885803\pi\) | |||||||
\(68\) | −13.8296 | − | 13.8296i | −0.203376 | − | 0.203376i | ||||
\(69\) | 24.1747 | − | 15.4092i | 0.350358 | − | 0.223321i | ||||
\(70\) | 24.2738 | + | 42.5313i | 0.346769 | + | 0.607590i | ||||
\(71\) | −0.361667 | − | 2.51545i | −0.00509390 | − | 0.0354289i | 0.987116 | − | 0.160006i | \(-0.0511515\pi\) |
−0.992210 | + | 0.124578i | \(0.960242\pi\) | |||||||
\(72\) | 7.36027 | + | 19.7336i | 0.102226 | + | 0.274078i | ||||
\(73\) | 23.2879 | + | 12.7161i | 0.319012 | + | 0.174194i | 0.630774 | − | 0.775966i | \(-0.282737\pi\) |
−0.311762 | + | 0.950160i | \(0.600919\pi\) | |||||||
\(74\) | 34.1997 | + | 29.6342i | 0.462158 | + | 0.400462i | ||||
\(75\) | 31.1432 | + | 1.05182i | 0.415242 | + | 0.0140243i | ||||
\(76\) | −28.6168 | + | 18.3909i | −0.376537 | + | 0.241986i | ||||
\(77\) | 131.302 | + | 48.9730i | 1.70522 | + | 0.636013i | ||||
\(78\) | 2.85019 | − | 39.8508i | 0.0365409 | − | 0.510908i | ||||
\(79\) | −64.5201 | + | 100.395i | −0.816710 | + | 1.27083i | 0.142969 | + | 0.989727i | \(0.454335\pi\) |
−0.959679 | + | 0.281098i | \(0.909301\pi\) | |||||||
\(80\) | −7.34068 | − | 18.6041i | −0.0917585 | − | 0.232552i | ||||
\(81\) | 5.90128 | − | 41.0443i | 0.0728553 | − | 0.506720i | ||||
\(82\) | −25.3235 | + | 5.50879i | −0.308823 | + | 0.0671804i | ||||
\(83\) | −0.133228 | + | 1.86278i | −0.00160516 | + | 0.0224431i | −0.998192 | − | 0.0601131i | \(-0.980854\pi\) |
0.996586 | + | 0.0825562i | \(0.0263084\pi\) | |||||||
\(84\) | 15.7043 | − | 7.17189i | 0.186955 | − | 0.0853797i | ||||
\(85\) | −14.6557 | − | 46.6468i | −0.172420 | − | 0.548786i | ||||
\(86\) | 102.397 | + | 30.0665i | 1.19067 | + | 0.349611i | ||||
\(87\) | 3.65114 | + | 51.0496i | 0.0419671 | + | 0.586777i | ||||
\(88\) | −50.2324 | − | 27.4290i | −0.570822 | − | 0.311693i | ||||
\(89\) | −38.7633 | − | 17.7026i | −0.435543 | − | 0.198906i | 0.185563 | − | 0.982632i | \(-0.440589\pi\) |
−0.621106 | + | 0.783726i | \(0.713316\pi\) | |||||||
\(90\) | −6.51134 | + | 52.2498i | −0.0723482 | + | 0.580553i | ||||
\(91\) | 156.968 | 1.72492 | ||||||||
\(92\) | −21.8949 | − | 40.4551i | −0.237988 | − | 0.439729i | ||||
\(93\) | 4.61045 | + | 4.61045i | 0.0495747 | + | 0.0495747i | ||||
\(94\) | 86.5035 | − | 12.4373i | 0.920250 | − | 0.132312i | ||||
\(95\) | −84.6964 | + | 7.66205i | −0.891541 | + | 0.0806531i | ||||
\(96\) | −6.76530 | + | 1.98647i | −0.0704719 | + | 0.0206924i | ||||
\(97\) | −2.35554 | − | 32.9347i | −0.0242839 | − | 0.339533i | −0.995041 | − | 0.0994684i | \(-0.968286\pi\) |
0.970757 | − | 0.240065i | \(-0.0771687\pi\) | |||||||
\(98\) | −0.703112 | − | 1.28765i | −0.00717461 | − | 0.0131393i | ||||
\(99\) | 81.4625 | + | 126.758i | 0.822854 | + | 1.28039i | ||||
\(100\) | 5.24836 | − | 49.7238i | 0.0524836 | − | 0.497238i | ||||
\(101\) | −40.8477 | − | 47.1408i | −0.404433 | − | 0.466741i | 0.516599 | − | 0.856227i | \(-0.327198\pi\) |
−0.921032 | + | 0.389487i | \(0.872652\pi\) | |||||||
\(102\) | −16.8438 | + | 3.66413i | −0.165135 | + | 0.0359229i | ||||
\(103\) | −81.9328 | + | 61.3341i | −0.795464 | + | 0.595477i | −0.917814 | − | 0.397010i | \(-0.870048\pi\) |
0.122350 | + | 0.992487i | \(0.460957\pi\) | |||||||
\(104\) | −63.4544 | − | 9.12337i | −0.610138 | − | 0.0877247i | ||||
\(105\) | 43.1014 | + | 2.26838i | 0.410489 | + | 0.0216036i | ||||
\(106\) | −43.6635 | − | 50.3903i | −0.411920 | − | 0.475381i | ||||
\(107\) | 29.7589 | + | 11.0995i | 0.278120 | + | 0.103733i | 0.484654 | − | 0.874706i | \(-0.338946\pi\) |
−0.206534 | + | 0.978439i | \(0.566218\pi\) | |||||||
\(108\) | 40.0618 | + | 8.71492i | 0.370943 | + | 0.0806937i | ||||
\(109\) | −60.8191 | + | 207.131i | −0.557973 | + | 1.90028i | −0.145352 | + | 0.989380i | \(0.546432\pi\) |
−0.412621 | + | 0.910903i | \(0.635387\pi\) | |||||||
\(110\) | −79.6080 | − | 118.892i | −0.723709 | − | 1.08084i | ||||
\(111\) | 38.2685 | − | 11.2366i | 0.344761 | − | 0.101231i | ||||
\(112\) | −9.68086 | − | 25.9554i | −0.0864363 | − | 0.231745i | ||||
\(113\) | 52.0947 | − | 69.5904i | 0.461015 | − | 0.615844i | −0.508444 | − | 0.861095i | \(-0.669779\pi\) |
0.969460 | + | 0.245250i | \(0.0788702\pi\) | |||||||
\(114\) | 29.9813i | 0.262994i | ||||||||
\(115\) | −1.73577 | − | 114.987i | −0.0150936 | − | 0.999886i | ||||
\(116\) | 82.1221 | 0.707950 | ||||||||
\(117\) | 135.111 | + | 101.143i | 1.15479 | + | 0.864467i | ||||
\(118\) | −73.9342 | + | 27.5760i | −0.626561 | + | 0.233695i | ||||
\(119\) | −19.0802 | − | 64.9811i | −0.160338 | − | 0.546060i | ||||
\(120\) | −17.2919 | − | 3.42215i | −0.144099 | − | 0.0285179i | ||||
\(121\) | −276.770 | − | 81.2671i | −2.28736 | − | 0.671629i | ||||
\(122\) | −0.835546 | + | 3.84094i | −0.00684874 | + | 0.0314831i | ||||
\(123\) | −7.98218 | + | 21.4011i | −0.0648958 | + | 0.173992i | ||||
\(124\) | 7.90671 | − | 6.85120i | 0.0637638 | − | 0.0552516i | ||||
\(125\) | 69.1437 | − | 104.135i | 0.553150 | − | 0.833082i | ||||
\(126\) | −10.3792 | + | 72.1887i | −0.0823744 | + | 0.572926i | ||||
\(127\) | −5.83473 | − | 7.79429i | −0.0459428 | − | 0.0613723i | 0.776982 | − | 0.629523i | \(-0.216750\pi\) |
−0.822924 | + | 0.568151i | \(0.807659\pi\) | |||||||
\(128\) | 2.40490 | + | 11.0552i | 0.0187883 | + | 0.0863684i | ||||
\(129\) | 71.0853 | − | 61.5957i | 0.551049 | − | 0.477486i | ||||
\(130\) | −130.085 | − | 93.6132i | −1.00066 | − | 0.720102i | ||||
\(131\) | −152.032 | + | 97.7052i | −1.16055 | + | 0.745841i | −0.971713 | − | 0.236167i | \(-0.924109\pi\) |
−0.188839 | + | 0.982008i | \(0.560472\pi\) | |||||||
\(132\) | −44.2730 | + | 24.1749i | −0.335402 | + | 0.183143i | ||||
\(133\) | −117.492 | + | 8.40319i | −0.883398 | + | 0.0631819i | ||||
\(134\) | 28.7854 | + | 98.0342i | 0.214817 | + | 0.731599i | ||||
\(135\) | 78.7114 | + | 65.6517i | 0.583048 | + | 0.486309i | ||||
\(136\) | 3.93631 | + | 27.3776i | 0.0289434 | + | 0.201306i | ||||
\(137\) | 26.2426 | − | 26.2426i | 0.191552 | − | 0.191552i | −0.604814 | − | 0.796366i | \(-0.706753\pi\) |
0.796366 | + | 0.604814i | \(0.206753\pi\) | |||||||
\(138\) | −40.4284 | − | 3.04291i | −0.292959 | − | 0.0220501i | ||||
\(139\) | 4.41200i | 0.0317410i | 0.999874 | + | 0.0158705i | \(0.00505195\pi\) | ||||
−0.999874 | + | 0.0158705i | \(0.994948\pi\) | |||||||
\(140\) | 8.56428 | − | 68.7235i | 0.0611734 | − | 0.490882i | ||||
\(141\) | 31.9974 | − | 70.0644i | 0.226932 | − | 0.496911i | ||||
\(142\) | −1.72240 | + | 3.15435i | −0.0121296 | + | 0.0222137i | ||||
\(143\) | −457.462 | + | 32.7183i | −3.19903 | + | 0.228799i | ||||
\(144\) | 8.39157 | − | 28.5791i | 0.0582748 | − | 0.198466i | ||||
\(145\) | 182.012 | + | 94.9840i | 1.25525 | + | 0.655062i | ||||
\(146\) | −15.5880 | − | 34.1330i | −0.106767 | − | 0.233788i | ||||
\(147\) | −1.28977 | − | 0.0922458i | −0.00877391 | − | 0.000627523i | ||||
\(148\) | −13.6035 | − | 62.5344i | −0.0919157 | − | 0.422530i | ||||
\(149\) | 152.631 | + | 21.9450i | 1.02437 | + | 0.147282i | 0.633965 | − | 0.773362i | \(-0.281426\pi\) |
0.390404 | + | 0.920644i | \(0.372335\pi\) | |||||||
\(150\) | −34.3669 | − | 27.5848i | −0.229113 | − | 0.183899i | ||||
\(151\) | 207.214 | + | 133.168i | 1.37228 | + | 0.881908i | 0.998951 | − | 0.0457929i | \(-0.0145814\pi\) |
0.373324 | + | 0.927701i | \(0.378218\pi\) | |||||||
\(152\) | 47.9846 | + | 3.43193i | 0.315688 | + | 0.0225785i | ||||
\(153\) | 25.4473 | − | 68.2270i | 0.166323 | − | 0.445928i | ||||
\(154\) | −107.147 | − | 166.723i | −0.695757 | − | 1.08262i | ||||
\(155\) | 25.4483 | − | 6.03965i | 0.164183 | − | 0.0389655i | ||||
\(156\) | −37.0006 | + | 42.7010i | −0.237184 | + | 0.273724i | ||||
\(157\) | −127.758 | + | 233.971i | −0.813743 | + | 1.49026i | 0.0569203 | + | 0.998379i | \(0.481872\pi\) |
−0.870663 | + | 0.491880i | \(0.836310\pi\) | |||||||
\(158\) | 158.131 | − | 58.9799i | 1.00083 | − | 0.373290i | ||||
\(159\) | −58.1676 | + | 8.36325i | −0.365834 | + | 0.0525990i | ||||
\(160\) | −7.45649 | + | 27.2837i | −0.0466030 | + | 0.170523i | ||||
\(161\) | 0.593376 | − | 159.285i | 0.00368556 | − | 0.989351i | ||||
\(162\) | −41.4664 | + | 41.4664i | −0.255965 | + | 0.255965i | ||||
\(163\) | −29.8145 | + | 39.8275i | −0.182911 | + | 0.244341i | −0.882620 | − | 0.470088i | \(-0.844222\pi\) |
0.699709 | + | 0.714428i | \(0.253313\pi\) | |||||||
\(164\) | 33.3384 | + | 15.2251i | 0.203283 | + | 0.0928361i | ||||
\(165\) | −126.086 | + | 2.37314i | −0.764157 | + | 0.0143827i | ||||
\(166\) | 1.72955 | − | 1.99600i | 0.0104190 | − | 0.0120241i | ||||
\(167\) | −20.7517 | + | 11.3313i | −0.124262 | + | 0.0678521i | −0.540178 | − | 0.841551i | \(-0.681643\pi\) |
0.415916 | + | 0.909403i | \(0.363461\pi\) | |||||||
\(168\) | −23.8576 | − | 5.18990i | −0.142009 | − | 0.0308923i | ||||
\(169\) | −313.561 | + | 143.199i | −1.85539 | + | 0.847329i | ||||
\(170\) | −22.9412 | + | 65.2313i | −0.134948 | + | 0.383714i | ||||
\(171\) | −106.546 | − | 68.4731i | −0.623077 | − | 0.400427i | ||||
\(172\) | −90.4460 | − | 120.822i | −0.525849 | − | 0.702452i | ||||
\(173\) | 160.697 | − | 120.296i | 0.928885 | − | 0.695354i | −0.0236707 | − | 0.999720i | \(-0.507535\pi\) |
0.952555 | + | 0.304366i | \(0.0984444\pi\) | |||||||
\(174\) | 39.1313 | − | 60.8895i | 0.224893 | − | 0.349940i | ||||
\(175\) | 98.4683 | − | 142.410i | 0.562676 | − | 0.813771i | ||||
\(176\) | 33.6237 | + | 73.6256i | 0.191044 | + | 0.418327i | ||||
\(177\) | −14.7835 | + | 67.9585i | −0.0835225 | + | 0.383947i | ||||
\(178\) | 28.8823 | + | 52.8940i | 0.162260 | + | 0.297157i | ||||
\(179\) | −92.2298 | − | 79.9176i | −0.515250 | − | 0.446467i | 0.358012 | − | 0.933717i | \(-0.383455\pi\) |
−0.873263 | + | 0.487250i | \(0.838000\pi\) | |||||||
\(180\) | 51.6538 | − | 53.6355i | 0.286965 | − | 0.297975i | ||||
\(181\) | 1.83257 | − | 4.01276i | 0.0101247 | − | 0.0221700i | −0.904502 | − | 0.426469i | \(-0.859757\pi\) |
0.914627 | + | 0.404299i | \(0.132485\pi\) | |||||||
\(182\) | −177.709 | − | 133.031i | −0.976424 | − | 0.730942i | ||||
\(183\) | 2.44973 | + | 2.44973i | 0.0133865 | + | 0.0133865i | ||||
\(184\) | −9.49793 | + | 64.3567i | −0.0516192 | + | 0.349765i | ||||
\(185\) | 42.1782 | − | 154.333i | 0.227990 | − | 0.834230i | ||||
\(186\) | −1.31227 | − | 9.12704i | −0.00705522 | − | 0.0490701i | ||||
\(187\) | 69.1512 | + | 185.401i | 0.369792 | + | 0.991452i | ||||
\(188\) | −108.474 | − | 59.2315i | −0.576992 | − | 0.315061i | ||||
\(189\) | 107.293 | + | 92.9697i | 0.567686 | + | 0.491903i | ||||
\(190\) | 102.382 | + | 63.1063i | 0.538850 | + | 0.332138i | ||||
\(191\) | 35.6219 | − | 22.8928i | 0.186502 | − | 0.119858i | −0.444058 | − | 0.895998i | \(-0.646462\pi\) |
0.630560 | + | 0.776140i | \(0.282825\pi\) | |||||||
\(192\) | 9.34279 | + | 3.48468i | 0.0486604 | + | 0.0181494i | ||||
\(193\) | 16.6849 | − | 233.285i | 0.0864502 | − | 1.20873i | −0.750281 | − | 0.661119i | \(-0.770082\pi\) |
0.836731 | − | 0.547613i | \(-0.184464\pi\) | |||||||
\(194\) | −25.2456 | + | 39.2829i | −0.130132 | + | 0.202489i | ||||
\(195\) | −131.395 | + | 51.8450i | −0.673822 | + | 0.265872i | ||||
\(196\) | −0.295276 | + | 2.05369i | −0.00150651 | + | 0.0104780i | ||||
\(197\) | −190.582 | + | 41.4586i | −0.967423 | + | 0.210450i | −0.668405 | − | 0.743798i | \(-0.733023\pi\) |
−0.299018 | + | 0.954248i | \(0.596659\pi\) | |||||||
\(198\) | 15.2017 | − | 212.548i | 0.0767763 | − | 1.07347i | ||||
\(199\) | −274.927 | + | 125.555i | −1.38154 | + | 0.630930i | −0.961052 | − | 0.276367i | \(-0.910870\pi\) |
−0.420491 | + | 0.907297i | \(0.638142\pi\) | |||||||
\(200\) | −48.0831 | + | 51.8461i | −0.240415 | + | 0.259230i | ||||
\(201\) | 86.4038 | + | 25.3705i | 0.429870 | + | 0.126221i | ||||
\(202\) | 6.29306 | + | 87.9885i | 0.0311538 | + | 0.435587i | ||||
\(203\) | 249.584 | + | 136.283i | 1.22948 | + | 0.671347i | ||||
\(204\) | 22.1748 | + | 10.1269i | 0.108700 | + | 0.0496416i | ||||
\(205\) | 56.2800 | + | 72.3041i | 0.274537 | + | 0.352703i | ||||
\(206\) | 144.740 | 0.702622 | ||||||||
\(207\) | 103.147 | − | 136.723i | 0.498293 | − | 0.660498i | ||||
\(208\) | 64.1069 | + | 64.1069i | 0.308206 | + | 0.308206i | ||||
\(209\) | 340.663 | − | 48.9799i | 1.62997 | − | 0.234354i | ||||
\(210\) | −46.8742 | − | 39.0968i | −0.223210 | − | 0.186175i | ||||
\(211\) | −199.702 | + | 58.6379i | −0.946457 | + | 0.277905i | −0.718311 | − | 0.695722i | \(-0.755085\pi\) |
−0.228146 | + | 0.973627i | \(0.573266\pi\) | |||||||
\(212\) | 6.72686 | + | 94.0538i | 0.0317305 | + | 0.443650i | ||||
\(213\) | 1.51806 | + | 2.78013i | 0.00712706 | + | 0.0130522i | ||||
\(214\) | −24.2842 | − | 37.7870i | −0.113478 | − | 0.176575i | ||||
\(215\) | −60.7158 | − | 372.396i | −0.282399 | − | 1.73207i | ||||
\(216\) | −37.9695 | − | 43.8191i | −0.175785 | − | 0.202866i | ||||
\(217\) | 35.3996 | − | 7.70072i | 0.163132 | − | 0.0354872i | ||||
\(218\) | 244.400 | − | 182.956i | 1.12110 | − | 0.839246i | ||||
\(219\) | −32.7357 | − | 4.70668i | −0.149478 | − | 0.0214917i | ||||
\(220\) | −10.6347 | + | 202.070i | −0.0483397 | + | 0.918501i | ||||
\(221\) | 145.145 | + | 167.506i | 0.656766 | + | 0.757948i | ||||
\(222\) | −52.8483 | − | 19.7114i | −0.238055 | − | 0.0887900i | ||||
\(223\) | 369.679 | + | 80.4187i | 1.65775 | + | 0.360622i | 0.941446 | − | 0.337165i | \(-0.109468\pi\) |
0.716306 | + | 0.697787i | \(0.245832\pi\) | |||||||
\(224\) | −11.0373 | + | 37.5896i | −0.0492737 | + | 0.167811i | ||||
\(225\) | 176.519 | − | 59.1316i | 0.784529 | − | 0.262807i | ||||
\(226\) | −117.957 | + | 34.6352i | −0.521932 | + | 0.153253i | ||||
\(227\) | 48.9258 | + | 131.175i | 0.215532 | + | 0.577864i | 0.999053 | − | 0.0435012i | \(-0.0138512\pi\) |
−0.783521 | + | 0.621365i | \(0.786579\pi\) | |||||||
\(228\) | 25.4093 | − | 33.9429i | 0.111444 | − | 0.148872i | ||||
\(229\) | − | 238.088i | − | 1.03968i | −0.854262 | − | 0.519842i | \(-0.825991\pi\) | ||
0.854262 | − | 0.519842i | \(-0.174009\pi\) | |||||||
\(230\) | −95.4870 | + | 131.652i | −0.415161 | + | 0.572400i | ||||
\(231\) | −174.673 | −0.756158 | ||||||||
\(232\) | −92.9735 | − | 69.5991i | −0.400748 | − | 0.299996i | ||||
\(233\) | −199.674 | + | 74.4745i | −0.856969 | + | 0.319633i | −0.739264 | − | 0.673415i | \(-0.764827\pi\) |
−0.117705 | + | 0.993049i | \(0.537554\pi\) | |||||||
\(234\) | −67.2447 | − | 229.014i | −0.287370 | − | 0.978694i | ||||
\(235\) | −171.910 | − | 256.742i | −0.731530 | − | 1.09252i | ||||
\(236\) | 107.074 | + | 31.4399i | 0.453705 | + | 0.133220i | ||||
\(237\) | 31.6190 | − | 145.350i | 0.133414 | − | 0.613293i | ||||
\(238\) | −33.4705 | + | 89.7380i | −0.140633 | + | 0.377050i | ||||
\(239\) | −58.0439 | + | 50.2954i | −0.242862 | + | 0.210441i | −0.767783 | − | 0.640710i | \(-0.778640\pi\) |
0.524921 | + | 0.851151i | \(0.324095\pi\) | |||||||
\(240\) | 16.6765 | + | 18.5293i | 0.0694854 | + | 0.0772056i | ||||
\(241\) | 56.6410 | − | 393.947i | 0.235025 | − | 1.63463i | −0.440825 | − | 0.897593i | \(-0.645314\pi\) |
0.675849 | − | 0.737040i | \(-0.263777\pi\) | |||||||
\(242\) | 244.467 | + | 326.570i | 1.01020 | + | 1.34946i | ||||
\(243\) | 50.2036 | + | 230.782i | 0.206599 | + | 0.949721i | ||||
\(244\) | 4.20118 | − | 3.64034i | 0.0172179 | − | 0.0149194i | ||||
\(245\) | −3.02978 | + | 4.21019i | −0.0123664 | + | 0.0171844i | ||||
\(246\) | 27.1745 | − | 17.4640i | 0.110465 | − | 0.0709917i | ||||
\(247\) | 338.346 | − | 184.751i | 1.36982 | − | 0.747978i | ||||
\(248\) | −14.7579 | + | 1.05551i | −0.0595077 | + | 0.00425607i | ||||
\(249\) | −0.655807 | − | 2.23347i | −0.00263376 | − | 0.00896977i | ||||
\(250\) | −166.535 | + | 59.2955i | −0.666142 | + | 0.237182i | ||||
\(251\) | 34.4453 | + | 239.572i | 0.137232 | + | 0.954470i | 0.935791 | + | 0.352554i | \(0.114687\pi\) |
−0.798559 | + | 0.601916i | \(0.794404\pi\) | |||||||
\(252\) | 72.9310 | − | 72.9310i | 0.289409 | − | 0.289409i | ||||
\(253\) | 31.4721 | + | 464.339i | 0.124395 | + | 1.83533i | ||||
\(254\) | 13.7692i | 0.0542093i | ||||||||
\(255\) | 37.4343 | + | 48.0926i | 0.146801 | + | 0.188598i | ||||
\(256\) | 6.64664 | − | 14.5541i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 130.121 | − | 238.299i | 0.506308 | − | 0.927234i | −0.492084 | − | 0.870548i | \(-0.663765\pi\) |
0.998392 | − | 0.0566861i | \(-0.0180534\pi\) | |||||||
\(258\) | −132.681 | + | 9.48953i | −0.514268 | + | 0.0367811i | ||||
\(259\) | 62.4335 | − | 212.629i | 0.241056 | − | 0.820961i | ||||
\(260\) | 67.9364 | + | 216.231i | 0.261294 | + | 0.831658i | ||||
\(261\) | 127.016 | + | 278.126i | 0.486651 | + | 1.06562i | ||||
\(262\) | 254.927 | + | 18.2327i | 0.973004 | + | 0.0695906i | ||||
\(263\) | 25.4881 | + | 117.167i | 0.0969130 | + | 0.445502i | 0.999875 | + | 0.0157825i | \(0.00502392\pi\) |
−0.902962 | + | 0.429720i | \(0.858612\pi\) | |||||||
\(264\) | 70.6115 | + | 10.1524i | 0.267468 | + | 0.0384560i | ||||
\(265\) | −93.8753 | + | 216.237i | −0.354247 | + | 0.815989i | ||||
\(266\) | 140.139 | + | 90.0617i | 0.526837 | + | 0.338578i | ||||
\(267\) | 52.9807 | + | 3.78926i | 0.198430 | + | 0.0141920i | ||||
\(268\) | 50.4956 | − | 135.384i | 0.188416 | − | 0.505164i | ||||
\(269\) | −33.0325 | − | 51.3995i | −0.122797 | − | 0.191076i | 0.774412 | − | 0.632681i | \(-0.218046\pi\) |
−0.897210 | + | 0.441605i | \(0.854409\pi\) | |||||||
\(270\) | −33.4719 | − | 141.035i | −0.123970 | − | 0.522352i | ||||
\(271\) | 152.200 | − | 175.648i | 0.561622 | − | 0.648147i | −0.401929 | − | 0.915671i | \(-0.631660\pi\) |
0.963551 | + | 0.267524i | \(0.0862055\pi\) | |||||||
\(272\) | 18.7463 | − | 34.3312i | 0.0689201 | − | 0.126218i | ||||
\(273\) | −183.315 | + | 68.3729i | −0.671483 | + | 0.250450i | ||||
\(274\) | −51.9510 | + | 7.46943i | −0.189602 | + | 0.0272607i | ||||
\(275\) | −257.289 | + | 435.559i | −0.935595 | + | 1.58385i | ||||
\(276\) | 43.1916 | + | 37.7083i | 0.156491 | + | 0.136624i | ||||
\(277\) | 83.5198 | − | 83.5198i | 0.301516 | − | 0.301516i | −0.540091 | − | 0.841607i | \(-0.681610\pi\) |
0.841607 | + | 0.540091i | \(0.181610\pi\) | |||||||
\(278\) | 3.73920 | − | 4.99499i | 0.0134504 | − | 0.0179676i | ||||
\(279\) | 35.4323 | + | 16.1814i | 0.126998 | + | 0.0579978i | ||||
\(280\) | −67.9395 | + | 70.5460i | −0.242641 | + | 0.251950i | ||||
\(281\) | −237.793 | + | 274.428i | −0.846238 | + | 0.976610i | −0.999934 | − | 0.0115077i | \(-0.996337\pi\) |
0.153696 | + | 0.988118i | \(0.450882\pi\) | |||||||
\(282\) | −95.6054 | + | 52.2045i | −0.339026 | + | 0.185122i | ||||
\(283\) | −38.2504 | − | 8.32087i | −0.135160 | − | 0.0294024i | 0.144476 | − | 0.989508i | \(-0.453850\pi\) |
−0.279637 | + | 0.960106i | \(0.590214\pi\) | |||||||
\(284\) | 4.62333 | − | 2.11140i | 0.0162793 | − | 0.00743452i | ||||
\(285\) | 95.5751 | − | 45.8406i | 0.335351 | − | 0.160844i | ||||
\(286\) | 545.638 | + | 350.660i | 1.90783 | + | 1.22609i | ||||
\(287\) | 76.0551 | + | 101.598i | 0.265000 | + | 0.353999i | ||||
\(288\) | −33.7213 | + | 25.2435i | −0.117088 | + | 0.0876510i | ||||
\(289\) | −104.544 | + | 162.674i | −0.361746 | + | 0.562887i | ||||
\(290\) | −125.563 | − | 261.791i | −0.432975 | − | 0.902728i | ||||
\(291\) | 17.0968 | + | 37.4367i | 0.0587519 | + | 0.128649i | ||||
\(292\) | −11.2802 | + | 51.8542i | −0.0386308 | + | 0.177583i | ||||
\(293\) | 15.3295 | + | 28.0739i | 0.0523191 | + | 0.0958154i | 0.902530 | − | 0.430627i | \(-0.141707\pi\) |
−0.850211 | + | 0.526442i | \(0.823526\pi\) | |||||||
\(294\) | 1.38201 | + | 1.19752i | 0.00470072 | + | 0.00407319i | ||||
\(295\) | 200.951 | + | 193.526i | 0.681190 | + | 0.656021i | ||||
\(296\) | −37.5973 | + | 82.3265i | −0.127018 | + | 0.278130i | ||||
\(297\) | −332.069 | − | 248.583i | −1.11808 | − | 0.836981i | ||||
\(298\) | −154.201 | − | 154.201i | −0.517451 | − | 0.517451i | ||||
\(299\) | 214.788 | + | 474.995i | 0.718354 | + | 1.58861i | ||||
\(300\) | 15.5297 | + | 60.3560i | 0.0517655 | + | 0.201187i | ||||
\(301\) | −74.3760 | − | 517.297i | −0.247096 | − | 1.71859i | ||||
\(302\) | −121.733 | − | 326.379i | −0.403090 | − | 1.08073i | ||||
\(303\) | 68.2378 | + | 37.2607i | 0.225207 | + | 0.122972i | ||||
\(304\) | −51.4165 | − | 44.5527i | −0.169133 | − | 0.146555i | ||||
\(305\) | 13.5218 | − | 3.20913i | 0.0443337 | − | 0.0105217i | ||||
\(306\) | −86.6327 | + | 55.6754i | −0.283113 | + | 0.181946i | ||||
\(307\) | −21.6108 | − | 8.06041i | −0.0703934 | − | 0.0262554i | 0.314021 | − | 0.949416i | \(-0.398324\pi\) |
−0.384414 | + | 0.923161i | \(0.625597\pi\) | |||||||
\(308\) | −19.9946 | + | 279.561i | −0.0649175 | + | 0.907665i | ||||
\(309\) | 68.9689 | − | 107.318i | 0.223200 | − | 0.347306i | ||||
\(310\) | −33.9296 | − | 14.7299i | −0.109450 | − | 0.0475158i | ||||
\(311\) | 27.7024 | − | 192.674i | 0.0890752 | − | 0.619532i | −0.895564 | − | 0.444932i | \(-0.853228\pi\) |
0.984640 | − | 0.174600i | \(-0.0558631\pi\) | |||||||
\(312\) | 78.0791 | − | 16.9851i | 0.250254 | − | 0.0544393i | ||||
\(313\) | 42.1871 | − | 589.853i | 0.134783 | − | 1.88452i | −0.259810 | − | 0.965660i | \(-0.583660\pi\) |
0.394593 | − | 0.918856i | \(-0.370885\pi\) | |||||||
\(314\) | 342.931 | − | 156.611i | 1.09214 | − | 0.498762i | ||||
\(315\) | 245.995 | − | 77.2877i | 0.780935 | − | 0.245358i | ||||
\(316\) | −229.012 | − | 67.2439i | −0.724721 | − | 0.212797i | ||||
\(317\) | −26.3117 | − | 367.886i | −0.0830024 | − | 1.16052i | −0.852800 | − | 0.522237i | \(-0.825098\pi\) |
0.769798 | − | 0.638288i | \(-0.220357\pi\) | |||||||
\(318\) | 72.9416 | + | 39.8291i | 0.229376 | + | 0.125249i | ||||
\(319\) | −755.786 | − | 345.156i | −2.36924 | − | 1.08199i | ||||
\(320\) | 31.5649 | − | 24.5695i | 0.0986403 | − | 0.0767795i | ||||
\(321\) | −39.5886 | −0.123329 | ||||||||
\(322\) | −135.667 | + | 179.830i | −0.421327 | + | 0.558478i | ||||
\(323\) | −117.610 | − | 117.610i | −0.364117 | − | 0.364117i | ||||
\(324\) | 82.0886 | − | 11.8026i | 0.253360 | − | 0.0364276i | ||||
\(325\) | −99.5257 | + | 557.821i | −0.306233 | + | 1.71637i | ||||
\(326\) | 67.5082 | − | 19.8222i | 0.207080 | − | 0.0608043i | ||||
\(327\) | −19.1956 | − | 268.389i | −0.0587021 | − | 0.820763i | ||||
\(328\) | −24.8402 | − | 45.4914i | −0.0757323 | − | 0.138693i | ||||
\(329\) | −231.378 | − | 360.031i | −0.703276 | − | 1.09432i | ||||
\(330\) | 144.758 | + | 104.172i | 0.438660 | + | 0.315672i | ||||
\(331\) | 32.3184 | + | 37.2974i | 0.0976387 | + | 0.112681i | 0.802466 | − | 0.596698i | \(-0.203521\pi\) |
−0.704827 | + | 0.709379i | \(0.748975\pi\) | |||||||
\(332\) | −3.64971 | + | 0.793946i | −0.0109931 | + | 0.00239140i | ||||
\(333\) | 190.747 | − | 142.792i | 0.572815 | − | 0.428804i | ||||
\(334\) | 33.0971 | + | 4.75865i | 0.0990932 | + | 0.0142475i | ||||
\(335\) | 268.504 | − | 241.655i | 0.801504 | − | 0.721358i | ||||
\(336\) | 22.6116 | + | 26.0951i | 0.0672963 | + | 0.0776641i | ||||
\(337\) | −98.7925 | − | 36.8477i | −0.293153 | − | 0.109340i | 0.198585 | − | 0.980084i | \(-0.436365\pi\) |
−0.491738 | + | 0.870743i | \(0.663638\pi\) | |||||||
\(338\) | 476.356 | + | 103.625i | 1.40934 | + | 0.306582i | ||||
\(339\) | −30.5262 | + | 103.963i | −0.0900479 | + | 0.306675i | ||||
\(340\) | 81.2566 | − | 54.4079i | 0.238990 | − | 0.160023i | ||||
\(341\) | −101.562 | + | 29.8214i | −0.297837 | + | 0.0874528i | ||||
\(342\) | 62.5934 | + | 167.819i | 0.183022 | + | 0.490700i | ||||
\(343\) | −207.670 | + | 277.415i | −0.605453 | + | 0.808790i | ||||
\(344\) | 213.440i | 0.620466i | ||||||||
\(345\) | 52.1137 | + | 133.531i | 0.151054 | + | 0.387047i | ||||
\(346\) | −283.883 | −0.820471 | ||||||||
\(347\) | 120.612 | + | 90.2891i | 0.347585 | + | 0.260199i | 0.758778 | − | 0.651349i | \(-0.225797\pi\) |
−0.411193 | + | 0.911548i | \(0.634888\pi\) | |||||||
\(348\) | −95.9062 | + | 35.7712i | −0.275593 | + | 0.102791i | ||||
\(349\) | −55.5740 | − | 189.268i | −0.159238 | − | 0.542314i | −1.00000 | 0.000908995i | \(-0.999711\pi\) | |
0.840762 | − | 0.541405i | \(-0.182108\pi\) | |||||||
\(350\) | −232.173 | + | 77.7749i | −0.663351 | + | 0.222214i | ||||
\(351\) | −445.803 | − | 130.899i | −1.27009 | − | 0.372933i | ||||
\(352\) | 24.3316 | − | 111.850i | 0.0691238 | − | 0.317757i | ||||
\(353\) | −214.127 | + | 574.098i | −0.606593 | + | 1.62634i | 0.162139 | + | 0.986768i | \(0.448161\pi\) |
−0.768732 | + | 0.639571i | \(0.779112\pi\) | |||||||
\(354\) | 74.3322 | − | 64.4092i | 0.209978 | − | 0.181947i | ||||
\(355\) | 12.6890 | + | 0.667810i | 0.0357437 | + | 0.00188115i | ||||
\(356\) | 12.1293 | − | 84.3611i | 0.0340711 | − | 0.236969i | ||||
\(357\) | 50.5875 | + | 67.5770i | 0.141702 | + | 0.189291i | ||||
\(358\) | 36.6860 | + | 168.643i | 0.102475 | + | 0.471070i | ||||
\(359\) | −10.6304 | + | 9.21133i | −0.0296113 | + | 0.0256583i | −0.669541 | − | 0.742775i | \(-0.733509\pi\) |
0.639929 | + | 0.768434i | \(0.278964\pi\) | |||||||
\(360\) | −103.936 | + | 16.9458i | −0.288710 | + | 0.0470716i | ||||
\(361\) | 60.3284 | − | 38.7707i | 0.167115 | − | 0.107398i | ||||
\(362\) | −5.47556 | + | 2.98988i | −0.0151259 | + | 0.00825934i | ||||
\(363\) | 358.625 | − | 25.6494i | 0.987947 | − | 0.0706594i | ||||
\(364\) | 88.4460 | + | 301.219i | 0.242984 | + | 0.827526i | ||||
\(365\) | −84.9765 | + | 101.881i | −0.232812 | + | 0.279125i | ||||
\(366\) | −0.697266 | − | 4.84959i | −0.00190510 | − | 0.0132503i | ||||
\(367\) | 21.5411 | − | 21.5411i | 0.0586950 | − | 0.0586950i | −0.677150 | − | 0.735845i | \(-0.736785\pi\) |
0.735845 | + | 0.677150i | \(0.236785\pi\) | |||||||
\(368\) | 65.2957 | − | 64.8110i | 0.177434 | − | 0.176117i | ||||
\(369\) | 136.457i | 0.369801i | ||||||||
\(370\) | −178.549 | + | 138.979i | −0.482566 | + | 0.375619i | ||||
\(371\) | −135.640 | + | 297.010i | −0.365607 | + | 0.800567i | ||||
\(372\) | −6.24956 | + | 11.4452i | −0.0167999 | + | 0.0307667i | ||||
\(373\) | 414.043 | − | 29.6130i | 1.11004 | − | 0.0793913i | 0.495743 | − | 0.868469i | \(-0.334896\pi\) |
0.614293 | + | 0.789078i | \(0.289441\pi\) | |||||||
\(374\) | 78.8404 | − | 268.506i | 0.210803 | − | 0.717930i | ||||
\(375\) | −35.3896 | + | 151.732i | −0.0943724 | + | 0.404619i | ||||
\(376\) | 72.6087 | + | 158.991i | 0.193108 | + | 0.422848i | ||||
\(377\) | −928.287 | − | 66.3924i | −2.46230 | − | 0.176107i | ||||
\(378\) | −42.6776 | − | 196.186i | −0.112904 | − | 0.519010i | ||||
\(379\) | 407.651 | + | 58.6114i | 1.07560 | + | 0.154647i | 0.657274 | − | 0.753651i | \(-0.271709\pi\) |
0.418322 | + | 0.908299i | \(0.362618\pi\) | |||||||
\(380\) | −62.4268 | − | 158.214i | −0.164281 | − | 0.416352i | ||||
\(381\) | 10.2092 | + | 6.56103i | 0.0267957 | + | 0.0172205i | ||||
\(382\) | −59.7306 | − | 4.27202i | −0.156363 | − | 0.0111833i | ||||
\(383\) | 207.694 | − | 556.850i | 0.542282 | − | 1.45392i | −0.319966 | − | 0.947429i | \(-0.603671\pi\) |
0.862248 | − | 0.506486i | \(-0.169056\pi\) | |||||||
\(384\) | −7.62402 | − | 11.8632i | −0.0198542 | − | 0.0308938i | ||||
\(385\) | −367.661 | + | 596.480i | −0.954963 | + | 1.54930i | ||||
\(386\) | −216.600 | + | 249.970i | −0.561141 | + | 0.647591i | ||||
\(387\) | 269.301 | − | 493.189i | 0.695869 | − | 1.27439i | ||||
\(388\) | 61.8740 | − | 23.0778i | 0.159469 | − | 0.0594789i | ||||
\(389\) | 356.667 | − | 51.2810i | 0.916882 | − | 0.131828i | 0.332311 | − | 0.943170i | \(-0.392172\pi\) |
0.584572 | + | 0.811342i | \(0.301263\pi\) | |||||||
\(390\) | 192.696 | + | 52.6629i | 0.494093 | + | 0.135033i | ||||
\(391\) | 170.528 | − | 146.655i | 0.436133 | − | 0.375076i | ||||
\(392\) | 2.07481 | − | 2.07481i | 0.00529288 | − | 0.00529288i | ||||
\(393\) | 134.992 | − | 180.328i | 0.343490 | − | 0.458850i | ||||
\(394\) | 250.902 | + | 114.583i | 0.636806 | + | 0.290820i | ||||
\(395\) | −429.796 | − | 413.916i | −1.08809 | − | 1.04789i | ||||
\(396\) | −197.346 | + | 227.749i | −0.498348 | + | 0.575124i | ||||
\(397\) | 241.192 | − | 131.701i | 0.607537 | − | 0.331740i | −0.145861 | − | 0.989305i | \(-0.546595\pi\) |
0.753398 | + | 0.657565i | \(0.228413\pi\) | |||||||
\(398\) | 417.664 | + | 90.8572i | 1.04941 | + | 0.228284i | ||||
\(399\) | 133.553 | − | 60.9914i | 0.334718 | − | 0.152861i | ||||
\(400\) | 98.3765 | − | 17.9461i | 0.245941 | − | 0.0448652i | ||||
\(401\) | −480.759 | − | 308.965i | −1.19890 | − | 0.770486i | −0.220134 | − | 0.975470i | \(-0.570649\pi\) |
−0.978765 | + | 0.204984i | \(0.934286\pi\) | |||||||
\(402\) | −76.3193 | − | 101.951i | −0.189849 | − | 0.253609i | ||||
\(403\) | −94.9142 | + | 71.0519i | −0.235519 | + | 0.176307i | ||||
\(404\) | 67.4463 | − | 104.948i | 0.166946 | − | 0.259773i | ||||
\(405\) | 195.589 | + | 68.7866i | 0.482935 | + | 0.169843i | ||||
\(406\) | −167.062 | − | 365.816i | −0.411484 | − | 0.901024i | ||||
\(407\) | −137.634 | + | 632.691i | −0.338166 | + | 1.55452i | ||||
\(408\) | −16.5223 | − | 30.2583i | −0.0404958 | − | 0.0741625i | ||||
\(409\) | −256.260 | − | 222.051i | −0.626553 | − | 0.542911i | 0.282672 | − | 0.959217i | \(-0.408779\pi\) |
−0.909225 | + | 0.416305i | \(0.863325\pi\) | |||||||
\(410\) | −2.43845 | − | 129.556i | −0.00594744 | − | 0.315990i | ||||
\(411\) | −19.2165 | + | 42.0783i | −0.0467555 | + | 0.102380i | ||||
\(412\) | −163.866 | − | 122.668i | −0.397732 | − | 0.297738i | ||||
\(413\) | 273.244 | + | 273.244i | 0.661607 | + | 0.661607i | ||||
\(414\) | −232.650 | + | 67.3717i | −0.561956 | + | 0.162734i | ||||
\(415\) | −9.00735 | − | 2.46166i | −0.0217045 | − | 0.00593171i | ||||
\(416\) | −18.2467 | − | 126.909i | −0.0438623 | − | 0.305069i | ||||
\(417\) | −1.92180 | − | 5.15255i | −0.00460864 | − | 0.0123562i | ||||
\(418\) | −427.188 | − | 233.262i | −1.02198 | − | 0.558043i | ||||
\(419\) | −448.944 | − | 389.012i | −1.07146 | − | 0.928430i | −0.0738372 | − | 0.997270i | \(-0.523525\pi\) |
−0.997628 | + | 0.0688407i | \(0.978070\pi\) | |||||||
\(420\) | 19.9331 | + | 83.9891i | 0.0474598 | + | 0.199974i | ||||
\(421\) | 232.236 | − | 149.249i | 0.551628 | − | 0.354510i | −0.234943 | − | 0.972009i | \(-0.575490\pi\) |
0.786572 | + | 0.617499i | \(0.211854\pi\) | |||||||
\(422\) | 275.786 | + | 102.863i | 0.653522 | + | 0.243751i | ||||
\(423\) | 32.8273 | − | 458.986i | 0.0776060 | − | 1.08507i | ||||
\(424\) | 72.0955 | − | 112.183i | 0.170037 | − | 0.264582i | ||||
\(425\) | 243.023 | − | 26.6044i | 0.571818 | − | 0.0625986i | ||||
\(426\) | 0.637521 | − | 4.43405i | 0.00149653 | − | 0.0104086i | ||||
\(427\) | 18.8094 | − | 4.09173i | 0.0440500 | − | 0.00958250i | ||||
\(428\) | −4.53167 | + | 63.3610i | −0.0105880 | + | 0.148040i | ||||
\(429\) | 519.995 | − | 237.474i | 1.21211 | − | 0.553552i | ||||
\(430\) | −246.869 | + | 473.060i | −0.574114 | + | 1.10014i | ||||
\(431\) | −116.718 | − | 34.2715i | −0.270807 | − | 0.0795162i | 0.143509 | − | 0.989649i | \(-0.454161\pi\) |
−0.414317 | + | 0.910133i | \(0.635979\pi\) | |||||||
\(432\) | 5.84964 | + | 81.7887i | 0.0135408 | + | 0.189326i | ||||
\(433\) | 362.352 | + | 197.859i | 0.836841 | + | 0.456950i | 0.839703 | − | 0.543046i | \(-0.182729\pi\) |
−0.00286202 | + | 0.999996i | \(0.500911\pi\) | |||||||
\(434\) | −46.6036 | − | 21.2832i | −0.107382 | − | 0.0490396i | ||||
\(435\) | −253.936 | − | 31.6454i | −0.583761 | − | 0.0727479i | ||||
\(436\) | −431.751 | −0.990254 | ||||||||
\(437\) | −186.199 | − | 344.039i | −0.426085 | − | 0.787275i | ||||
\(438\) | 33.0723 | + | 33.0723i | 0.0755076 | + | 0.0755076i | ||||
\(439\) | −284.535 | + | 40.9099i | −0.648143 | + | 0.0931889i | −0.458543 | − | 0.888672i | \(-0.651628\pi\) |
−0.189601 | + | 0.981861i | \(0.560719\pi\) | |||||||
\(440\) | 183.296 | − | 219.758i | 0.416582 | − | 0.499450i | ||||
\(441\) | −7.41201 | + | 2.17636i | −0.0168073 | + | 0.00493506i | ||||
\(442\) | −22.3613 | − | 312.652i | −0.0505911 | − | 0.707357i | ||||
\(443\) | −167.140 | − | 306.093i | −0.377290 | − | 0.690956i | 0.618179 | − | 0.786037i | \(-0.287871\pi\) |
−0.995469 | + | 0.0950817i | \(0.969689\pi\) | |||||||
\(444\) | 43.1259 | + | 67.1052i | 0.0971304 | + | 0.151138i | ||||
\(445\) | 124.457 | − | 172.945i | 0.279678 | − | 0.388641i | ||||
\(446\) | −350.371 | − | 404.350i | −0.785586 | − | 0.906614i | ||||
\(447\) | −187.809 | + | 40.8553i | −0.420154 | + | 0.0913989i | ||||
\(448\) | 44.3532 | − | 33.2024i | 0.0990027 | − | 0.0741125i | ||||
\(449\) | −39.2122 | − | 5.63786i | −0.0873322 | − | 0.0125565i | 0.0985102 | − | 0.995136i | \(-0.468592\pi\) |
−0.185842 | + | 0.982580i | \(0.559501\pi\) | |||||||
\(450\) | −249.958 | − | 82.6560i | −0.555462 | − | 0.183680i | ||||
\(451\) | −242.829 | − | 280.240i | −0.538424 | − | 0.621374i | ||||
\(452\) | 162.897 | + | 60.7573i | 0.360391 | + | 0.134419i | ||||
\(453\) | −300.000 | − | 65.2610i | −0.662252 | − | 0.144064i | ||||
\(454\) | 55.7811 | − | 189.973i | 0.122866 | − | 0.418443i | ||||
\(455\) | −152.368 | + | 769.908i | −0.334876 | + | 1.69210i | ||||
\(456\) | −57.5337 | + | 16.8934i | −0.126170 | + | 0.0370469i | ||||
\(457\) | 166.963 | + | 447.646i | 0.365347 | + | 0.979532i | 0.981425 | + | 0.191847i | \(0.0614478\pi\) |
−0.616078 | + | 0.787685i | \(0.711279\pi\) | |||||||
\(458\) | −201.781 | + | 269.548i | −0.440570 | + | 0.588532i | ||||
\(459\) | 200.463i | 0.436739i | ||||||||
\(460\) | 219.680 | − | 68.1220i | 0.477566 | − | 0.148091i | ||||
\(461\) | −245.241 | −0.531976 | −0.265988 | − | 0.963976i | \(-0.585698\pi\) | ||||
−0.265988 | + | 0.963976i | \(0.585698\pi\) | |||||||
\(462\) | 197.753 | + | 148.036i | 0.428037 | + | 0.320425i | ||||
\(463\) | −377.189 | + | 140.684i | −0.814663 | + | 0.303854i | −0.722043 | − | 0.691848i | \(-0.756797\pi\) |
−0.0926197 | + | 0.995702i | \(0.529524\pi\) | |||||||
\(464\) | 46.2730 | + | 157.591i | 0.0997262 | + | 0.339636i | ||||
\(465\) | −27.0890 | + | 18.1383i | −0.0582559 | + | 0.0390071i | ||||
\(466\) | 289.176 | + | 84.9096i | 0.620549 | + | 0.182210i | ||||
\(467\) | 52.8937 | − | 243.148i | 0.113263 | − | 0.520660i | −0.885199 | − | 0.465213i | \(-0.845978\pi\) |
0.998462 | − | 0.0554474i | \(-0.0176585\pi\) | |||||||
\(468\) | −117.961 | + | 316.266i | −0.252054 | + | 0.675782i | ||||
\(469\) | 378.138 | − | 327.658i | 0.806264 | − | 0.698632i | ||||
\(470\) | −22.9652 | + | 436.361i | −0.0488622 | + | 0.928428i | ||||
\(471\) | 47.2875 | − | 328.892i | 0.100398 | − | 0.698284i | ||||
\(472\) | −94.5773 | − | 126.340i | −0.200376 | − | 0.267671i | ||||
\(473\) | 324.584 | + | 1492.09i | 0.686224 | + | 3.15452i | ||||
\(474\) | −158.983 | + | 137.759i | −0.335406 | + | 0.290631i | ||||
\(475\) | 44.6332 | − | 422.862i | 0.0939647 | − | 0.890237i | ||||
\(476\) | 113.947 | − | 73.2291i | 0.239384 | − | 0.153843i | ||||
\(477\) | −308.132 | + | 168.253i | −0.645978 | + | 0.352731i | ||||
\(478\) | 108.339 | − | 7.74858i | 0.226651 | − | 0.0162104i | ||||
\(479\) | 1.83030 | + | 6.23343i | 0.00382109 | + | 0.0130134i | 0.961381 | − | 0.275219i | \(-0.0887505\pi\) |
−0.957560 | + | 0.288233i | \(0.906932\pi\) | |||||||
\(480\) | −3.17633 | − | 35.1112i | −0.00661735 | − | 0.0731483i | ||||
\(481\) | 103.214 | + | 717.870i | 0.214582 | + | 1.49245i | ||||
\(482\) | −397.998 | + | 397.998i | −0.825721 | + | 0.825721i | ||||
\(483\) | 68.6894 | + | 186.280i | 0.142214 | + | 0.385672i | ||||
\(484\) | − | 576.910i | − | 1.19196i | ||||||
\(485\) | 163.827 | + | 20.4160i | 0.337788 | + | 0.0420949i | ||||
\(486\) | 138.752 | − | 303.825i | 0.285498 | − | 0.625154i | ||||
\(487\) | −96.6453 | + | 176.993i | −0.198450 | + | 0.363435i | −0.957886 | − | 0.287147i | \(-0.907293\pi\) |
0.759436 | + | 0.650582i | \(0.225475\pi\) | |||||||
\(488\) | −7.84152 | + | 0.560836i | −0.0160687 | + | 0.00114925i | ||||
\(489\) | 17.4706 | − | 59.4993i | 0.0357271 | − | 0.121675i | ||||
\(490\) | 6.99828 | − | 2.19875i | 0.0142822 | − | 0.00448725i | ||||
\(491\) | −96.9260 | − | 212.238i | −0.197405 | − | 0.432257i | 0.784880 | − | 0.619647i | \(-0.212724\pi\) |
−0.982286 | + | 0.187390i | \(0.939997\pi\) | |||||||
\(492\) | −45.5660 | − | 3.25895i | −0.0926139 | − | 0.00662387i | ||||
\(493\) | 85.3525 | + | 392.359i | 0.173129 | + | 0.795861i | ||||
\(494\) | −539.631 | − | 77.5872i | −1.09237 | − | 0.157059i | ||||
\(495\) | −700.808 | + | 276.519i | −1.41577 | + | 0.558625i | ||||
\(496\) | 17.6025 | + | 11.3124i | 0.0354889 | + | 0.0228074i | ||||
\(497\) | 17.5551 | + | 1.25556i | 0.0353220 | + | 0.00252628i | ||||
\(498\) | −1.15042 | + | 3.08440i | −0.00231008 | + | 0.00619357i | ||||
\(499\) | 102.845 | + | 160.030i | 0.206102 | + | 0.320701i | 0.928881 | − | 0.370378i | \(-0.120772\pi\) |
−0.722779 | + | 0.691079i | \(0.757136\pi\) | |||||||
\(500\) | 238.794 | + | 74.0092i | 0.477588 | + | 0.148018i | ||||
\(501\) | 19.2991 | − | 22.2724i | 0.0385212 | − | 0.0444559i | ||||
\(502\) | 164.042 | − | 300.421i | 0.326777 | − | 0.598448i | ||||
\(503\) | 498.783 | − | 186.036i | 0.991616 | − | 0.369854i | 0.199283 | − | 0.979942i | \(-0.436139\pi\) |
0.792334 | + | 0.610088i | \(0.208866\pi\) | |||||||
\(504\) | −144.377 | + | 20.7583i | −0.286463 | + | 0.0411872i | ||||
\(505\) | 270.870 | − | 154.593i | 0.536377 | − | 0.306125i | ||||
\(506\) | 357.900 | − | 552.368i | 0.707313 | − | 1.09164i | ||||
\(507\) | 303.817 | − | 303.817i | 0.599244 | − | 0.599244i | ||||
\(508\) | 11.6695 | − | 15.5886i | 0.0229714 | − | 0.0306862i | ||||
\(509\) | −747.360 | − | 341.308i | −1.46829 | − | 0.670546i | −0.488867 | − | 0.872358i | \(-0.662590\pi\) |
−0.979424 | + | 0.201812i | \(0.935317\pi\) | |||||||
\(510\) | −1.62192 | − | 86.1732i | −0.00318024 | − | 0.168967i | ||||
\(511\) | −120.336 | + | 138.875i | −0.235491 | + | 0.271771i | ||||
\(512\) | −19.8596 | + | 10.8442i | −0.0387883 | + | 0.0211800i | ||||
\(513\) | 340.695 | + | 74.1137i | 0.664123 | + | 0.144471i | ||||
\(514\) | −349.275 | + | 159.509i | −0.679523 | + | 0.310328i | ||||
\(515\) | −221.304 | − | 461.406i | −0.429716 | − | 0.895935i | ||||
\(516\) | 158.255 | + | 101.705i | 0.306697 | + | 0.197102i | ||||
\(517\) | 749.364 | + | 1001.03i | 1.44945 | + | 1.93623i | ||||
\(518\) | −250.888 | + | 187.812i | −0.484339 | + | 0.362572i | ||||
\(519\) | −135.271 | + | 210.485i | −0.260637 | + | 0.405559i | ||||
\(520\) | 106.344 | − | 302.380i | 0.204508 | − | 0.581499i | ||||
\(521\) | 166.021 | + | 363.535i | 0.318658 | + | 0.697764i | 0.999396 | − | 0.0347638i | \(-0.0110679\pi\) |
−0.680738 | + | 0.732527i | \(0.738341\pi\) | |||||||
\(522\) | 91.9144 | − | 422.524i | 0.176081 | − | 0.809433i | ||||
\(523\) | −168.862 | − | 309.248i | −0.322872 | − | 0.591296i | 0.664949 | − | 0.746889i | \(-0.268453\pi\) |
−0.987821 | + | 0.155592i | \(0.950271\pi\) | |||||||
\(524\) | −273.160 | − | 236.694i | −0.521297 | − | 0.451707i | ||||
\(525\) | −52.9645 | + | 209.205i | −0.100885 | + | 0.398485i | ||||
\(526\) | 70.4438 | − | 154.250i | 0.133924 | − | 0.293252i | ||||
\(527\) | 40.9511 | + | 30.6556i | 0.0777060 | + | 0.0581700i | ||||
\(528\) | −71.3376 | − | 71.3376i | −0.135109 | − | 0.135109i | ||||
\(529\) | 482.819 | − | 216.163i | 0.912702 | − | 0.408626i | ||||
\(530\) | 289.542 | − | 165.250i | 0.546306 | − | 0.311792i | ||||
\(531\) | 59.1303 | + | 411.260i | 0.111357 | + | 0.774501i | ||||
\(532\) | −82.3282 | − | 220.731i | −0.154752 | − | 0.414907i | ||||
\(533\) | −364.539 | − | 199.054i | −0.683939 | − | 0.373459i | ||||
\(534\) | −56.7700 | − | 49.1915i | −0.106311 | − | 0.0921189i | ||||
\(535\) | −83.3284 | + | 135.189i | −0.155754 | + | 0.252690i | ||||
\(536\) | −171.907 | + | 110.478i | −0.320722 | + | 0.206115i | ||||
\(537\) | 142.521 | + | 53.1577i | 0.265403 | + | 0.0989902i | ||||
\(538\) | −6.16418 | + | 86.1865i | −0.0114576 | + | 0.160198i | ||||
\(539\) | 11.3491 | − | 17.6595i | 0.0210558 | − | 0.0327634i | ||||
\(540\) | −81.6334 | + | 188.039i | −0.151173 | + | 0.348220i | ||||
\(541\) | −122.202 | + | 849.936i | −0.225882 | + | 1.57105i | 0.489305 | + | 0.872113i | \(0.337251\pi\) |
−0.715187 | + | 0.698933i | \(0.753659\pi\) | |||||||
\(542\) | −321.173 | + | 69.8670i | −0.592571 | + | 0.128906i | ||||
\(543\) | −0.392262 | + | 5.48454i | −0.000722398 | + | 0.0101004i | ||||
\(544\) | −50.3193 | + | 22.9801i | −0.0924987 | + | 0.0422427i | ||||
\(545\) | −956.913 | − | 499.371i | −1.75580 | − | 0.916277i | ||||
\(546\) | 265.484 | + | 77.9531i | 0.486234 | + | 0.142771i | ||||
\(547\) | −31.5783 | − | 441.522i | −0.0577300 | − | 0.807170i | −0.941022 | − | 0.338346i | \(-0.890132\pi\) |
0.883292 | − | 0.468824i | \(-0.155322\pi\) | |||||||
\(548\) | 65.1460 | + | 35.5724i | 0.118880 | + | 0.0649132i | ||||
\(549\) | 18.8267 | + | 8.59788i | 0.0342928 | + | 0.0156610i | ||||
\(550\) | 660.425 | − | 275.059i | 1.20077 | − | 0.500106i | ||||
\(551\) | 698.385 | 1.26749 | ||||||||
\(552\) | −16.9407 | − | 79.2961i | −0.0306896 | − | 0.143652i | ||||
\(553\) | −584.416 | − | 584.416i | −1.05681 | − | 1.05681i | ||||
\(554\) | −165.339 | + | 23.7722i | −0.298447 | + | 0.0429102i | ||||
\(555\) | 17.9672 | + | 198.609i | 0.0323732 | + | 0.357855i | ||||
\(556\) | −8.46657 | + | 2.48601i | −0.0152276 | + | 0.00447124i | ||||
\(557\) | 20.2855 | + | 283.629i | 0.0364193 | + | 0.509208i | 0.982620 | + | 0.185628i | \(0.0594320\pi\) |
−0.946201 | + | 0.323580i | \(0.895113\pi\) | |||||||
\(558\) | −26.4004 | − | 48.3487i | −0.0473125 | − | 0.0866464i | ||||
\(559\) | 924.699 | + | 1438.86i | 1.65420 | + | 2.57399i | ||||
\(560\) | 136.705 | − | 22.2885i | 0.244116 | − | 0.0398010i | ||||
\(561\) | −161.516 | − | 186.400i | −0.287908 | − | 0.332263i | ||||
\(562\) | 501.793 | − | 109.158i | 0.892870 | − | 0.194232i | ||||
\(563\) | 134.478 | − | 100.669i | 0.238859 | − | 0.178808i | −0.473141 | − | 0.880986i | \(-0.656880\pi\) |
0.712001 | + | 0.702178i | \(0.247789\pi\) | |||||||
\(564\) | 152.482 | + | 21.9236i | 0.270358 | + | 0.0388716i | ||||
\(565\) | 290.764 | + | 323.069i | 0.514626 | + | 0.571804i | ||||
\(566\) | 36.2527 | + | 41.8378i | 0.0640507 | + | 0.0739184i | ||||
\(567\) | 269.069 | + | 100.358i | 0.474548 | + | 0.176997i | ||||
\(568\) | −7.02366 | − | 1.52790i | −0.0123656 | − | 0.00268997i | ||||
\(569\) | −121.019 | + | 412.153i | −0.212687 | + | 0.724347i | 0.782170 | + | 0.623065i | \(0.214113\pi\) |
−0.994858 | + | 0.101282i | \(0.967705\pi\) | |||||||
\(570\) | −147.054 | − | 29.1027i | −0.257990 | − | 0.0510574i | ||||
\(571\) | 535.071 | − | 157.111i | 0.937077 | − | 0.275151i | 0.222680 | − | 0.974891i | \(-0.428519\pi\) |
0.714397 | + | 0.699741i | \(0.246701\pi\) | |||||||
\(572\) | −320.550 | − | 859.427i | −0.560402 | − | 1.50250i | ||||
\(573\) | −31.6292 | + | 42.2517i | −0.0551993 | + | 0.0737377i | ||||
\(574\) | − | 179.480i | − | 0.312682i | ||||||
\(575\) | 565.681 | + | 103.104i | 0.983792 | + | 0.179311i | ||||
\(576\) | 59.5712 | 0.103422 | ||||||||
\(577\) | −586.299 | − | 438.898i | −1.01612 | − | 0.760655i | −0.0449333 | − | 0.998990i | \(-0.514308\pi\) |
−0.971183 | + | 0.238335i | \(0.923398\pi\) | |||||||
\(578\) | 256.226 | − | 95.5675i | 0.443298 | − | 0.165342i | ||||
\(579\) | 82.1302 | + | 279.710i | 0.141848 | + | 0.483091i | ||||
\(580\) | −79.7157 | + | 402.798i | −0.137441 | + | 0.694480i | ||||
\(581\) | −12.4097 | − | 3.64382i | −0.0213592 | − | 0.00627164i | ||||
\(582\) | 12.3720 | − | 56.8731i | 0.0212577 | − | 0.0977202i | ||||
\(583\) | 333.396 | − | 893.869i | 0.571862 | − | 1.53322i | ||||
\(584\) | 56.7175 | − | 49.1460i | 0.0971190 | − | 0.0841541i | ||||
\(585\) | −627.243 | + | 564.521i | −1.07221 | + | 0.964994i | ||||
\(586\) | 6.43772 | − | 44.7753i | 0.0109859 | − | 0.0764084i | ||||
\(587\) | −228.653 | − | 305.444i | −0.389528 | − | 0.520348i | 0.562320 | − | 0.826920i | \(-0.309909\pi\) |
−0.951848 | + | 0.306572i | \(0.900818\pi\) | |||||||
\(588\) | −0.549719 | − | 2.52702i | −0.000934897 | − | 0.00429765i | ||||
\(589\) | 67.2404 | − | 58.2642i | 0.114160 | − | 0.0989205i | ||||
\(590\) | −63.4891 | − | 389.405i | −0.107609 | − | 0.660009i | ||||
\(591\) | 204.512 | − | 131.432i | 0.346045 | − | 0.222389i | ||||
\(592\) | 112.338 | − | 61.3409i | 0.189759 | − | 0.103616i | ||||
\(593\) | −232.996 | + | 16.6642i | −0.392910 | + | 0.0281015i | −0.266397 | − | 0.963863i | \(-0.585833\pi\) |
−0.126513 | + | 0.991965i | \(0.540379\pi\) | |||||||
\(594\) | 165.271 | + | 562.861i | 0.278234 | + | 0.947577i | ||||
\(595\) | 337.245 | − | 30.5088i | 0.566798 | − | 0.0512753i | ||||
\(596\) | 43.8900 | + | 305.262i | 0.0736410 | + | 0.512184i | ||||
\(597\) | 266.383 | − | 266.383i | 0.446203 | − | 0.446203i | ||||
\(598\) | 159.392 | − | 719.793i | 0.266542 | − | 1.20367i | ||||
\(599\) | − | 157.380i | − | 0.262739i | −0.991333 | − | 0.131369i | \(-0.958063\pi\) | ||
0.991333 | − | 0.131369i | \(-0.0419374\pi\) | |||||||
\(600\) | 33.5704 | − | 81.4927i | 0.0559507 | − | 0.135821i | ||||
\(601\) | 56.6463 | − | 124.038i | 0.0942535 | − | 0.206386i | −0.856633 | − | 0.515926i | \(-0.827448\pi\) |
0.950886 | + | 0.309540i | \(0.100175\pi\) | |||||||
\(602\) | −354.209 | + | 648.684i | −0.588386 | + | 1.07755i | ||||
\(603\) | 536.610 | − | 38.3791i | 0.889901 | − | 0.0636470i | ||||
\(604\) | −138.790 | + | 472.676i | −0.229785 | + | 0.782575i | ||||
\(605\) | 667.265 | − | 1278.64i | 1.10292 | − | 2.11345i | ||||
\(606\) | −45.6758 | − | 100.016i | −0.0753727 | − | 0.165043i | ||||
\(607\) | 970.123 | + | 69.3845i | 1.59822 | + | 0.114307i | 0.841806 | − | 0.539780i | \(-0.181493\pi\) |
0.756419 | + | 0.654087i | \(0.226947\pi\) | |||||||
\(608\) | 20.4518 | + | 94.0155i | 0.0336379 | + | 0.154631i | ||||
\(609\) | −350.840 | − | 50.4431i | −0.576092 | − | 0.0828295i | ||||
\(610\) | −18.0283 | − | 7.82664i | −0.0295545 | − | 0.0128306i | ||||
\(611\) | 1178.28 | + | 757.234i | 1.92844 | + | 1.23934i | ||||
\(612\) | 145.265 | + | 10.3896i | 0.237362 | + | 0.0169764i | ||||
\(613\) | −80.8910 | + | 216.877i | −0.131959 | + | 0.353797i | −0.986078 | − | 0.166281i | \(-0.946824\pi\) |
0.854119 | + | 0.520077i | \(0.174097\pi\) | |||||||
\(614\) | 17.6351 | + | 27.4408i | 0.0287217 | + | 0.0446918i | ||||
\(615\) | −97.2211 | − | 59.9255i | −0.158083 | − | 0.0974399i | ||||
\(616\) | 259.566 | − | 299.555i | 0.421374 | − | 0.486291i | ||||
\(617\) | 99.6789 | − | 182.548i | 0.161554 | − | 0.295864i | −0.784345 | − | 0.620325i | \(-0.787001\pi\) |
0.945899 | + | 0.324460i | \(0.105183\pi\) | |||||||
\(618\) | −169.035 | + | 63.0466i | −0.273519 | + | 0.102017i | ||||
\(619\) | 793.333 | − | 114.064i | 1.28164 | − | 0.184272i | 0.532354 | − | 0.846522i | \(-0.321308\pi\) |
0.749283 | + | 0.662250i | \(0.230398\pi\) | |||||||
\(620\) | 25.9292 | + | 45.4318i | 0.0418213 | + | 0.0732771i | ||||
\(621\) | −134.517 | + | 451.890i | −0.216614 | + | 0.727681i | ||||
\(622\) | −194.656 | + | 194.656i | −0.312951 | + | 0.312951i | ||||
\(623\) | 176.862 | − | 236.260i | 0.283888 | − | 0.379230i | ||||
\(624\) | −102.791 | − | 46.9432i | −0.164729 | − | 0.0752294i | ||||
\(625\) | 443.652 | + | 440.225i | 0.709843 | + | 0.704359i | ||||
\(626\) | −547.666 | + | 632.040i | −0.874866 | + | 1.00965i | ||||
\(627\) | −376.508 | + | 205.589i | −0.600491 | + | 0.327893i | ||||
\(628\) | −520.973 | − | 113.331i | −0.829575 | − | 0.180463i | ||||
\(629\) | 284.635 | − | 129.989i | 0.452520 | − | 0.206659i | ||||
\(630\) | −344.001 | − | 120.982i | −0.546034 | − | 0.192035i | ||||
\(631\) | 458.930 | + | 294.936i | 0.727306 | + | 0.467411i | 0.851171 | − | 0.524888i | \(-0.175893\pi\) |
−0.123866 | + | 0.992299i | \(0.539529\pi\) | |||||||
\(632\) | 202.283 | + | 270.218i | 0.320068 | + | 0.427561i | ||||
\(633\) | 207.680 | − | 155.468i | 0.328089 | − | 0.245604i | ||||
\(634\) | −281.998 | + | 438.797i | −0.444791 | + | 0.692109i | ||||
\(635\) | 43.8937 | − | 21.0527i | 0.0691240 | − | 0.0331539i | ||||
\(636\) | −48.8244 | − | 106.911i | −0.0767679 | − | 0.168098i | ||||
\(637\) | 4.99805 | − | 22.9757i | 0.00784623 | − | 0.0360685i | ||||
\(638\) | 563.131 | + | 1031.30i | 0.882651 | + | 1.61645i | ||||
\(639\) | 14.3015 | + | 12.3924i | 0.0223811 | + | 0.0193934i | ||||
\(640\) | −56.5585 | + | 1.06452i | −0.0883727 | + | 0.00166332i | ||||
\(641\) | −113.724 | + | 249.021i | −0.177417 | + | 0.388489i | −0.977359 | − | 0.211589i | \(-0.932136\pi\) |
0.799942 | + | 0.600078i | \(0.204864\pi\) | |||||||
\(642\) | 44.8197 | + | 33.5516i | 0.0698126 | + | 0.0522611i | ||||
\(643\) | 349.150 | + | 349.150i | 0.543001 | + | 0.543001i | 0.924407 | − | 0.381406i | \(-0.124560\pi\) |
−0.381406 | + | 0.924407i | \(0.624560\pi\) | |||||||
\(644\) | 306.001 | − | 88.6131i | 0.475157 | − | 0.137598i | ||||
\(645\) | 233.117 | + | 408.455i | 0.361421 | + | 0.633263i | ||||
\(646\) | 33.4752 | + | 232.825i | 0.0518193 | + | 0.360411i | ||||
\(647\) | 248.065 | + | 665.089i | 0.383408 | + | 1.02796i | 0.975095 | + | 0.221789i | \(0.0711897\pi\) |
−0.591686 | + | 0.806168i | \(0.701538\pi\) | |||||||
\(648\) | −102.938 | − | 56.2085i | −0.158855 | − | 0.0867415i | ||||
\(649\) | −853.286 | − | 739.377i | −1.31477 | − | 1.13926i | ||||
\(650\) | 585.434 | − | 547.181i | 0.900668 | − | 0.841817i | ||||
\(651\) | −37.9871 | + | 24.4128i | −0.0583519 | + | 0.0375005i | ||||
\(652\) | −93.2279 | − | 34.7722i | −0.142988 | − | 0.0533316i | ||||
\(653\) | −3.16383 | + | 44.2361i | −0.00484507 | + | 0.0677429i | −0.999299 | − | 0.0374266i | \(-0.988084\pi\) |
0.994454 | + | 0.105169i | \(0.0335385\pi\) | |||||||
\(654\) | −205.730 | + | 320.122i | −0.314571 | + | 0.489483i | ||||
\(655\) | −331.654 | − | 840.541i | −0.506342 | − | 1.28327i | ||||
\(656\) | −10.4318 | + | 72.5547i | −0.0159021 | + | 0.110602i | ||||
\(657\) | −193.064 | + | 41.9984i | −0.293856 | + | 0.0639245i | ||||
\(658\) | −43.1774 | + | 603.698i | −0.0656191 | + | 0.917475i | ||||
\(659\) | 148.918 | − | 68.0088i | 0.225976 | − | 0.103200i | −0.299210 | − | 0.954187i | \(-0.596723\pi\) |
0.525186 | + | 0.850987i | \(0.323996\pi\) | |||||||
\(660\) | −75.5990 | − | 240.620i | −0.114544 | − | 0.364576i | ||||
\(661\) | −169.994 | − | 49.9147i | −0.257177 | − | 0.0755139i | 0.150603 | − | 0.988594i | \(-0.451879\pi\) |
−0.407779 | + | 0.913080i | \(0.633697\pi\) | |||||||
\(662\) | −4.97903 | − | 69.6159i | −0.00752119 | − | 0.105160i | ||||
\(663\) | −242.471 | − | 132.399i | −0.365718 | − | 0.199697i | ||||
\(664\) | 4.80484 | + | 2.19430i | 0.00723621 | + | 0.00330467i | ||||
\(665\) | 72.8326 | − | 584.440i | 0.109523 | − | 0.878857i | ||||
\(666\) | −336.969 | −0.505960 | ||||||||
\(667\) | −70.8817 | + | 941.741i | −0.106269 | + | 1.41191i | ||||
\(668\) | −33.4375 | − | 33.4375i | −0.0500561 | − | 0.0500561i | ||||
\(669\) | −466.758 | + | 67.1096i | −0.697695 | + | 0.100313i | ||||
\(670\) | −508.787 | + | 46.0273i | −0.759384 | + | 0.0686975i | ||||
\(671\) | −53.9645 | + | 15.8454i | −0.0804239 | + | 0.0236146i | ||||
\(672\) | −3.48357 | − | 48.7067i | −0.00518389 | − | 0.0724802i | ||||
\(673\) | −248.958 | − | 455.932i | −0.369922 | − | 0.677462i | 0.624719 | − | 0.780850i | \(-0.285214\pi\) |
−0.994641 | + | 0.103388i | \(0.967032\pi\) | |||||||
\(674\) | 80.6179 | + | 125.444i | 0.119611 | + | 0.186118i | ||||
\(675\) | −398.418 | + | 322.341i | −0.590249 | + | 0.477543i | ||||
\(676\) | −451.477 | − | 521.032i | −0.667865 | − | 0.770757i | ||||
\(677\) | −58.4249 | + | 12.7095i | −0.0862996 | + | 0.0187733i | −0.255508 | − | 0.966807i | \(-0.582243\pi\) |
0.169208 | + | 0.985580i | \(0.445879\pi\) | |||||||
\(678\) | 122.669 | − | 91.8288i | 0.180928 | − | 0.135441i | ||||
\(679\) | 226.345 | + | 32.5435i | 0.333350 | + | 0.0479285i | ||||
\(680\) | −138.105 | − | 7.26830i | −0.203095 | − | 0.0106887i | ||||
\(681\) | −114.276 | − | 131.881i | −0.167806 | − | 0.193658i | ||||
\(682\) | 140.256 | + | 52.3129i | 0.205654 | + | 0.0767051i | ||||
\(683\) | −943.731 | − | 205.296i | −1.38174 | − | 0.300580i | −0.540549 | − | 0.841313i | \(-0.681783\pi\) |
−0.841194 | + | 0.540733i | \(0.818147\pi\) | |||||||
\(684\) | 71.3638 | − | 243.043i | 0.104333 | − | 0.355326i | ||||
\(685\) | 103.243 | + | 154.190i | 0.150720 | + | 0.225095i | ||||
\(686\) | 470.222 | − | 138.070i | 0.685455 | − | 0.201268i | ||||
\(687\) | 103.707 | + | 278.050i | 0.150957 | + | 0.404731i | ||||
\(688\) | 180.892 | − | 241.644i | 0.262925 | − | 0.351226i | ||||
\(689\) | − | 1068.60i | − | 1.55094i | ||||||
\(690\) | 54.1688 | − | 195.342i | 0.0785055 | − | 0.283105i | ||||
\(691\) | 52.7010 | 0.0762677 | 0.0381338 | − | 0.999273i | \(-0.487859\pi\) | ||||
0.0381338 | + | 0.999273i | \(0.487859\pi\) | |||||||
\(692\) | 321.394 | + | 240.593i | 0.464442 | + | 0.347677i | ||||
\(693\) | −977.725 | + | 364.673i | −1.41086 | + | 0.526223i | ||||
\(694\) | −60.0287 | − | 204.439i | −0.0864967 | − | 0.294581i | ||||
\(695\) | −21.6403 | − | 4.28272i | −0.0311371 | − | 0.00616218i | ||||
\(696\) | 138.895 | + | 40.7833i | 0.199562 | + | 0.0585967i | ||||
\(697\) | −38.0921 | + | 175.107i | −0.0546515 | + | 0.251229i | ||||
\(698\) | −97.4883 | + | 261.376i | −0.139668 | + | 0.374464i | ||||
\(699\) | 200.749 | − | 173.950i | 0.287194 | − | 0.248855i | ||||
\(700\) | 328.766 | + | 108.716i | 0.469666 | + | 0.155309i | ||||
\(701\) | 53.8841 | − | 374.772i | 0.0768675 | − | 0.534625i | −0.914609 | − | 0.404339i | \(-0.867501\pi\) |
0.991476 | − | 0.130286i | \(-0.0415895\pi\) | |||||||
\(702\) | 393.771 | + | 526.017i | 0.560928 | + | 0.749312i | ||||
\(703\) | −115.687 | − | 531.807i | −0.164563 | − | 0.756482i | ||||
\(704\) | −122.341 | + | 106.009i | −0.173779 | + | 0.150581i | ||||
\(705\) | 312.597 | + | 224.954i | 0.443400 | + | 0.319084i | ||||
\(706\) | 728.973 | − | 468.483i | 1.03254 | − | 0.663573i | ||||
\(707\) | 379.146 | − | 207.029i | 0.536274 | − | 0.292828i | ||||
\(708\) | −138.741 | + | 9.92298i | −0.195962 | + | 0.0140155i | ||||
\(709\) | 340.298 | + | 1158.95i | 0.479969 | + | 1.63462i | 0.742606 | + | 0.669728i | \(0.233590\pi\) |
−0.262637 | + | 0.964895i | \(0.584592\pi\) | |||||||
\(710\) | −13.7997 | − | 11.5101i | −0.0194362 | − | 0.0162114i | ||||
\(711\) | −126.469 | − | 879.608i | −0.177874 | − | 1.23714i | ||||
\(712\) | −85.2286 | + | 85.2286i | −0.119703 | + | 0.119703i | ||||
\(713\) | 71.7421 | + | 96.5841i | 0.100620 | + | 0.135462i | ||||
\(714\) | − | 119.380i | − | 0.167198i | ||||||
\(715\) | 283.578 | − | 2275.55i | 0.396612 | − | 3.18259i | ||||
\(716\) | 101.392 | − | 222.019i | 0.141610 | − | 0.310082i | ||||
\(717\) | 45.8786 | − | 84.0205i | 0.0639869 | − | 0.117183i | ||||
\(718\) | 19.8418 | − | 1.41911i | 0.0276348 | − | 0.00197648i | ||||
\(719\) | −155.147 | + | 528.383i | −0.215782 | + | 0.734886i | 0.778457 | + | 0.627698i | \(0.216003\pi\) |
−0.994239 | + | 0.107188i | \(0.965815\pi\) | |||||||
\(720\) | 132.031 | + | 68.9011i | 0.183376 | + | 0.0956960i | ||||
\(721\) | −294.447 | − | 644.749i | −0.408387 | − | 0.894243i | ||||
\(722\) | −101.158 | − | 7.23499i | −0.140109 | − | 0.0100208i | ||||
\(723\) | 105.449 | + | 484.742i | 0.145849 | + | 0.670459i | ||||
\(724\) | 8.73302 | + | 1.25562i | 0.0120622 | + | 0.00173428i | ||||
\(725\) | −642.563 | + | 800.544i | −0.886293 | + | 1.10420i | ||||
\(726\) | −427.750 | − | 274.898i | −0.589188 | − | 0.378648i | ||||
\(727\) | −403.430 | − | 28.8539i | −0.554924 | − | 0.0396890i | −0.208939 | − | 0.977929i | \(-0.567001\pi\) |
−0.345986 | + | 0.938240i | \(0.612455\pi\) | |||||||
\(728\) | 155.153 | − | 415.980i | 0.213122 | − | 0.571401i | ||||
\(729\) | 42.6101 | + | 66.3026i | 0.0584500 | + | 0.0909500i | ||||
\(730\) | 182.549 | − | 43.3245i | 0.250068 | − | 0.0593486i | ||||
\(731\) | 483.253 | − | 557.703i | 0.661084 | − | 0.762932i | ||||
\(732\) | −3.32066 | + | 6.08134i | −0.00453642 | + | 0.00830784i | ||||
\(733\) | −530.759 | + | 197.963i | −0.724091 | + | 0.270072i | −0.684366 | − | 0.729138i | \(-0.739921\pi\) |
−0.0397253 | + | 0.999211i | \(0.512648\pi\) | |||||||
\(734\) | −42.6436 | + | 6.13123i | −0.0580976 | + | 0.00835317i | ||||
\(735\) | 1.70442 | − | 6.23659i | 0.00231895 | − | 0.00848515i | ||||
\(736\) | −128.851 | + | 18.0364i | −0.175070 | + | 0.0245059i | ||||
\(737\) | −1033.73 | + | 1033.73i | −1.40262 | + | 1.40262i | ||||
\(738\) | 115.648 | − | 154.488i | 0.156705 | − | 0.209333i | ||||
\(739\) | −714.201 | − | 326.165i | −0.966443 | − | 0.441360i | −0.131270 | − | 0.991347i | \(-0.541905\pi\) |
−0.835173 | + | 0.549987i | \(0.814633\pi\) | |||||||
\(740\) | 319.928 | − | 6.02157i | 0.432335 | − | 0.00813725i | ||||
\(741\) | −314.662 | + | 363.139i | −0.424645 | + | 0.490066i | ||||
\(742\) | 405.281 | − | 221.300i | 0.546201 | − | 0.298248i | ||||
\(743\) | −146.216 | − | 31.8074i | −0.196792 | − | 0.0428094i | 0.113089 | − | 0.993585i | \(-0.463925\pi\) |
−0.309881 | + | 0.950775i | \(0.600289\pi\) | |||||||
\(744\) | 16.7752 | − | 7.66100i | 0.0225474 | − | 0.0102970i | ||||
\(745\) | −255.796 | + | 727.333i | −0.343350 | + | 0.976286i | ||||
\(746\) | −493.851 | − | 317.379i | −0.661998 | − | 0.425441i | ||||
\(747\) | −8.33379 | − | 11.1326i | −0.0111564 | − | 0.0149031i | ||||
\(748\) | −316.819 | + | 237.167i | −0.423554 | + | 0.317069i | ||||
\(749\) | −118.921 | + | 185.045i | −0.158774 | + | 0.247057i | ||||
\(750\) | 168.660 | − | 141.789i | 0.224880 | − | 0.189051i | ||||
\(751\) | −43.9136 | − | 96.1573i | −0.0584735 | − | 0.128039i | 0.878140 | − | 0.478404i | \(-0.158785\pi\) |
−0.936613 | + | 0.350365i | \(0.886057\pi\) | |||||||
\(752\) | 52.5429 | − | 241.536i | 0.0698709 | − | 0.321191i | ||||
\(753\) | −144.581 | − | 264.780i | −0.192006 | − | 0.351633i | ||||
\(754\) | 994.679 | + | 861.894i | 1.31920 | + | 1.14310i | ||||
\(755\) | −854.314 | + | 887.090i | −1.13154 | + | 1.17495i | ||||
\(756\) | −117.952 | + | 258.278i | −0.156021 | + | 0.341638i | ||||
\(757\) | −141.306 | − | 105.780i | −0.186666 | − | 0.139736i | 0.501858 | − | 0.864950i | \(-0.332650\pi\) |
−0.688524 | + | 0.725214i | \(0.741741\pi\) | |||||||
\(758\) | −411.843 | − | 411.843i | −0.543329 | − | 0.543329i | ||||
\(759\) | −239.014 | − | 528.570i | −0.314906 | − | 0.696403i | ||||
\(760\) | −63.4117 | + | 232.027i | −0.0834364 | + | 0.305298i | ||||
\(761\) | 183.301 | + | 1274.89i | 0.240869 | + | 1.67528i | 0.647791 | + | 0.761818i | \(0.275693\pi\) |
−0.406922 | + | 0.913463i | \(0.633398\pi\) | |||||||
\(762\) | −5.99764 | − | 16.0803i | −0.00787092 | − | 0.0211028i | ||||
\(763\) | −1312.17 | − | 716.499i | −1.71975 | − | 0.939055i | ||||
\(764\) | 64.0026 | + | 55.4586i | 0.0837731 | + | 0.0725898i | ||||
\(765\) | 309.943 | + | 191.044i | 0.405154 | + | 0.249730i | ||||
\(766\) | −707.072 | + | 454.407i | −0.923070 | + | 0.593221i | ||||
\(767\) | −1184.92 | − | 441.953i | −1.54488 | − | 0.576210i | ||||
\(768\) | −1.42272 | + | 19.8922i | −0.00185250 | + | 0.0259013i | ||||
\(769\) | 398.694 | − | 620.380i | 0.518458 | − | 0.806737i | −0.479013 | − | 0.877808i | \(-0.659005\pi\) |
0.997471 | + | 0.0710712i | \(0.0226418\pi\) | |||||||
\(770\) | 921.763 | − | 363.702i | 1.19709 | − | 0.472340i | ||||
\(771\) | −48.1623 | + | 334.976i | −0.0624673 | + | 0.434470i | ||||
\(772\) | 457.073 | − | 99.4301i | 0.592063 | − | 0.128795i | ||||
\(773\) | 68.8017 | − | 961.974i | 0.0890061 | − | 1.24447i | −0.735071 | − | 0.677990i | \(-0.762851\pi\) |
0.824077 | − | 0.566478i | \(-0.191694\pi\) | |||||||
\(774\) | −722.867 | + | 330.122i | −0.933936 | + | 0.426514i | ||||
\(775\) | 4.92109 | + | 130.683i | 0.00634979 | + | 0.168624i | ||||
\(776\) | −89.6084 | − | 26.3114i | −0.115475 | − | 0.0339065i | ||||
\(777\) | 19.7051 | + | 275.513i | 0.0253605 | + | 0.354586i | ||||
\(778\) | −447.257 | − | 244.221i | −0.574880 | − | 0.313908i | ||||
\(779\) | 283.517 | + | 129.478i | 0.363950 | + | 0.166210i | ||||
\(780\) | −173.526 | − | 222.933i | −0.222470 | − | 0.285812i | ||||
\(781\) | −51.4235 | −0.0658432 | ||||||||
\(782\) | −317.352 | + | 21.5095i | −0.405821 | + | 0.0275058i | ||||
\(783\) | −595.191 | − | 595.191i | −0.760142 | − | 0.760142i | ||||
\(784\) | −4.10738 | + | 0.590552i | −0.00523901 | + | 0.000753256i | ||||
\(785\) | −1023.58 | − | 853.749i | −1.30393 | − | 1.08758i | ||||
\(786\) | −305.658 | + | 89.7493i | −0.388878 | + | 0.114185i | ||||
\(787\) | −6.74704 | − | 94.3359i | −0.00857311 | − | 0.119868i | 0.991363 | − | 0.131144i | \(-0.0418651\pi\) |
−0.999936 | + | 0.0112764i | \(0.996411\pi\) | |||||||
\(788\) | −186.945 | − | 342.364i | −0.237240 | − | 0.434472i | ||||
\(789\) | −80.8025 | − | 125.731i | −0.102411 | − | 0.159355i | ||||
\(790\) | 135.791 | + | 832.864i | 0.171888 | + | 1.05426i | ||||
\(791\) | 394.245 | + | 454.983i | 0.498413 | + | 0.575199i | ||||
\(792\) | 416.441 | − | 90.5913i | 0.525810 | − | 0.114383i | ||||
\(793\) | −50.4320 | + | 37.7530i | −0.0635965 | + | 0.0476078i | ||||
\(794\) | −384.680 | − | 55.3086i | −0.484484 | − | 0.0696582i | ||||
\(795\) | 15.4425 | − | 293.423i | 0.0194246 | − | 0.369085i | ||||
\(796\) | −395.850 | − | 456.835i | −0.497299 | − | 0.573914i | ||||
\(797\) | 33.3971 | + | 12.4565i | 0.0419036 | + | 0.0156292i | 0.370329 | − | 0.928901i | \(-0.379245\pi\) |
−0.328425 | + | 0.944530i | \(0.606518\pi\) | |||||||
\(798\) | −202.890 | − | 44.1361i | −0.254249 | − | 0.0553084i | ||||
\(799\) | 170.252 | − | 579.825i | 0.213081 | − | 0.725689i | ||||
\(800\) | −126.585 | − | 63.0573i | −0.158231 | − | 0.0788216i | ||||
\(801\) | 304.469 | − | 89.4002i | 0.380111 | − | 0.111611i | ||||
\(802\) | 282.435 | + | 757.236i | 0.352163 | + | 0.944185i | ||||
\(803\) | 321.755 | − | 429.815i | 0.400691 | − | 0.535261i | ||||
\(804\) | 180.103i | 0.224009i | ||||||||
\(805\) | 780.698 | + | 157.528i | 0.969812 | + | 0.195687i | ||||
\(806\) | 167.673 | 0.208031 | ||||||||
\(807\) | 60.9658 | + | 45.6384i | 0.0755462 | + | 0.0565532i | ||||
\(808\) | −165.303 | + | 61.6548i | −0.204583 | + | 0.0763054i | ||||
\(809\) | 292.932 | + | 997.633i | 0.362091 | + | 1.23317i | 0.916199 | + | 0.400724i | \(0.131241\pi\) |
−0.554108 | + | 0.832445i | \(0.686941\pi\) | |||||||
\(810\) | −163.136 | − | 243.638i | −0.201402 | − | 0.300788i | ||||
\(811\) | −547.693 | − | 160.817i | −0.675331 | − | 0.198295i | −0.0739552 | − | 0.997262i | \(-0.523562\pi\) |
−0.601375 | + | 0.798967i | \(0.705380\pi\) | |||||||
\(812\) | −120.894 | + | 555.740i | −0.148884 | + | 0.684409i | ||||
\(813\) | −101.237 | + | 271.426i | −0.124522 | + | 0.333857i | ||||
\(814\) | 692.030 | − | 599.648i | 0.850160 | − | 0.736668i | ||||
\(815\) | −166.408 | − | 184.897i | −0.204182 | − | 0.226867i | ||||
\(816\) | −6.93864 | + | 48.2593i | −0.00850323 | + | 0.0591413i | ||||
\(817\) | −769.174 | − | 1027.50i | −0.941461 | − | 1.25764i | ||||
\(818\) | 101.932 | + | 468.574i | 0.124611 | + | 0.572829i | ||||
\(819\) | −883.355 | + | 765.431i | −1.07858 | + | 0.934593i | ||||
\(820\) | −107.039 | + | 148.741i | −0.130535 | + | 0.181392i | ||||
\(821\) | 755.087 | − | 485.265i | 0.919717 | − | 0.591066i | 0.00714119 | − | 0.999975i | \(-0.497727\pi\) |
0.912575 | + | 0.408909i | \(0.134091\pi\) | |||||||
\(822\) | 57.4174 | − | 31.3523i | 0.0698508 | − | 0.0381414i | ||||
\(823\) | 1190.65 | − | 85.1572i | 1.44672 | − | 0.103472i | 0.674243 | − | 0.738510i | \(-0.264470\pi\) |
0.772481 | + | 0.635038i | \(0.219016\pi\) | |||||||
\(824\) | 81.5560 | + | 277.754i | 0.0989757 | + | 0.337080i | ||||
\(825\) | 110.751 | − | 620.738i | 0.134244 | − | 0.752410i | ||||
\(826\) | −77.7733 | − | 540.925i | −0.0941565 | − | 0.654873i | ||||
\(827\) | −447.530 | + | 447.530i | −0.541148 | + | 0.541148i | −0.923866 | − | 0.382717i | \(-0.874988\pi\) |
0.382717 | + | 0.923866i | \(0.374988\pi\) | |||||||
\(828\) | 320.489 | + | 120.898i | 0.387064 | + | 0.146012i | ||||
\(829\) | 396.355i | 0.478112i | 0.971006 | + | 0.239056i | \(0.0768380\pi\) | ||||
−0.971006 | + | 0.239056i | \(0.923162\pi\) | |||||||
\(830\) | 8.11127 | + | 10.4207i | 0.00977262 | + | 0.0125551i | ||||
\(831\) | −61.1585 | + | 133.919i | −0.0735963 | + | 0.161153i | ||||
\(832\) | −86.8983 | + | 159.142i | −0.104445 | + | 0.191277i | ||||
\(833\) | −10.1189 | + | 0.723719i | −0.0121476 | + | 0.000868811i | ||||
\(834\) | −2.19108 | + | 7.46213i | −0.00262719 | + | 0.00894740i | ||||
\(835\) | −35.4349 | − | 112.784i | −0.0424370 | − | 0.135070i | ||||
\(836\) | 285.943 | + | 626.129i | 0.342038 | + | 0.748958i | ||||
\(837\) | −106.960 | − | 7.64992i | −0.127790 | − | 0.00913969i | ||||
\(838\) | 178.575 | + | 820.897i | 0.213097 | + | 0.979591i | ||||
\(839\) | −444.390 | − | 63.8936i | −0.529666 | − | 0.0761545i | −0.127707 | − | 0.991812i | \(-0.540762\pi\) |
−0.401959 | + | 0.915657i | \(0.631671\pi\) | |||||||
\(840\) | 48.6143 | − | 111.981i | 0.0578741 | − | 0.133310i | ||||
\(841\) | −710.869 | − | 456.848i | −0.845266 | − | 0.543220i | ||||
\(842\) | −389.412 | − | 27.8513i | −0.462484 | − | 0.0330775i | ||||
\(843\) | 158.170 | − | 424.069i | 0.187627 | − | 0.503047i | ||||
\(844\) | −225.051 | − | 350.186i | −0.266648 | − | 0.414912i | ||||
\(845\) | −397.997 | − | 1676.98i | −0.471003 | − | 1.98459i | ||||
\(846\) | −426.159 | + | 491.814i | −0.503734 | + | 0.581340i | ||||
\(847\) | 957.394 | − | 1753.34i | 1.13033 | − | 2.07005i | ||||
\(848\) | −176.698 | + | 65.9048i | −0.208370 | + | 0.0777179i | ||||
\(849\) | 48.2951 | − | 6.94379i | 0.0568847 | − | 0.00817879i | ||||
\(850\) | −297.682 | − | 175.844i | −0.350214 | − | 0.206875i | ||||
\(851\) | 728.859 | − | 102.024i | 0.856473 | − | 0.119887i | ||||
\(852\) | −4.47965 | + | 4.47965i | −0.00525781 | + | 0.00525781i | ||||
\(853\) | 491.655 | − | 656.774i | 0.576383 | − | 0.769958i | −0.413704 | − | 0.910411i | \(-0.635765\pi\) |
0.990087 | + | 0.140454i | \(0.0448561\pi\) | |||||||
\(854\) | −24.7625 | − | 11.3087i | −0.0289959 | − | 0.0132420i | ||||
\(855\) | 439.275 | − | 456.128i | 0.513772 | − | 0.533484i | ||||
\(856\) | 58.8293 | − | 67.8927i | 0.0687259 | − | 0.0793139i | ||||
\(857\) | −925.316 | + | 505.261i | −1.07971 | + | 0.589569i | −0.917722 | − | 0.397223i | \(-0.869974\pi\) |
−0.161993 | + | 0.986792i | \(0.551792\pi\) | |||||||
\(858\) | −789.965 | − | 171.846i | −0.920706 | − | 0.200287i | ||||
\(859\) | −595.716 | + | 272.054i | −0.693499 | + | 0.316710i | −0.730798 | − | 0.682594i | \(-0.760852\pi\) |
0.0372990 | + | 0.999304i | \(0.488125\pi\) | |||||||
\(860\) | 680.411 | − | 326.345i | 0.791175 | − | 0.379471i | ||||
\(861\) | −133.075 | − | 85.5223i | −0.154559 | − | 0.0993290i | ||||
\(862\) | 103.095 | + | 137.719i | 0.119600 | + | 0.159767i | ||||
\(863\) | −154.492 | + | 115.652i | −0.179018 | + | 0.134011i | −0.685029 | − | 0.728516i | \(-0.740210\pi\) |
0.506011 | + | 0.862527i | \(0.331120\pi\) | |||||||
\(864\) | 62.6938 | − | 97.5535i | 0.0725623 | − | 0.112909i | ||||
\(865\) | 434.050 | + | 904.969i | 0.501791 | + | 1.04621i | ||||
\(866\) | −242.545 | − | 531.099i | −0.280075 | − | 0.613279i | ||||
\(867\) | 51.2336 | − | 235.517i | 0.0590930 | − | 0.271646i | ||||
\(868\) | 34.7240 | + | 63.5923i | 0.0400047 | + | 0.0732631i | ||||
\(869\) | 1825.02 | + | 1581.39i | 2.10014 | + | 1.81978i | ||||
\(870\) | 260.670 | + | 251.039i | 0.299621 | + | 0.288551i | ||||
\(871\) | −680.241 | + | 1489.52i | −0.780989 | + | 1.71013i | ||||
\(872\) | 488.800 | + | 365.911i | 0.560551 | + | 0.419623i | ||||
\(873\) | 173.857 | + | 173.857i | 0.199149 | + | 0.199149i | ||||
\(874\) | −80.7726 | + | 547.304i | −0.0924171 | + | 0.626206i | ||||
\(875\) | 602.920 | + | 621.211i | 0.689051 | + | 0.709956i | ||||
\(876\) | −9.41336 | − | 65.4714i | −0.0107458 | − | 0.0747390i | ||||
\(877\) | 569.120 | + | 1525.87i | 0.648940 | + | 1.73988i | 0.672440 | + | 0.740151i | \(0.265246\pi\) |
−0.0235006 | + | 0.999724i | \(0.507481\pi\) | |||||||
\(878\) | 356.804 | + | 194.830i | 0.406382 | + | 0.221902i | ||||
\(879\) | −30.1311 | − | 26.1088i | −0.0342789 | − | 0.0297028i | ||||
\(880\) | −393.762 | + | 93.4516i | −0.447457 | + | 0.106195i | ||||
\(881\) | 1154.87 | − | 742.193i | 1.31087 | − | 0.842443i | 0.316517 | − | 0.948587i | \(-0.397487\pi\) |
0.994351 | + | 0.106143i | \(0.0338503\pi\) | |||||||
\(882\) | 10.2359 | + | 3.81779i | 0.0116053 | + | 0.00432856i | ||||
\(883\) | −15.4530 | + | 216.061i | −0.0175006 | + | 0.244690i | 0.981170 | + | 0.193145i | \(0.0618689\pi\) |
−0.998671 | + | 0.0515444i | \(0.983586\pi\) | |||||||
\(884\) | −239.658 | + | 372.916i | −0.271107 | + | 0.421850i | ||||
\(885\) | −318.977 | − | 138.478i | −0.360427 | − | 0.156472i | ||||
\(886\) | −70.1913 | + | 488.191i | −0.0792227 | + | 0.551006i | ||||
\(887\) | −922.219 | + | 200.616i | −1.03971 | + | 0.226174i | −0.699840 | − | 0.714300i | \(-0.746745\pi\) |
−0.339866 | + | 0.940474i | \(0.610382\pi\) | |||||||
\(888\) | 8.04771 | − | 112.522i | 0.00906274 | − | 0.126714i | ||||
\(889\) | 61.3352 | − | 28.0108i | 0.0689935 | − | 0.0315083i | ||||
\(890\) | −287.474 | + | 90.3199i | −0.323005 | + | 0.101483i | ||||
\(891\) | −805.083 | − | 236.394i | −0.903572 | − | 0.265313i | ||||
\(892\) | 53.9787 | + | 754.721i | 0.0605143 | + | 0.846100i | ||||
\(893\) | −922.491 | − | 503.718i | −1.03302 | − | 0.564074i | ||||
\(894\) | 247.250 | + | 112.915i | 0.276566 | + | 0.126304i | ||||
\(895\) | 481.513 | − | 374.800i | 0.538003 | − | 0.418770i | ||||
\(896\) | −78.3531 | −0.0874477 | ||||||||
\(897\) | −457.740 | − | 461.163i | −0.510301 | − | 0.514118i | ||||
\(898\) | 39.6154 | + | 39.6154i | 0.0441151 | + | 0.0441151i | ||||
\(899\) | −212.606 | + | 30.5681i | −0.236491 | + | 0.0340023i | ||||
\(900\) | 212.935 | + | 305.419i | 0.236594 | + | 0.339354i | ||||
\(901\) | −442.374 | + | 129.893i | −0.490982 | + | 0.144165i | ||||
\(902\) | 37.4106 | + | 523.069i | 0.0414752 | + | 0.579899i | ||||
\(903\) | 312.187 | + | 571.727i | 0.345722 | + | 0.633142i | ||||
\(904\) | −132.929 | − | 206.841i | −0.147045 | − | 0.228807i | ||||
\(905\) | 17.9032 | + | 12.8837i | 0.0197826 | + | 0.0142361i | ||||
\(906\) | 284.332 | + | 328.137i | 0.313832 | + | 0.362182i | ||||
\(907\) | −477.573 | + | 103.890i | −0.526541 | + | 0.114542i | −0.467975 | − | 0.883742i | \(-0.655016\pi\) |
−0.0585658 | + | 0.998284i | \(0.518653\pi\) | |||||||
\(908\) | −224.155 | + | 167.800i | −0.246867 | + | 0.184802i | ||||
\(909\) | 459.750 | + | 66.1021i | 0.505776 | + | 0.0727196i | ||||
\(910\) | 825.004 | − | 742.507i | 0.906597 | − | 0.815942i | ||||
\(911\) | 1030.32 | + | 1189.06i | 1.13098 | + | 1.30522i | 0.946616 | + | 0.322363i | \(0.104477\pi\) |
0.184364 | + | 0.982858i | \(0.440977\pi\) | |||||||
\(912\) | 79.4532 | + | 29.6345i | 0.0871197 | + | 0.0324940i | ||||
\(913\) | 36.9259 | + | 8.03274i | 0.0404446 | + | 0.00879819i | ||||
\(914\) | 190.358 | − | 648.299i | 0.208269 | − | 0.709299i | ||||
\(915\) | −14.3936 | + | 9.63766i | −0.0157307 | + | 0.0105330i | ||||
\(916\) | 456.887 | − | 134.154i | 0.498785 | − | 0.146456i | ||||
\(917\) | −437.384 | − | 1172.67i | −0.476973 | − | 1.27881i | ||||
\(918\) | 169.894 | − | 226.952i | 0.185070 | − | 0.247224i | ||||
\(919\) | − | 499.443i | − | 0.543463i | −0.962373 | − | 0.271732i | \(-0.912404\pi\) | ||
0.962373 | − | 0.271732i | \(-0.0875963\pi\) | |||||||
\(920\) | −306.442 | − | 109.057i | −0.333089 | − | 0.118540i | ||||
\(921\) | 28.7491 | 0.0312151 | ||||||||
\(922\) | 277.646 | + | 207.843i | 0.301135 | + | 0.225427i | ||||
\(923\) | −53.9678 | + | 20.1290i | −0.0584700 | + | 0.0218082i | ||||
\(924\) | −98.4219 | − | 335.194i | −0.106517 | − | 0.362764i | ||||
\(925\) | 716.039 | + | 356.689i | 0.774096 | + | 0.385610i | ||||
\(926\) | 546.260 | + | 160.396i | 0.589914 | + | 0.173214i | ||||
\(927\) | 161.999 | − | 744.697i | 0.174756 | − | 0.803341i | ||||
\(928\) | 81.1723 | − | 217.631i | 0.0874702 | − | 0.234517i | ||||
\(929\) | 62.3019 | − | 53.9849i | 0.0670634 | − | 0.0581107i | −0.620684 | − | 0.784061i | \(-0.713145\pi\) |
0.687748 | + | 0.725950i | \(0.258600\pi\) | |||||||
\(930\) | 46.0408 | + | 2.42308i | 0.0495062 | + | 0.00260546i | ||||
\(931\) | −2.51110 | + | 17.4651i | −0.00269720 | + | 0.0187595i | ||||
\(932\) | −255.425 | − | 341.208i | −0.274061 | − | 0.366103i | ||||
\(933\) | 51.5739 | + | 237.081i | 0.0552774 | + | 0.254106i | ||||
\(934\) | −265.953 | + | 230.449i | −0.284746 | + | 0.246734i | ||||
\(935\) | −976.495 | + | 159.209i | −1.04438 | + | 0.170277i | ||||
\(936\) | 401.585 | − | 258.083i | 0.429044 | − | 0.275730i | ||||
\(937\) | 336.115 | − | 183.533i | 0.358715 | − | 0.195873i | −0.289778 | − | 0.957094i | \(-0.593582\pi\) |
0.648493 | + | 0.761221i | \(0.275400\pi\) | |||||||
\(938\) | −705.796 | + | 50.4795i | −0.752448 | + | 0.0538161i | ||||
\(939\) | 207.663 | + | 707.236i | 0.221153 | + | 0.753180i | ||||
\(940\) | 395.819 | − | 474.557i | 0.421084 | − | 0.504848i | ||||
\(941\) | 212.451 | + | 1477.63i | 0.225772 | + | 1.57028i | 0.715632 | + | 0.698478i | \(0.246139\pi\) |
−0.489860 | + | 0.871801i | \(0.662952\pi\) | |||||||
\(942\) | −332.274 | + | 332.274i | −0.352732 | + | 0.352732i | ||||
\(943\) | −203.370 | + | 369.169i | −0.215663 | + | 0.391483i | ||||
\(944\) | 223.190i | 0.236430i | ||||||||
\(945\) | −560.153 | + | 436.011i | −0.592754 | + | 0.461388i | ||||
\(946\) | 897.081 | − | 1964.33i | 0.948289 | − | 2.07646i | ||||
\(947\) | 531.374 | − | 973.140i | 0.561113 | − | 1.02760i | −0.431011 | − | 0.902347i | \(-0.641843\pi\) |
0.992124 | − | 0.125256i | \(-0.0399752\pi\) | |||||||
\(948\) | 296.742 | − | 21.2234i | 0.313019 | − | 0.0223875i | ||||
\(949\) | 169.430 | − | 577.027i | 0.178536 | − | 0.608037i | ||||
\(950\) | −408.910 | + | 440.911i | −0.430431 | + | 0.464117i | ||||
\(951\) | 190.974 | + | 418.175i | 0.200814 | + | 0.439721i | ||||
\(952\) | −191.065 | − | 13.6653i | −0.200699 | − | 0.0143543i | ||||
\(953\) | −159.564 | − | 733.505i | −0.167434 | − | 0.769680i | −0.981889 | − | 0.189455i | \(-0.939328\pi\) |
0.814456 | − | 0.580226i | \(-0.197036\pi\) | |||||||
\(954\) | 491.442 | + | 70.6587i | 0.515138 | + | 0.0740657i | ||||
\(955\) | 77.7081 | + | 196.943i | 0.0813698 | + | 0.206223i | ||||
\(956\) | −129.222 | − | 83.0458i | −0.135169 | − | 0.0868680i | ||||
\(957\) | 1032.99 | + | 73.8808i | 1.07940 | + | 0.0772004i | ||||
\(958\) | 3.21072 | − | 8.60829i | 0.00335149 | − | 0.00898569i | ||||
\(959\) | 138.958 | + | 216.222i | 0.144898 | + | 0.225466i | ||||
\(960\) | −26.1609 | + | 42.4426i | −0.0272510 | + | 0.0442110i | ||||
\(961\) | 611.402 | − | 705.595i | 0.636214 | − | 0.734230i | ||||
\(962\) | 491.547 | − | 900.201i | 0.510964 | − | 0.935760i | ||||
\(963\) | −221.596 | + | 82.6511i | −0.230110 | + | 0.0858267i | ||||
\(964\) | 787.893 | − | 113.282i | 0.817317 | − | 0.117512i | ||||
\(965\) | 1128.04 | + | 308.287i | 1.16895 | + | 0.319468i | ||||
\(966\) | 80.1076 | − | 269.109i | 0.0829271 | − | 0.278581i | ||||
\(967\) | 392.460 | − | 392.460i | 0.405853 | − | 0.405853i | −0.474437 | − | 0.880290i | \(-0.657348\pi\) |
0.880290 | + | 0.474437i | \(0.157348\pi\) | |||||||
\(968\) | −488.935 | + | 653.141i | −0.505098 | + | 0.674732i | ||||
\(969\) | 188.580 | + | 86.1214i | 0.194613 | + | 0.0888766i | ||||
\(970\) | −168.172 | − | 161.958i | −0.173373 | − | 0.166967i | ||||
\(971\) | 750.097 | − | 865.658i | 0.772499 | − | 0.891512i | −0.224045 | − | 0.974579i | \(-0.571926\pi\) |
0.996544 | + | 0.0830671i | \(0.0264716\pi\) | |||||||
\(972\) | −414.580 | + | 226.378i | −0.426523 | + | 0.232899i | ||||
\(973\) | −29.8570 | − | 6.49500i | −0.0306856 | − | 0.00667523i | ||||
\(974\) | 259.418 | − | 118.472i | 0.266343 | − | 0.121635i | ||||
\(975\) | −126.748 | − | 694.803i | −0.129998 | − | 0.712618i | ||||
\(976\) | 9.35298 | + | 6.01079i | 0.00958297 | + | 0.00615860i | ||||
\(977\) | −261.032 | − | 348.698i | −0.267177 | − | 0.356907i | 0.646809 | − | 0.762652i | \(-0.276103\pi\) |
−0.913986 | + | 0.405745i | \(0.867012\pi\) | |||||||
\(978\) | −70.2051 | + | 52.5549i | −0.0717844 | + | 0.0537371i | ||||
\(979\) | −466.195 | + | 725.413i | −0.476195 | + | 0.740974i | ||||
\(980\) | −9.78646 | − | 3.44180i | −0.00998619 | − | 0.00351204i | ||||
\(981\) | −667.777 | − | 1462.23i | −0.680710 | − | 1.49055i | ||||
\(982\) | −70.1399 | + | 322.428i | −0.0714256 | + | 0.328338i | ||||
\(983\) | 131.094 | + | 240.081i | 0.133361 | + | 0.244233i | 0.935823 | − | 0.352471i | \(-0.114658\pi\) |
−0.802461 | + | 0.596704i | \(0.796477\pi\) | |||||||
\(984\) | 48.8250 | + | 42.3071i | 0.0496189 | + | 0.0429950i | ||||
\(985\) | −18.3516 | − | 975.025i | −0.0186310 | − | 0.989873i | ||||
\(986\) | 235.896 | − | 516.541i | 0.239246 | − | 0.523875i | ||||
\(987\) | 427.038 | + | 319.677i | 0.432663 | + | 0.323887i | ||||
\(988\) | 545.180 | + | 545.180i | 0.551801 | + | 0.551801i | ||||
\(989\) | 1463.60 | − | 932.911i | 1.47988 | − | 0.943288i | ||||
\(990\) | 1027.76 | + | 280.882i | 1.03814 | + | 0.283719i | ||||
\(991\) | 113.781 | + | 791.367i | 0.114815 | + | 0.798554i | 0.963125 | + | 0.269055i | \(0.0867112\pi\) |
−0.848310 | + | 0.529500i | \(0.822380\pi\) | |||||||
\(992\) | −10.3411 | − | 27.7255i | −0.0104245 | − | 0.0279491i | ||||
\(993\) | −53.9892 | − | 29.4804i | −0.0543698 | − | 0.0296882i | ||||
\(994\) | −18.8106 | − | 16.2995i | −0.0189242 | − | 0.0163979i | ||||
\(995\) | −348.960 | − | 1470.36i | −0.350714 | − | 1.47775i | ||||
\(996\) | 3.91648 | − | 2.51697i | 0.00393221 | − | 0.00252708i | ||||
\(997\) | 461.175 | + | 172.009i | 0.462563 | + | 0.172527i | 0.569931 | − | 0.821692i | \(-0.306970\pi\) |
−0.107369 | + | 0.994219i | \(0.534242\pi\) | |||||||
\(998\) | 19.1919 | − | 268.337i | 0.0192303 | − | 0.268875i | ||||
\(999\) | −354.633 | + | 551.819i | −0.354988 | + | 0.552372i |
(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 | 230.3.k.a.3.6 | ✓ | 240 | |
5.2 | odd | 4 | inner | 230.3.k.a.187.7 | yes | 240 | |
23.8 | even | 11 | inner | 230.3.k.a.123.7 | yes | 240 | |
115.77 | odd | 44 | inner | 230.3.k.a.77.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.k.a.3.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.3.k.a.77.6 | yes | 240 | 115.77 | odd | 44 | inner | |
230.3.k.a.123.7 | yes | 240 | 23.8 | even | 11 | inner | |
230.3.k.a.187.7 | yes | 240 | 5.2 | odd | 4 | inner |